CN115962760A - Projection parameter determination method and device, computer equipment and storage medium - Google Patents
Projection parameter determination method and device, computer equipment and storage medium Download PDFInfo
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Abstract
The application relates to a projection parameter determination method, a projection parameter determination device, computer equipment and a storage medium. The method comprises the following steps: acquiring coordinate data of a target area under a standard coordinate system, and configuring a central meridian at the central position of the target area; acquiring a plurality of groups of projection parameters, and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of the target area; calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data; and taking a group of projection parameters corresponding to the group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters. The projection data are obtained based on the target projection parameters determined by the method, the accuracy of the projection data can be improved, the city independent coordinate system is constructed according to the high-accuracy projection data, and the construction accuracy of the city independent coordinate system can be improved.
Description
Technical Field
The present application relates to the field of geodetic measurement technologies, and in particular, to a method, an apparatus, a computer device, a storage medium, and a computer program product for determining projection parameters.
Background
With the acceleration of urbanization pace, on one hand, the urban area is continuously enlarged, and the urban area is rapidly enlarged to thousands of square kilometers or even tens of thousands of square kilometers from the original city with hundreds of square kilometers; on the other hand, a large number of people rush into the city, so that the city infrastructure needs to be strengthened urgently, and the engineering field also puts forward new requirements for a city coordinate system. According to the zonation method of the national 6-degree zone or 3-degree zone and the national reference ellipsoid as the reduction surface, the problem that the projection deformation is increased along with the increase of the distance from the central meridian in the east-west direction can occur, and in the city with larger area, the deformation amount can not meet the requirement of engineering construction, so that an independent coordinate system of the city is required to be established, and convenience is provided for life production. When the local independent coordinate system is established to lay a measurement control network in cities or engineering construction areas (such as mines and reservoirs), the achievement not only needs to meet 1: the requirement of 500-scale mapping and the requirement of general engineering loft should be satisfied, the influence caused by elevation normalization and projection deformation should be reduced, and the influence is controlled in a small range, so that the calculated length does not need to be changed in actual use (such as engineering loft).
At present, cities develop rapidly, the area of urban areas is enlarged continuously, urban engineering construction is various, the original coordinate system and control networks cannot meet the requirements, and each city establishes an independent coordinate system in sequence, so that convenience is provided for life production. In addition, due to the use of the CGCS2000 geocentric coordinate system, the city independent coordinate system must be in contact with the CGCS2000 coordinate system, and new contents are given to the construction of the city independent coordinate system.
The existing urban independent coordinate system is mostly established by adopting Gaussian-Kruger projection, namely equiangular transverse elliptic cylinder projection, and although the projection deformation at the central meridian can be 0, the deformation of two sides of the central meridian is large, so that the deformation cannot be uniformly controlled, and the accuracy of the established urban independent coordinate system is not high.
Disclosure of Invention
In view of the foregoing, it is necessary to provide a projection parameter determining method, apparatus, computer device, computer readable storage medium and computer program product capable of improving the construction accuracy of the city independent coordinate system.
In a first aspect, the present application provides a method for determining projection parameters. The method comprises the following steps:
acquiring coordinate data of a target area under a standard coordinate system, and configuring a central meridian at the central position of the target area;
acquiring a plurality of groups of projection parameters, and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of the target area;
calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data;
and taking a group of projection parameters corresponding to the group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
In one embodiment, the configuring the central meridian at the central position of the target area includes:
performing 3-degree band Gaussian-Kligler projection on the coordinate data to obtain Gaussian projection data of the target area;
obtaining the deformation of each meridian in the Gaussian projection data, and if the deformation of the meridian is larger than a preset deformation, determining the central position of a target area;
the central meridian is moved so that the central meridian passes through the center position of the target region.
In one embodiment, the projection parameters include q and K, and acquiring a plurality of sets of projection parameters includes:
respectively configuring a first initial value corresponding to q and a second initial value corresponding to K, and configuring a first step distance corresponding to q and a second step distance corresponding to K;
and transforming q according to the first initial value and the first step pitch, and transforming K according to the second initial value and the second step pitch to obtain a plurality of combinations of q and K, and taking each combination of q and K as a group of projection parameters.
In one embodiment, the method further comprises:
projecting the coordinate data according to the target projection parameters to obtain target projection data of a target area;
establishing a plane coordinate system of a target area according to the target projection data;
according to the coordinate data, a regional ellipsoid of the target region is established, and the coordinate data in the plane coordinate system is mapped into the regional ellipsoid;
and carrying out coordinate conversion on the regional ellipsoid to obtain an independent coordinate system of the target region.
In one embodiment, establishing a planar coordinate system of the target area according to the target projection data includes:
determining a target position in the target area, and taking the target position as an origin of a plane coordinate system;
orienting a plane coordinate system according to a standard coordinate system, and determining the coordinate axis direction of the plane coordinate system;
and determining the corresponding relation between the target position and the target projection data, and establishing a plane coordinate system according to the corresponding relation, the origin and the coordinate axis direction.
In one embodiment, establishing a regional ellipsoid for the target region based on the coordinate data includes:
determining the number of reference points based on the area size of the target area;
acquiring one or more reference points from the coordinate data according to the number of the reference points;
and establishing a regional ellipsoid for the target area based on the one or more reference points and the average elevation surface of the target area.
In one embodiment, the performing coordinate transformation on the regional ellipsoid to obtain an independent coordinate system of the target region includes:
determining a reference coordinate system corresponding to the regional ellipsoid;
calculating conversion parameters between the reference coordinate system and the independent coordinate system of the target area by adopting a seven-parameter method;
and carrying out coordinate conversion on the regional ellipsoid according to the conversion parameters to obtain an independent coordinate system of the target region.
In a second aspect, the application further provides a projection parameter determination apparatus. The device comprises:
the acquisition module is used for acquiring coordinate data of a target area under a standard coordinate system and configuring a central meridian at the central position of the target area;
the projection module is used for acquiring a plurality of groups of projection parameters and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of the target area;
the computing module is used for computing the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data;
and the comparison module is used for taking a group of projection parameters corresponding to the group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
In a third aspect, the present application also provides a computer device. The computer device comprises a memory storing a computer program and a processor implementing the following steps when executing the computer program:
acquiring coordinate data of a target area under a standard coordinate system, and configuring a central meridian at the central position of the target area;
acquiring a plurality of groups of projection parameters, and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of the target area;
calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data;
and taking a group of projection parameters corresponding to the group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
In a fourth aspect, the present application further provides a computer-readable storage medium. The computer-readable storage medium having stored thereon a computer program which, when executed by a processor, performs the steps of:
acquiring coordinate data of a target area under a standard coordinate system, and configuring a central meridian at the central position of the target area;
acquiring a plurality of groups of projection parameters, and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of a target area;
calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data;
and taking a group of projection parameters corresponding to the group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
In a fifth aspect, the present application further provides a computer program product. The computer program product comprising a computer program which when executed by a processor performs the steps of:
acquiring coordinate data of a target area under a standard coordinate system, and configuring a central meridian at the central position of the target area;
acquiring a plurality of groups of projection parameters, and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of a target area;
calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data;
and taking a group of projection parameters corresponding to the group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
The projection parameter determining method, the projection parameter determining device, the computer equipment, the storage medium and the computer program product are used for acquiring coordinate data of a target area under a standard coordinate system and configuring a central meridian at the central position of the target area; acquiring a plurality of groups of projection parameters, and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of the target area; calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data; and taking a group of projection parameters corresponding to the group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters. The projection data are obtained based on the target projection parameters, the accuracy of the projection data can be improved, the city independent coordinate system is constructed according to the high-accuracy projection data, and the construction accuracy of the city independent coordinate system can be improved.
Drawings
FIG. 1 is a schematic flow chart diagram illustrating a method for determining projection parameters in one embodiment;
FIG. 2 is a schematic diagram of a coordinate transformation of a seven parameter method in one embodiment;
FIG. 3 is a block diagram of a projection parameter determining apparatus according to an embodiment;
FIG. 4 is a diagram illustrating an internal structure of a computer device according to an embodiment.
Detailed Description
In order to make the objects, technical solutions and advantages of the present application more apparent, the present application is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the present application and are not intended to limit the present application.
In an embodiment, as shown in fig. 1, a projection parameter determining method is provided, and this embodiment is illustrated by applying the method to a computer device, and it is understood that the computer device may specifically be a terminal or a server. The terminal can be but not limited to various personal computers, notebook computers, smart phones, tablet computers, internet of things equipment and portable wearable equipment, and the internet of things equipment can be smart sound boxes, smart televisions, smart air conditioners, smart medical equipment and the like. The portable wearable device can be a smart watch, a smart bracelet, a head-mounted device, and the like. The server may be implemented as a stand-alone server or as a server cluster consisting of a plurality of servers. In this embodiment, the method includes the steps of:
The standard Coordinate System refers to a CGCS2000 Coordinate System (national Geodetic Coordinate System 2000, english name is China Geodetic Coordinate System 2000, abbreviated as CGCS 2000) or a WGS-84 Coordinate System (World Geodetic System-1984 Coordinate System, which is a geocentric Coordinate System adopted internationally). The coordinate data refers to geographic information data acquired based on a standard coordinate system. The target area may be, but is not limited to, a city area.
Optionally, under a CGCS2000 coordinate system, obtaining relevant coordinate data of the urban area, then performing 3-degree band gaussian-gram projection on the coordinate data, and if a deformation amount of a meridian existing in the urban area is greater than a preset deformation amount, moving the central meridian to a center position of the urban area. The central position can be a central point determined by measuring the urban area, and the central meridian needs to pass through the central point; the central position can also be a central area determined by measuring the urban area, and the central meridian needs to pass through the central area; the central position can also be a central area determined by measuring the urban area, and the central meridian needs to pass through the central area; the central position may also be the north-south direction of the centre line as determined by urban area measurements, and the central meridian may be moved to coincide with the centre line.
And 104, acquiring a plurality of groups of projection parameters, and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of the target area.
Optionally, the projection parameters include q and K, a first initial value corresponding to q and a second initial value corresponding to K are configured, respectively, and a first step distance corresponding to q and a second step distance corresponding to K are configured; and transforming q according to the first initial value and the first step pitch, transforming K according to the second initial value and the second step pitch, obtaining a plurality of combinations of q and K, using each combination of q and K as a group of projection parameters, and projecting the coordinate data of the urban area according to each group of q and K to obtain a plurality of groups of sample projection data of the urban area.
And 106, calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data.
Where mean-square error (MSE) is a metric that reflects the degree of difference between the estimator and the estimated volume. Let t be an estimator of the overall parameter θ determined from the subsamples, (θ -t) 2 mathematical expectation, called the mean square error of the estimator t. It is equal to σ 2+ b2, where σ 2 and b are the variance and bias of t, respectively.
And step 108, taking a group of projection parameters corresponding to the group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
Optionally, a set of q and K corresponding to a set of sample projection data with the minimum MSE of the meridian deformation is used as the target projection parameter.
In the projection parameter determination method, coordinate data of a target area under a standard coordinate system is obtained, and a central meridian is configured at the central position of the target area; acquiring a plurality of groups of projection parameters, and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of the target area; calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data; and taking a group of projection parameters corresponding to the group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters. The projection data are obtained based on the target projection parameters, the accuracy of the projection data can be improved, the city independent coordinate system is constructed according to the high-accuracy projection data, and the construction accuracy of the city independent coordinate system can be improved.
In one embodiment, the configuring the central meridian at the central position of the target area includes: performing 3-degree band Gaussian-Kligler projection on the coordinate data to obtain Gaussian projection data of the target area; acquiring the deformation of each meridian in the Gaussian projection data, and if the deformation of the meridian is larger than a preset deformation, determining the central position of a target area; the central meridian is moved so that the central meridian passes through the center position of the target region.
Further, the projection parameters include q and K, and acquiring a plurality of sets of projection parameters includes: respectively configuring a first initial value corresponding to q and a second initial value corresponding to K, and configuring a first step distance corresponding to q and a second step distance corresponding to K; q is transformed according to the first initial value and the first step distance, K is transformed according to the second initial value and the second step distance, a plurality of combinations of q and K are obtained, and each combination of q and K is used as a group of projection parameters. And projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of the target area. And calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data. And taking a group of projection parameters corresponding to a group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
Optionally, under 3 ° band gaussian projection of the national standard, when the length deformation value in the urban area is greater than 2.5cm/km, determining the central meridian at the center of the urban area, transforming q and K with q =0, K =0 as an initial value, q =0.0005 and K =2 as upper limit values, respectively with 0.0001 and 0.5 as step distances, performing different combinations, performing projection respectively, and selecting an optimal projection parameter combination capable of effectively controlling the deformation amount based on minimum MSE.
In this embodiment, coordinate data of a target region in a standard coordinate system is obtained, and a central meridian is configured at a central position of the target region to obtain a plurality of sets of projection parameters. The method is suitable for establishing the independent coordinate system of the city, and can effectively prevent the projection deformation of the edges of the city or the coordinate system from exceeding the limit.
In one embodiment, the method further comprises: and projecting the coordinate data according to the target projection parameters to obtain target projection data of the target area. Determining a target position in the target area, and taking the target position as an origin of a plane coordinate system; orienting a plane coordinate system according to a standard coordinate system, and determining the coordinate axis direction of the plane coordinate system; and determining the corresponding relation between the target position and the target projection data, and establishing a plane coordinate system according to the corresponding relation, the origin and the coordinate axis direction. Determining the number of reference points based on the area size of the target area; acquiring one or more reference points from the coordinate data according to the number of the reference points; and establishing a regional ellipsoid of the target area according to the one or more reference points and the average elevation surface of the target area, and mapping the coordinate data in the plane coordinate system into the regional ellipsoid. Determining a reference coordinate system corresponding to the regional ellipsoid; calculating conversion parameters between the reference coordinate system and the independent coordinate system of the target area by adopting a seven-parameter method; and carrying out coordinate conversion on the regional ellipsoid according to the conversion parameters to obtain an independent coordinate system of the target region.
Optionally, first, a city plane coordinate system is determined. The orientation of the urban plane coordinate system is used for determining the initial azimuth angle of the whole coordinate system, and is consistent with the orientation of the national coordinate system, and the origin of the urban coordinate is generally selected from the center of an urban area or a stable and reliable urban high-level control point which is easy to store. The coordinate of the origin of the coordinate system can be added with a constant which is selected to ensure that all coordinate values of the coordinate system of the urban plane are positive values.
Furthermore, a regional ellipsoid is determined, a multipoint method is adopted for large-area cities, a single-point method is adopted for small-area cities, the regional ellipsoid is sufficiently close to the average elevation surface of the cities, then the target projection data are reduced to the ellipsoid, and the value of the surface is reduced to a Gaussian plane.
And finally, converting the coordinate result. If the new ellipsoid element is determined, the WGS-84 ellipsoid is used as a reference ellipsoid, and all coordinates under the WGS-84 are converted into coordinates under a new coordinate system. If the used CGCS2000 coordinates are determined when the ellipsoid elements are determined, the coordinates can be converted into the coordinates of WGS-84 and then into the coordinates under the city independent coordinate system. When the city independent coordinates are converted into the CGCS2000 or WGS-84 coordinates, a seven-parameter method can be adopted to solve the conversion parameters.
The method for solving the transformation parameters by the seven-parameter method is shown in fig. 2, and seven transformation parameters, namely 3 translation parameters, 3 rotation parameters and 1 scale parameter, are arranged between a coordinate system A and a coordinate system B. For example, coordinate system a is the CGCS2000 coordinate system and coordinate system B is the city independent coordinate system.
If: (X) A Y A Z A ) T Is a space rectangular coordinate of a certain point under a coordinate system A;
(X B Y B Z B ) T the spatial rectangular coordinate of the point under a coordinate system B;
(ΔX 0 ΔY 0 ΔZ 0 ) T translation parameters for converting coordinate system A to coordinate system B;
(ω x ω y ω z ) T converting the coordinate system A into a rotation parameter of a coordinate system B;
and m is a scale parameter for converting the coordinate system A into the coordinate system B.
The transformation relationship from coordinate system a to coordinate system B is:
wherein:
common to omega x 、ω y And ω z Small angles are formed, cos omega and sin omega are respectively expanded by Cheng Taile series, only a first order term is reserved, and then:
cosω≈1
sinω≈ω (5)
then there are:
without knowing the transformation parameters, the transformation parameters can be solved backwards by two sets of coordinates for three or more known points, as follows.
Equation (1) can be written as:
where a =1+ m, b = (1+m) ω z ,c＝(1+m)ω y ,d＝(1+m)ω x 。
The formula (7) is modified to obtain:
if the coordinates in coordinate system a are considered as accurate values and the coordinates in coordinate system B are considered as observed values, the error equation can be listed:
when there are three or more points, nine or more equations can be listed, and the parameters are only seven, then the solution is carried out by adopting the indirect adjustment method according to the principle of least square. As for the conversion of the plane coordinates, the conversion parameters can be solved by adopting a similarity transformation method according to the projection results of the new and old coordinates of the same point. The similarity transformation formula is as follows:
in the formula, X A 、Y A The coordinate is the coordinate under the original plane coordinate system; x B 、Y B Is a coordinate under an independent coordinate system; Δ X 0 、ΔY 0 Converting the original plane coordinate into the translation amount of the plane coordinate under an independent coordinate system; m and alpha are respectively a scaling factor and a rotation angle for converting the original plane coordinate to an independent coordinate system.
For ease of handling, equation (10) can be simplified as:
in the formula (I), the compound is shown in the specification,
in the embodiment, the coordinate data is projected according to the target projection parameters to obtain target projection data of a target area; establishing a plane coordinate system of a target area according to the target projection data; according to the coordinate data, a regional ellipsoid of the target region is established, and the coordinate data in the plane coordinate system is mapped into the regional ellipsoid; and carrying out coordinate conversion on the regional ellipsoid to obtain an independent coordinate system of the target region. The optimal projection parameter combination can be obtained to balance the projection deformation at different longitudes, the projection deformation is reduced, the projection deformation at the edge of an urban area or the edge of a coordinate system is effectively prevented from exceeding the limit, and the construction precision of an independent coordinate system of the city is improved.
In one embodiment, a projection parameter determination method includes:
acquiring coordinate data of a target area under a standard coordinate system, and performing 3-degree band-Gaussian-gram projection on the coordinate data to obtain Gaussian projection data of the target area; acquiring the deformation of each meridian in the Gaussian projection data, and if the deformation of the meridian is larger than a preset deformation, determining the central position of a target area; the central meridian is moved so that the central meridian passes through the center position of the target region.
Respectively configuring a first initial value corresponding to q and a second initial value corresponding to K, and configuring a first step distance corresponding to q and a second step distance corresponding to K; and transforming q according to the first initial value and the first step pitch, and transforming K according to the second initial value and the second step pitch to obtain a plurality of combinations of q and K, and taking each combination of q and K as a group of projection parameters. And projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of the target area. And calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data. And taking a group of projection parameters corresponding to a group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
And projecting the coordinate data according to the target projection parameters to obtain target projection data of a target area.
Determining a target position in the target area, and taking the target position as an origin of a plane coordinate system; orienting the plane coordinate system according to a standard coordinate system, and determining the coordinate axis direction of the plane coordinate system; and determining the corresponding relation between the target position and the target projection data, and establishing a plane coordinate system according to the corresponding relation, the origin and the coordinate axis direction. Determining the number of reference points based on the area size of the target area; acquiring one or more reference points from the coordinate data according to the number of the reference points; and establishing a regional ellipsoid of the target area according to the one or more reference points and the average elevation surface of the target area, and mapping the coordinate data in the plane coordinate system into the regional ellipsoid. Determining a reference coordinate system corresponding to the regional ellipsoid; calculating conversion parameters between the reference coordinate system and the independent coordinate system of the target area by adopting a seven-parameter method; and carrying out coordinate conversion on the regional ellipsoid according to the conversion parameters to obtain an independent coordinate system of the target region.
For example, the actual measurement data of a city is selected as the research data, the whole area range of the city is located in the range of east longitude 120 degrees 55 degrees to 122 degrees 16 degrees, north latitude 28 degrees 51 degrees to 30 degrees 33 degrees, the 3 degrees band of the country is unified within the range of 40 degrees (the longitude of the central meridian is 120 degrees), so the whole city area is located on the west side of the central meridian, the distance from the west side to the central meridian of the city is 91Km through calculation, and the distance from the east side to the central meridian is 204Km through calculation. The data used in this experiment are distributed evenly at each level of control points in a certain city, and the total number is 106, and the coordinate system is CGCS2000. The mean geodetic height of the city is 53.65m, the mean radius of curvature is 6371km, the central meridian is moved to the center of the city, the center longitude is 121.53 °, and a reference point gj18 is selected (29.8119545, 121.4822751, 16.9). And taking the central meridian to the center of an urban area, setting the initial values of the projection parameters q and K to be 0 and 0 respectively, transforming the values of q and K according to the change step lengths of 0.0001 and 0.5 respectively, carrying out different combinations, and selecting the optimal scheme by taking the minimum MSE as the reference. The results obtained found that: if national standard three-degree zone projection is adopted, the projection deformation at 106 control points can not meet the requirement of city measurement specification due to overlarge distance between a city and a central meridian; when only the central meridian is moved to the center of the city, the comprehensive projection deformation at 66 points meets the requirement of the city measurement specification; further, it was found that, through a plurality of combinations, a change in the q value has a larger effect on the result than a change in the K value, and the effect of controlling the deformation is best when the q value is 0.0001, K =1 on the order of minus four times of ten.
Comparing the calculated result using the gaussian projection with the result using the projection parameter q =0.0001, k =1, as shown in table 1 and table 2, it can be seen that the projection of the elliptic cylinder by using the projection parameter q =0.0001, k =1, where the double meridian is at about ± 0.8 ° from the central meridian, and this projection manner can more uniformly limit the deformation amount and prevent the projection deformation amount at the edge of the urban area (or at a distance farther from the central meridian) from being out of limit. It can be shown that the method of establishing the city-independent coordinate system using the projection scheme determined by the q =0.0001 k =1 projection parameters can more effectively suppress the projection distortion by moving the central meridian to the center of the city.
TABLE 1 deformation amount in certain market region when q =0
| 0 | 0.2 | 0.4 | 0.6 | 0.8 | 1 | |
| 29 | 0.0000000 | 0.0000047 | 0.0000187 | 0.0000422 | 0.0000750 | 0.0001171 |
| 29.2 | 0.0000000 | 0.0000047 | 0.0000187 | 0.0000420 | 0.0000747 | 0.0001167 |
| 29.4 | 0.0000000 | 0.0000046 | 0.0000186 | 0.0000418 | 0.0000744 | 0.0001162 |
| 29.6 | 0.0000000 | 0.0000046 | 0.0000185 | 0.0000417 | 0.0000741 | 0.0001157 |
| 29.8 | 0.0000000 | 0.0000046 | 0.0000184 | 0.0000415 | 0.0000738 | 0.0001153 |
| 30 | 0.0000000 | 0.0000046 | 0.0000184 | 0.0000413 | 0.0000735 | 0.0001148 |
| 30.2 | 0.0000000 | 0.0000046 | 0.0000183 | 0.0000412 | 0.0000732 | 0.0001144 |
| 30.4 | 0.0000000 | 0.0000046 | 0.0000182 | 0.0000410 | 0.0000729 | 0.0001139 |
| 30.6 | 0.0000000 | 0.0000045 | 0.0000181 | 0.0000408 | 0.0000726 | 0.0001134 |
| 30.8 | 0.0000000 | 0.0000045 | 0.0000181 | 0.0000407 | 0.0000723 | 0.0001129 |
| 31 | 0.0000000 | 0.0000045 | 0.0000180 | 0.0000405 | 0.0000720 | 0.0001125 |
TABLE 1 deformation amount of a city zone when q =0
| 0 | 0.2 | 0.4 | 0.6 | 0.8 | 1 | |
| 29 | -0.0000765 | -0.0000718 | -0.0000578 | -0.0000343 | -0.0000016 | 0.0000406 |
| 29.2 | -0.0000762 | -0.0000715 | -0.0000575 | -0.0000342 | -0.0000015 | 0.0000404 |
| 29.4 | -0.0000759 | -0.0000713 | -0.0000573 | -0.0000341 | -0.0000015 | 0.0000403 |
| 29.6 | -0.0000756 | -0.0000710 | -0.0000571 | -0.0000339 | -0.0000015 | 0.0000401 |
| 29.8 | -0.0000753 | -0.0000707 | -0.0000569 | -0.0000338 | -0.0000015 | 0.0000400 |
| 30 | -0.0000750 | -0.0000704 | -0.0000566 | -0.0000337 | -0.0000015 | 0.0000398 |
| 30.2 | -0.0000747 | -0.0000701 | -0.0000564 | -0.0000335 | -0.0000015 | 0.0000396 |
| 30.4 | -0.0000744 | -0.0000698 | -0.0000562 | -0.0000334 | -0.0000015 | 0.0000395 |
| 30.6 | -0.0000741 | -0.0000696 | -0.0000559 | -0.0000333 | -0.0000015 | 0.0000393 |
| 30.8 | -0.0000738 | -0.0000693 | -0.0000557 | -0.0000331 | -0.0000015 | 0.0000391 |
| 31 | -0.0000735 | -0.0000690 | -0.0000555 | -0.0000330 | -0.0000015 | 0.0000390 |
Table 2 q =0.0001 k =1, deformation amount of the city area
It should be understood that, although the steps in the flowcharts related to the embodiments described above are shown in sequence as indicated by the arrows, the steps are not necessarily performed in sequence as indicated by the arrows. The steps are not limited to being performed in the exact order illustrated and, unless explicitly stated herein, may be performed in other orders. Moreover, at least a part of the steps in the flowcharts related to the embodiments described above may include multiple steps or multiple stages, which are not necessarily performed at the same time, but may be performed at different times, and the execution order of the steps or stages is not necessarily sequential, but may be rotated or alternated with other steps or at least a part of the steps or stages in other steps.
Based on the same inventive concept, the embodiment of the present application further provides a projection parameter determining apparatus for implementing the projection parameter determining method mentioned above. The implementation scheme for solving the problem provided by the apparatus is similar to the implementation scheme described in the above method, so the specific limitations in one or more embodiments of the projection parameter determining apparatus provided below may refer to the limitations on the projection parameter determining method in the foregoing, and details are not described herein again.
In one embodiment, as shown in fig. 3, there is provided a projection parameter determination apparatus 300, comprising: an obtaining module 301, a projecting module 302, a calculating module 303 and a comparing module 304, wherein:
an obtaining module 301, configured to obtain coordinate data of a target area in a standard coordinate system, and configure a central meridian at a central position of the target area;
the projection module 302 is configured to obtain multiple sets of projection parameters, and project the coordinate data according to each set of projection parameters to obtain multiple sets of sample projection data of the target area;
the calculating module 303 is configured to calculate a mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data;
and the comparison module 304 is configured to use a set of projection parameters corresponding to the set of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
In one embodiment, the obtaining module 301 is further configured to perform a 3-degree band gaussian-gram projection on the coordinate data to obtain gaussian projection data of the target region; obtaining the deformation of each meridian in the Gaussian projection data, and if the deformation of the meridian is larger than a preset deformation, determining the central position of a target area; the central meridian is moved so that the central meridian passes through the center position of the target region.
In one embodiment, the projection module 302 is further configured to configure a first initial value corresponding to q and a second initial value corresponding to K, and configure a first step distance corresponding to q and a second step distance corresponding to K; q is transformed according to the first initial value and the first step distance, K is transformed according to the second initial value and the second step distance, a plurality of combinations of q and K are obtained, and each combination of q and K is used as a group of projection parameters.
In one embodiment, the apparatus further comprises:
a construction module 305, configured to project the coordinate data according to the target projection parameters to obtain target projection data of a target area; establishing a plane coordinate system of a target area according to the target projection data; according to the coordinate data, a regional ellipsoid of the target region is established, and the coordinate data in the plane coordinate system is mapped into the regional ellipsoid; and carrying out coordinate conversion on the regional ellipsoid to obtain an independent coordinate system of the target region.
In one embodiment, the construction module 305 is further configured to determine a target position in the target area, and use the target position as an origin of the planar coordinate system; orienting a plane coordinate system according to a standard coordinate system, and determining the coordinate axis direction of the plane coordinate system; and determining the corresponding relation between the target position and the target projection data, and establishing a plane coordinate system according to the corresponding relation, the origin and the coordinate axis direction.
In one embodiment, the build module 305 is further configured to determine a number of fiducial points based on an area size of the target region; acquiring one or more reference points from the coordinate data according to the number of the reference points; an areal ellipsoid is established for the target area based on the one or more reference points and the average elevation surface for the target area.
In one embodiment, the construction module 305 is further configured to determine a reference coordinate system corresponding to the regional ellipsoid; calculating conversion parameters between the reference coordinate system and the independent coordinate system of the target area by adopting a seven-parameter method; and carrying out coordinate conversion on the regional ellipsoid according to the conversion parameters to obtain an independent coordinate system of the target region.
The modules in the projection parameter determination device can be implemented in whole or in part by software, hardware and a combination thereof. The modules can be embedded in a hardware form or independent from a processor in the computer device, and can also be stored in a memory in the computer device in a software form, so that the processor can call and execute operations corresponding to the modules.
In one embodiment, a computer device is provided, which may be a terminal, and its internal structure diagram may be as shown in fig. 4. The computer apparatus includes a processor, a memory, an input/output interface, a communication interface, a display unit, and an input device. The processor, the memory and the input/output interface are connected by a system bus, and the communication interface, the display unit and the input device are connected by the input/output interface to the system bus. Wherein the processor of the computer device is configured to provide computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a computer program. The internal memory provides an environment for the operating system and the computer program to run on the non-volatile storage medium. The input/output interface of the computer device is used for exchanging information between the processor and an external device. The communication interface of the computer device is used for communicating with an external terminal in a wired or wireless manner, and the wireless manner can be realized through WIFI, a mobile cellular network, NFC (near field communication) or other technologies. The computer program is executed by a processor to implement a projection parameter determination method. The display unit of the computer device is used for forming a visual picture and can be a display screen, a projection device or a virtual reality imaging device. The display screen can be a liquid crystal display screen or an electronic ink display screen, and the input device of the computer equipment can be a touch layer covered on the display screen, a key, a track ball or a touch pad arranged on the shell of the computer equipment, an external keyboard, a touch pad or a mouse and the like.
Those skilled in the art will appreciate that the architecture shown in fig. 4 is merely a block diagram of some of the structures associated with the disclosed aspects and is not intended to limit the computing devices to which the disclosed aspects apply, as particular computing devices may include more or less components than those shown, or may combine certain components, or have a different arrangement of components.
In one embodiment, a computer device is provided, comprising a memory and a processor, the memory having a computer program stored therein, the processor implementing the following steps when executing the computer program: acquiring coordinate data of a target area under a standard coordinate system, and configuring a central meridian at the central position of the target area; acquiring a plurality of groups of projection parameters, and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of the target area; calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data; and taking a group of projection parameters corresponding to a group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
In one embodiment, the processor, when executing the computer program, further performs the steps of: performing 3-degree band Gaussian-Kligler projection on the coordinate data to obtain Gaussian projection data of the target area; obtaining the deformation of each meridian in the Gaussian projection data, and if the deformation of the meridian is larger than a preset deformation, determining the central position of a target area; the central meridian is moved so that the central meridian passes through the center position of the target region.
In one embodiment, the processor, when executing the computer program, further performs the steps of: respectively configuring a first initial value corresponding to q and a second initial value corresponding to K, and configuring a first step distance corresponding to q and a second step distance corresponding to K; and transforming q according to the first initial value and the first step pitch, and transforming K according to the second initial value and the second step pitch to obtain a plurality of combinations of q and K, and taking each combination of q and K as a group of projection parameters.
In one embodiment, the processor when executing the computer program further performs the steps of: projecting the coordinate data according to the target projection parameters to obtain target projection data of a target area; establishing a plane coordinate system of a target area according to the target projection data; according to the coordinate data, a regional ellipsoid of the target region is established, and the coordinate data in the plane coordinate system is mapped into the regional ellipsoid; and carrying out coordinate conversion on the regional ellipsoid to obtain an independent coordinate system of the target region.
In one embodiment, the processor, when executing the computer program, further performs the steps of: determining a target position in the target area, and taking the target position as an origin of a plane coordinate system; orienting the plane coordinate system according to a standard coordinate system, and determining the coordinate axis direction of the plane coordinate system; and determining the corresponding relation between the target position and the target projection data, and establishing a plane coordinate system according to the corresponding relation, the origin and the coordinate axis direction.
In one embodiment, the processor, when executing the computer program, further performs the steps of: determining the number of reference points based on the area size of the target area; acquiring one or more reference points from the coordinate data according to the number of the reference points; an areal ellipsoid is established for the target area based on the one or more reference points and the average elevation surface for the target area.
In one embodiment, the processor, when executing the computer program, further performs the steps of: determining a reference coordinate system corresponding to the regional ellipsoid; calculating conversion parameters between the reference coordinate system and the independent coordinate system of the target area by adopting a seven-parameter method; and carrying out coordinate conversion on the regional ellipsoid according to the conversion parameters to obtain an independent coordinate system of the target region.
In one embodiment, a computer-readable storage medium is provided, having a computer program stored thereon, which when executed by a processor, performs the steps of: acquiring coordinate data of a target area under a standard coordinate system, and configuring a central meridian at the central position of the target area; acquiring a plurality of groups of projection parameters, and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of the target area; calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data; and taking a group of projection parameters corresponding to the group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
In one embodiment, the computer program when executed by the processor further performs the steps of: performing 3-degree band Gaussian-Kligler projection on the coordinate data to obtain Gaussian projection data of the target area; acquiring the deformation of each meridian in the Gaussian projection data, and if the deformation of the meridian is larger than a preset deformation, determining the central position of a target area; the central meridian is moved so that the central meridian passes through the center position of the target region.
In one embodiment, the computer program when executed by the processor further performs the steps of: respectively configuring a first initial value corresponding to q and a second initial value corresponding to K, and configuring a first step pitch corresponding to q and a second step pitch corresponding to K; q is transformed according to the first initial value and the first step distance, K is transformed according to the second initial value and the second step distance, a plurality of combinations of q and K are obtained, and each combination of q and K is used as a group of projection parameters.
In one embodiment, the computer program when executed by the processor further performs the steps of: projecting the coordinate data according to the target projection parameters to obtain target projection data of a target area; establishing a plane coordinate system of a target area according to the target projection data; according to the coordinate data, a regional ellipsoid of the target region is established, and the coordinate data in the plane coordinate system is mapped into the regional ellipsoid; and carrying out coordinate conversion on the regional ellipsoid to obtain an independent coordinate system of the target region.
In one embodiment, the computer program when executed by the processor further performs the steps of: determining a target position in the target area, and taking the target position as an origin of a plane coordinate system; orienting a plane coordinate system according to a standard coordinate system, and determining the coordinate axis direction of the plane coordinate system; and determining the corresponding relation between the target position and the target projection data, and establishing a plane coordinate system according to the corresponding relation, the origin and the coordinate axis direction.
In one embodiment, the computer program when executed by the processor further performs the steps of: determining the number of reference points based on the area size of the target area; acquiring one or more reference points from the coordinate data according to the number of the reference points; an areal ellipsoid is established for the target area based on the one or more reference points and the average elevation surface for the target area.
In one embodiment, the computer program when executed by the processor further performs the steps of: determining a reference coordinate system corresponding to the regional ellipsoid; calculating conversion parameters between the reference coordinate system and the independent coordinate system of the target area by adopting a seven-parameter method; and carrying out coordinate conversion on the regional ellipsoid according to the conversion parameters to obtain an independent coordinate system of the target region.
In one embodiment, a computer program product is provided, comprising a computer program which when executed by a processor performs the steps of: acquiring coordinate data of a target area under a standard coordinate system, and configuring a central meridian at the central position of the target area; acquiring a plurality of groups of projection parameters, and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of a target area; calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data; and taking a group of projection parameters corresponding to a group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
In one embodiment, the computer program when executed by the processor further performs the steps of: performing 3-degree Gaussian-Kluger projection on the coordinate data to obtain Gaussian projection data of the target area; acquiring the deformation of each meridian in the Gaussian projection data, and if the deformation of the meridian is larger than a preset deformation, determining the central position of a target area; the central meridian is moved so that the central meridian passes through the center position of the target region.
In one embodiment, the computer program when executed by the processor further performs the steps of: respectively configuring a first initial value corresponding to q and a second initial value corresponding to K, and configuring a first step distance corresponding to q and a second step distance corresponding to K; q is transformed according to the first initial value and the first step distance, K is transformed according to the second initial value and the second step distance, a plurality of combinations of q and K are obtained, and each combination of q and K is used as a group of projection parameters.
In one embodiment, the computer program when executed by the processor further performs the steps of: projecting the coordinate data according to the target projection parameters to obtain target projection data of a target area; establishing a plane coordinate system of a target area according to the target projection data; according to the coordinate data, a regional ellipsoid of the target region is established, and the coordinate data in the plane coordinate system is mapped into the regional ellipsoid; and carrying out coordinate conversion on the regional ellipsoid to obtain an independent coordinate system of the target region.
In one embodiment, the computer program when executed by the processor further performs the steps of: determining a target position in the target area, and taking the target position as an origin of a plane coordinate system; orienting a plane coordinate system according to a standard coordinate system, and determining the coordinate axis direction of the plane coordinate system; and determining the corresponding relation between the target position and the target projection data, and establishing a plane coordinate system according to the corresponding relation, the origin and the coordinate axis direction.
In one embodiment, the computer program when executed by the processor further performs the steps of: determining the number of reference points based on the area size of the target area; acquiring one or more reference points from the coordinate data according to the number of the reference points; and establishing a regional ellipsoid for the target area based on the one or more reference points and the average elevation surface of the target area.
In one embodiment, the computer program when executed by the processor further performs the steps of: determining a reference coordinate system corresponding to the regional ellipsoid; calculating conversion parameters between the reference coordinate system and the independent coordinate system of the target area by adopting a seven-parameter method; and carrying out coordinate conversion on the regional ellipsoid according to the conversion parameters to obtain an independent coordinate system of the target region.
It should be noted that the user information (including but not limited to user device information, user personal information, etc.) and data (including but not limited to data for analysis, stored data, displayed data, etc.) referred to in the present application are information and data authorized by the user or fully authorized by each party, and the collection, use and processing of the related data need to comply with the relevant laws and regulations and standards of the relevant countries and regions.
It will be understood by those skilled in the art that all or part of the processes of the methods of the embodiments described above can be implemented by hardware instructions of a computer program, which can be stored in a non-volatile computer-readable storage medium, and when executed, can include the processes of the embodiments of the methods described above. Any reference to memory, databases, or other media used in the embodiments provided herein can include at least one of non-volatile and volatile memory. The nonvolatile Memory may include Read-Only Memory (ROM), magnetic tape, floppy disk, flash Memory, optical Memory, high-density embedded nonvolatile Memory, resistive Random Access Memory (ReRAM), magnetic Random Access Memory (MRAM), ferroelectric Random Access Memory (FRAM), phase Change Memory (PCM), graphene Memory, and the like. Volatile Memory can include Random Access Memory (RAM), external cache Memory, and the like. By way of illustration and not limitation, RAM can take many forms, such as Static Random Access Memory (SRAM) or Dynamic Random Access Memory (DRAM), for example. The databases referred to in various embodiments provided herein may include at least one of relational and non-relational databases. The non-relational database may include, but is not limited to, a block chain based distributed database, and the like. The processors referred to in the various embodiments provided herein may be, without limitation, general purpose processors, central processing units, graphics processors, digital signal processors, programmable logic devices, quantum computing-based data processing logic devices, or the like.
The technical features of the above embodiments can be arbitrarily combined, and for the sake of brevity, all possible combinations of the technical features in the above embodiments are not described, but should be considered as the scope of the present specification as long as there is no contradiction between the combinations of the technical features.
The above-mentioned embodiments only express several embodiments of the present application, and the description thereof is more specific and detailed, but not construed as limiting the scope of the present application. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the concept of the present application, which falls within the scope of protection of the present application. Therefore, the protection scope of the present application should be subject to the appended claims.
Claims (10)
1. A method for projection parameter determination, the method comprising:
acquiring coordinate data of a target area under a standard coordinate system, and configuring a central meridian at the central position of the target area;
acquiring a plurality of groups of projection parameters, and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of the target area;
calculating the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data;
and taking a group of projection parameters corresponding to the group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
2. The method of claim 1, wherein said configuring a central meridian at a central location of said target area comprises:
performing 3-degree Gaussian-gram projection on the coordinate data to obtain Gaussian projection data of the target area;
obtaining the deformation of each meridian in the Gaussian projection data, and if the deformation of the meridian is larger than a preset deformation, determining the central position of the target area;
moving the central meridian so that the central meridian passes through a central position of the target region.
3. The method of claim 1, wherein the projection parameters comprise q and K, and wherein obtaining the plurality of sets of projection parameters comprises:
respectively configuring a first initial value corresponding to q and a second initial value corresponding to K, and configuring a first step distance corresponding to q and a second step distance corresponding to K;
and transforming q according to the first initial value and the first step pitch, transforming K according to the second initial value and the second step pitch, obtaining a plurality of combinations of q and K, and taking each combination of q and K as a group of projection parameters.
4. The method of claim 1, further comprising:
projecting the coordinate data according to the target projection parameters to obtain target projection data of the target area;
establishing a plane coordinate system of the target area according to the target projection data;
according to the coordinate data, a regional ellipsoid of the target region is established, and the coordinate data in the plane coordinate system is mapped into the regional ellipsoid;
and carrying out coordinate conversion on the regional ellipsoid to obtain an independent coordinate system of the target region.
5. The method of claim 4, wherein establishing a planar coordinate system of the target region from the target projection data comprises:
determining a target position in the target area, and taking the target position as an origin of a plane coordinate system;
orienting the plane coordinate system according to the standard coordinate system, and determining the coordinate axis direction of the plane coordinate system;
and determining the corresponding relation between the target position and the target projection data, and establishing the plane coordinate system according to the corresponding relation, the origin and the coordinate axis direction.
6. The method of claim 4, wherein the creating a regional ellipsoid for the target region based on the coordinate data comprises:
determining the number of reference points based on the area size of the target area;
acquiring one or more reference points from the coordinate data according to the number of the reference points;
and establishing a regional ellipsoid for the target area according to the one or more reference points and the average elevation surface of the target area.
7. The method of claim 4, wherein the performing the coordinate transformation on the regional ellipsoid to obtain the independent coordinate system of the target region comprises:
determining a reference coordinate system corresponding to the regional ellipsoid;
calculating conversion parameters between the reference coordinate system and the independent coordinate system of the target area by adopting a seven-parameter method;
and carrying out coordinate conversion on the regional ellipsoid according to the conversion parameters to obtain an independent coordinate system of the target region.
8. An apparatus for projection parameter determination, the apparatus comprising:
the system comprises an acquisition module, a central meridian and a central processing module, wherein the acquisition module is used for acquiring coordinate data of a target area under a standard coordinate system and configuring a central meridian at the central position of the target area;
the projection module is used for acquiring a plurality of groups of projection parameters and projecting the coordinate data according to each group of projection parameters to obtain a plurality of groups of sample projection data of the target area;
the computing module is used for computing the mean square error of the warp deformation of each group of sample projection data according to the deformation of each warp in each group of sample projection data;
and the comparison module is used for taking a group of projection parameters corresponding to the group of sample projection data with the minimum mean square error of the warp deformation as target projection parameters.
9. A computer device comprising a memory and a processor, the memory storing a computer program, characterized in that the processor, when executing the computer program, implements the steps of the method of any of claims 1 to 7.
10. A computer-readable storage medium, on which a computer program is stored which, when being executed by a processor, carries out the steps of the method according to any one of claims 1 to 7.
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