CN110363859A - A kind of space lattice model triangulation methodology of abnormal curved surface structures - Google Patents
A kind of space lattice model triangulation methodology of abnormal curved surface structures Download PDFInfo
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Abstract
The invention discloses a kind of space lattice model triangulation methodology of abnormal curved surface structures, include the following steps: the luv space grid model for obtaining abnormal curved surface structures；Input luv space grid model determines initial mesh model according to model foundation Half-Edge half of data structure in a computer；Goal-selling number of nodes and unit size are arranged intelligent body quantity and repel radius initial value；Newly-built space lattice node listing is added in all intelligent bodies of uniformly dispersing by the uniformly dispersing intelligent body in initial mesh model；Using intelligent body space coordinate as referring to node, new triangulation space lattice is established；If the subdivision grid does not reach expection, to intelligent body quantity and repels radius and be adjusted, repeat the above steps, until the subdivision grid of generation reaches expected, complete triangulation.The present invention promotes the efficiency of computer modeling work, can be adjusted in real time to newly-built grid by the setting of parameters, and operation is concise intuitive.
Description
Technical field
The invention belongs to grid model process field more particularly to a kind of space lattice models three of abnormal curved surface structures
Angle subdivision method.
Background technique
Finite element adaptive grid generation is engineering science and the important research field that computational science intersects, currently, two-dimensional grid
Subdivision method it is more perfect, can be rapidly completed according to design drawing and business software；For three-dimensional grid, regular net
Lattice can be stretched through two-dimensional grid and be obtained, and complicated grid can be obtained by tetrahedral grid through automatic division.
The subdivision of computer grid (Mesh) model and reconstruction are cutd open mostly based on deleting and segmenting to original grid at present
Divide result is more to depend on original grid model feature, it is difficult to accurately be controlled to the size of grid model unit, uniformity coefficient
System.Grid model higher for uniformity requirements, generally requires manual modeling, takes considerable time.
Summary of the invention
Goal of the invention: in view of the above problems, the present invention proposes a kind of space lattice model triangle of abnormal curved surface structures
Subdivision method.This method uniform stationing on original space lattice face, as newly-built subdivision grid vertex, by layout spacing and
The control of quantity is adjusted subdivision unit, and final output meets the subdivision grid model file of design requirement, is maintaining
Under the premise of original mesh space form, the quick adjustment to grid dividing mode is realized.
Technical solution: to achieve the purpose of the present invention, the technical scheme adopted by the invention is that: a kind of abnormal curved surface is constructed
The space lattice model triangulation methodology of object, includes the following steps:
(1) the original form design space grid model of abnormal curved surface structures is obtained；The abnormal curved surface structures packet
Include elevation of building, landscape structures；By handling original form design space grid model, with meet it is practical build and
Effect is built up to the specific requirements of grid cell size and the uniformity；
(2) the luv space grid model for needing again subdivision is inputted in a computer, is built according to luv space grid model
Vertical Half-Edge half of data structure unit information searching system；For recording and transferring luv space grid model elemental area
Neighbor information；The space lattice model recorded with adjacent surface information is determined as initial mesh model；
(3) gained creates grid node quantity and unit size target value after presetting subdivision according to actual design demand,
As the foundation for advanced optimizing mutually exclusive radius between intelligent body quantity and intelligent body；Be arranged intelligent body quantity initial value with
And repel radius initial value；The intelligent body refers to the individual cell that reciprocal effect can be generated with group environment, is by space
Computational entity made of point on grid surface is abstracted；
(4) according to grid node quantity preset in step (3) and unit size target value, in initial mesh model
Random scatter intelligent body, it is mutually exclusive and tend to disperse that intelligent body with it repels other intelligent bodies in radius, real after n times iteration
In the uniformly dispersing of initial mesh model grid surface newly-built space lattice node listing is added in all intelligent bodies by existing intelligent body；
(5) it according to space lattice node listing is created, using the intelligent body space coordinate of uniformly dispersing as referring to node, builds
Found new triangulation space lattice；
(6) when the subdivision grid that step (5) generate fails to achieve the desired results, between intelligent body quantity and intelligent body
Mutually exclusive radius is adjusted, and repeats step (4)~(5), until the subdivision grid of generation achieves the desired results, i.e. grid
Elemental area size and the grid uniformity meet the specific design requirement of moulding and technique, complete space lattice model triangulation.
Further, step (2) is described establishes Half-Edge half of data structure, the method is as follows:
Firstly, vertex in original mesh using tabular form as in grid side and face it is shared, the vertex list is denoted as
P；For any side a by two groups of half of descriptions, two one side of something are contrary and are respectively belonging to what a was connected in original mesh
Two adjacent mesh faces；
Secondly, the reference position of storage every half of starting point and terminal in vertex list P；Each one side of something is with tabular form
It is shared for the face in grid；Record each half of reference position in half of list in inside of arbitrary face in original mesh；For
Any one side of something in arbitrary face realizes the lookup to grid surface neighbor information by retrieval and its groups of another one side of something；
Finally, the vertex, one side of something, face mutual adduction relationship form Half-Edge half of data structure.
Further, step (4) the random scatter intelligent body in initial mesh model is by the more intelligence of Multi-Agent
Energy body algorithm is spread, which is that Computer Architectural generates design field algorithms most in use, records each intelligent body space coordinate
And place grid surface information, and judge that the setting radius of the intelligent body is interior with the presence or absence of other intelligent bodies, if it exists then
The repulsive force to be interacted by intelligent bodies all in range.
Further, realize intelligent body in the uniformly dispersing of initial mesh model grid surface after step (4) the n times iteration；
Method is as follows: according to mutually exclusive radius between the intelligent body of setting, other intelligent bodies in intelligent body pair radius generate mutual
The repulsion of effect, and moved along original mesh towards respective direction of repelling；Intelligent body exclusion movement is simultaneously by initial mesh mould
The limitation at type edge；By n times iteration, until without other intelligent bodies or any intelligence in the repulsion radius of all intelligent bodies
All directions repulsive force suffered by energy body keeps balance, and the mutually exclusive movement between intelligent body tends towards stability, i.e. realization intelligent body is first
The uniformly dispersing of beginning grid model grid surface.
Further, the step (4) carries out n times iteration by the way of loop iteration, realizes intelligent body in initial mesh
The uniformly dispersing in model meshes face；Method is as follows:
(4.1) i-th of intelligent body repel other intelligent bodies in radius to it and generate repulsion, and when i-th of intelligent body arrives
When grid Edge Distance is less than intelligent body repulsion radius, by grid edge to its repulsive force；Judge i-th of intelligent body whether by
Dynamic balance；If i-th of intelligent body stress balance, enters step (4.2)；If i-th of intelligent body force unbalance, enters step
(4.3)；
(4.2) newly-built space lattice node listing is added in i-th of intelligent body；Enter step (4.6)；
(4.3) i-th of intelligent body are along projecting direction of the resultant force on the corresponding network unit face of the intelligent body suffered by it
It is mobile, judge whether the intelligent body exceeds elemental area boundary；If exceeding, (4.4) are entered step；If without departing from entering step
(4.5)；
(4.4) elemental area that i-th of intelligent body will enter is inquired, and is projected on this plane, intelligent body is updated
Place grid surface information, return step (4.3)；
(4.5) intelligent body is updated by force information, then return step (4.1)；
(4.6) stress balance judgement is carried out to all intelligent bodies according to step (4.1)~(4.5), until by all intelligence
Newly-built space lattice node listing is added in body.
Further, new triangulation space is established using intelligent body space coordinate as referring to node in the step (5)
Grid；Method is as follows:
(5.1) it using intelligent body space coordinate as reference node, and is projected on corresponding grid surface, is passed through
Delaunay Triangulation algorithm is determined referring to the connection relationship between node；
(5.2) according to referring to node and its connection relationship, preliminary triangulation space lattice M is established；
(5.3) in space lattice M any triangular topological relations ABC and its adjacent triangular topological relations CBD, side BC be
The public side in two sides, point A, D are respectively the vertex opposite on face ABC and face CBD side BC, if side BC length is greater than A, D point-to-point transmission
Distance is then replaced with grid surface ABC and grid surface CBD respectively with the grid surface ABD and grid surface DCA when AD is public；
(5.4) step (5.3) are repeated up to the public edge lengths of the adjacent triangular topological relations of any two in space lattice
Distance between two vertex opposite no more than public side, resulting space lattice are new triangulation space lattice.
The utility model has the advantages that compared with prior art, technical solution of the present invention has technical effect beneficial below: the present invention
Provide a kind of space lattice model triangulation methodology of abnormal curved surface structures.The present invention may be implemented to newly-built grid
Model unit size and uniformity coefficient are accurately controlled, and are promoted the efficiency of correlation computer modeling work, are saved the time,
Newly-built grid can be adjusted in real time by the setting of parameters, operation is concise intuitive.
Detailed description of the invention
Fig. 1 is flow chart of the invention；
Fig. 2 is initial mesh model figure of the invention；
Fig. 3 is the initial mesh model figure of uniformly dispersing intelligent body of the invention；
Fig. 4 is the schematic diagram being adjusted in step 5 of the present invention to preliminary triangulation space lattice M；
Fig. 5 is that the present invention completes the grid model figure after space lattice model triangulation.
Specific embodiment
Further description of the technical solution of the present invention with reference to the accompanying drawings and examples.Obviously, described reality
Applying example is only a part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, this field is general
Logical technical staff every other embodiment obtained without making creative work belongs to what the present invention protected
Range.
Process of the embodiment of the present invention is as shown in Figure 1, a kind of space lattice model triangulation side of abnormal curved surface structures
Method includes the following steps:
(1) the original form design space grid model of abnormal curved surface structures is obtained；The abnormal curved surface structures packet
Include elevation of building, landscape structures；By handling original form design space grid model, with meet it is practical build and
Effect is built up to the specific requirements of grid cell size and the uniformity；
(2) the luv space grid model for needing again subdivision is inputted in a computer, is built according to luv space grid model
Vertical Half-Edge half of data structure unit information searching system；For recording and transferring luv space grid model elemental area
Neighbor information；The space lattice model recorded with adjacent surface information is determined as initial mesh model；Initial mesh model
As shown in Figure 2；
(3) gained creates grid node quantity and unit size target value after presetting subdivision according to actual design demand,
As the foundation for advanced optimizing mutually exclusive radius between intelligent body quantity and intelligent body；Be arranged intelligent body quantity initial value with
And repel radius initial value；The intelligent body refers to the individual cell that reciprocal effect can be generated with group environment, is by space
Computational entity made of point on grid surface is abstracted；
(4) according to grid node quantity preset in step (3) and unit size target value, in initial mesh model
Random scatter intelligent body, it is mutually exclusive and tend to disperse that intelligent body with it repels other intelligent bodies in radius, real after n times iteration
Existing intelligent body creates space lattice as shown in figure 3, all intelligent bodies are added in the uniformly dispersing of initial mesh model grid surface
Node listing；
(5) it according to space lattice node listing is created, using the intelligent body space coordinate of uniformly dispersing as referring to node, builds
Found new triangulation space lattice；
(6) when the subdivision grid that step (5) generate fails to achieve the desired results, between intelligent body quantity and intelligent body
Mutually exclusive radius is adjusted, and repeats step (4)~(5), until the subdivision grid of generation achieves the desired results, i.e. grid
Elemental area size and the grid uniformity meet the specific design requirement of moulding and technique, complete space lattice model triangulation,
As shown in Figure 5.
Step (2) is described to establish Half-Edge half of data structure, the method is as follows:
Firstly, vertex in original mesh using tabular form as in grid side and face it is shared, the vertex list is denoted as
P；For any side a by two groups of half of descriptions, two one side of something are contrary and are respectively belonging to what a was connected in original mesh
Two adjacent mesh faces；
Secondly, the reference position of storage every half of starting point and terminal in vertex list P；Each one side of something is with tabular form
It is shared for the face in grid；Record each half of reference position in half of list in inside of arbitrary face in original mesh；For
Any one side of something in arbitrary face realizes the lookup to grid surface neighbor information by retrieval and its groups of another one side of something；
Finally, the vertex, one side of something, face mutual adduction relationship form Half-Edge half of data structure.
Step (4) the random scatter intelligent body in initial mesh model is calculated by Multi-Agent multiple agent
What method was spread, which is that Computer Architectural generates design field algorithms most in use, records each intelligent body space coordinate and place
Grid surface information, and judge that the setting radius of the intelligent body is interior with the presence or absence of other intelligent bodies, if it exists then by model
Enclose the repulsive force of interior all intelligent body interactions.
Realize intelligent body in the uniformly dispersing of initial mesh model grid surface after step (4) the n times iteration；Method is such as
Under: according to mutually exclusive radius between the intelligent body of setting, other intelligent bodies in intelligent body pair radius generate interaction
Repulsion, and moved along original mesh towards respective direction of repelling；Intelligent body exclusion movement is simultaneously by initial mesh model edge
Limitation；By n times iteration, until without other intelligent bodies in the repulsion radius of all intelligent bodies, or any intelligent body institute
It is kept balancing by all directions repulsive force, the mutually exclusive movement between intelligent body tends towards stability, i.e. realization intelligent body is in initial mesh
The uniformly dispersing in model meshes face.
The step (4) carries out n times iteration by the way of loop iteration, realizes intelligent body in initial mesh model grid
The uniformly dispersing in face；Method is as follows:
(4.1) i-th of intelligent body repel other intelligent bodies in radius to it and generate repulsion, and when i-th of intelligent body arrives
When grid Edge Distance is less than intelligent body repulsion radius, by grid edge to its repulsive force；Judge i-th of intelligent body whether by
Dynamic balance；If i-th of intelligent body stress balance, enters step (4.2)；If i-th of intelligent body force unbalance, enters step
(4.3)；
(4.2) newly-built space lattice node listing is added in i-th of intelligent body；Enter step (4.6)；
(4.3) i-th of intelligent body are along projecting direction of the resultant force on the corresponding network unit face of the intelligent body suffered by it
It is mobile, judge whether the intelligent body exceeds elemental area boundary；If exceeding, (4.4) are entered step；If without departing from entering step
(4.5)；
(4.4) elemental area that i-th of intelligent body will enter is inquired, and is projected on this plane, intelligent body is updated
Place grid surface information, return step (4.3)；
(4.5) intelligent body is updated by force information, then return step (4.1)；
(4.6) stress balance judgement is carried out to all intelligent bodies according to step (4.1)~(4.5), until by all intelligence
Newly-built space lattice node listing is added in body.
Using intelligent body space coordinate as referring to node in the step (5), new triangulation space lattice is established；Side
Method is as follows:
(5.1) it using intelligent body space coordinate as reference node, and is projected on corresponding grid surface, is passed through
Delaunay Triangulation algorithm is determined referring to the connection relationship between node；
(5.2) according to referring to node and its connection relationship, preliminary triangulation space lattice M is established；
(5.3) for any triangular topological relations ABC and its adjacent triangular topological relations CBD in space lattice M, such as Fig. 4 institute
Show, when BC is that two sides is public, point A, D are respectively the vertex opposite on face ABC and face CBD side BC, if side BC length is greater than
A, D distance between two points are then replaced with grid surface ABC and grid surface CBD respectively with the grid surface ABD and net when AD is public
Lattice face DCA；
(5.4) step (5.3) are repeated up to the public edge lengths of the adjacent triangular topological relations of any two in space lattice
Distance between two vertex opposite no more than public side, resulting space lattice are new triangulation space lattice.
It is obvious to a person skilled in the art that invention is not limited to the details of the above exemplary embodiments, Er Qie
In the case where without departing substantially from spirit or essential attributes of the invention, the present invention can be realized in other specific forms.Therefore, no matter
From the point of view of which point, the present embodiments are to be considered as illustrative and not restrictive, and the scope of the present invention is by appended power
Benefit requires rather than above description limits, it is intended that all by what is fallen within the meaning and scope of the equivalent elements of the claims
Variation is included within the present invention.Any reference signs in the claims should not be construed as limiting the involved claims.
In addition, it should be understood that although this specification is described in terms of embodiments, but not each embodiment is only wrapped
Containing an independent technical solution, this description of the specification is merely for the sake of clarity, and those skilled in the art should
It considers the specification as a whole, the technical solutions in the various embodiments may also be suitably combined, forms those skilled in the art
The other embodiments being understood that.
Claims (6)
1. a kind of space lattice model triangulation methodology of abnormal curved surface structures, it is characterised in that: this method includes as follows
Step:
(1) the original form design space grid model of abnormal curved surface structures is obtained；The abnormal curved surface structures include building
Build facade, landscape structures；By handling original form design space grid model, actually builds and build up to meet
Specific requirements of the effect to grid cell size and the uniformity；
(2) the luv space grid model for needing again subdivision is inputted in a computer, is established according to luv space grid model
Half-Edge half of data structure unit information searching system；For recording and transferring luv space grid model elemental area
Neighbor information；The space lattice model recorded with adjacent surface information is determined as initial mesh model；
(3) gained creates grid node quantity and unit size target value after presetting subdivision according to actual design demand, as
Advanced optimize the foundation of mutually exclusive radius between intelligent body quantity and intelligent body；Intelligent body quantity initial value and row are set
Denounce radius initial value；
(4) random in initial mesh model according to grid node quantity preset in step (3) and unit size target value
Spread intelligent body, it is mutually exclusive and tend to disperse that intelligent body with it repels other intelligent bodies in radius, realizes intelligence after n times iteration
In the uniformly dispersing of initial mesh model grid surface newly-built space lattice node listing is added in all intelligent bodies by energy body；
(5) it according to space lattice node listing is created, using the intelligent body space coordinate of uniformly dispersing as referring to node, establishes new
Triangulation space lattice；
(6) when the subdivision grid that step (5) generate fails to achieve the desired results, to mutual between intelligent body quantity and intelligent body
Repel radius to be adjusted, and repeats step (4)~(5), until the subdivision grid of generation achieves the desired results, i.e. grid cell
Face size and the grid uniformity meet the specific design requirement of moulding and technique, complete space lattice model triangulation.
2. a kind of space lattice model triangulation methodology of abnormal curved surface structures according to claim 1, feature
Be: step (2) is described to establish Half-Edge half of data structure, the method is as follows:
Firstly, vertex in original mesh using tabular form as in grid side and face it is shared, the vertex list is denoted as P；It is former
For any side a by two groups of half of descriptions, two one side of something are contrary and are respectively belonging to two that a is connected in beginning grid
Adjacent mesh face；
Secondly, the reference position of storage every half of starting point and terminal in vertex list P；Each one side of something is using tabular form as net
Face in lattice is shared；Record each half of reference position in half of list in inside of arbitrary face in original mesh；For any
Any one side of something in face realizes the lookup to grid surface neighbor information by retrieval and its groups of another one side of something；
Finally, the vertex, one side of something, face mutual adduction relationship form Half-Edge half of data structure.
3. a kind of space lattice model triangulation methodology of abnormal curved surface structures according to claim 1, feature
Be: step (4) the random scatter intelligent body in initial mesh model is dissipated by Multi-Agent multi-agent algorithm
Cloth, which records each intelligent body space coordinate and place grid surface information, and judges the setting radius of the intelligent body
It whether there is other intelligent bodies in range, the repulsive force then to be interacted if it exists by intelligent bodies all in range.
4. a kind of space lattice model triangulation methodology of abnormal curved surface structures according to claim 3, feature
It is: realizes intelligent body in the uniformly dispersing of initial mesh model grid surface after step (4) the n times iteration；Method is as follows: according to
According to radius mutually exclusive between the intelligent body of setting, other intelligent bodies in intelligent body pair radius generate the repulsion of interaction,
And it is moved along original mesh towards respective direction of repelling；Intelligent body exclusion movement limit by initial mesh model edge simultaneously
System；By n times iteration, until without other intelligent bodies in the repulsion radius of all intelligent bodies, or suffered by any intelligent body respectively
Direction repulsive force keeps balance, and the mutually exclusive movement between intelligent body tends towards stability, i.e. realization intelligent body is in initial mesh model
The uniformly dispersing of grid surface.
5. according to a kind of space lattice model triangulation methodology of any abnormal curved surface structures of claim 4,
Be characterized in that: the step (4) carries out n times iteration by the way of loop iteration, realizes intelligent body in initial mesh model net
The uniformly dispersing in lattice face；Method is as follows:
(4.1) i-th of intelligent body repel other intelligent bodies in radius to it and generate repulsion, and when i-th of intelligent body to grid
When Edge Distance is less than intelligent body repulsion radius, by grid edge to its repulsive force；Judging i-th of intelligent body, whether stress is flat
Weighing apparatus；If i-th of intelligent body stress balance, enters step (4.2)；If i-th of intelligent body force unbalance, enters step (4.3)；
(4.2) newly-built space lattice node listing is added in i-th of intelligent body；Enter step (4.6)；
(4.3) i-th of intelligent body are moved along projecting direction of the resultant force on the corresponding network unit face of the intelligent body suffered by it,
Judge whether the intelligent body exceeds elemental area boundary；If exceeding, (4.4) are entered step；If without departing from (4.5) are entered step；
(4.4) elemental area that i-th of intelligent body will enter is inquired, and is projected on this plane, intelligent body place is updated
Grid surface information, return step (4.3)；
(4.5) intelligent body is updated by force information, then return step (4.1)；
(4.6) stress balance judgement is carried out to all intelligent bodies according to step (4.1)~(4.5), added until by all intelligent bodies
Enter newly-built space lattice node listing.
6. a kind of space lattice model triangulation methodology of abnormal curved surface structures according to claim 1 to 4,
It is characterized by: establishing new triangulation space networks using intelligent body space coordinate as referring to node in the step (5)
Lattice；Method is as follows:
(5.1) it using intelligent body space coordinate as reference node, and is projected on corresponding grid surface, passes through Delaunay tri-
Angle subdivision algorithm is determined referring to the connection relationship between node；
(5.2) according to referring to node and its connection relationship, preliminary triangulation space lattice M is established；
(5.3) in space lattice M any triangular topological relations ABC and its adjacent triangular topological relations CBD, side BC be two sides
Public side, point A, D are respectively the vertex opposite on face ABC and face CBD side BC, if side BC length is greater than A, D distance between two points,
Then grid surface ABC and grid surface CBD are replaced with respectively with the grid surface ABD and grid surface DCA when AD is public；
(5.4) step (5.3) are repeated until the public edge lengths of the adjacent triangular topological relations of any two are little in space lattice
The distance between two opposite vertex of public side, resulting space lattice are new triangulation space lattice.
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| CN113591260A (en) * | 2021-08-19 | 2021-11-02 | 上海电机***节能工程技术研究中心有限公司 | Method and device for generating grid model of motor electromagnetic field and electronic equipment |
| CN113591260B (en) * | 2021-08-19 | 2023-09-05 | 上海电机***节能工程技术研究中心有限公司 | Method and device for generating electromagnetic field grid model of motor and electronic equipment |
| CN117315196A (en) * | 2023-10-08 | 2023-12-29 | 广州中望龙腾软件股份有限公司 | Model construction method, device, equipment and storage medium |
| CN117315196B (en) * | 2023-10-08 | 2024-06-11 | 广州中望龙腾软件股份有限公司 | Model construction method, device, equipment and storage medium |
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