CN110095105B - Four-point coplanarity detection method based on non-contact building measurement - Google Patents
Four-point coplanarity detection method based on non-contact building measurement Download PDFInfo
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Abstract
The invention belongs to the technical field of building measurement, and discloses a four-point coplane detection method based on non-contact building measurement, which comprises the following steps: 1) four building measured points are determined, 2) a first measured point D1 is measured, 3) a second measured point D2 is measured, 4) a third measured point D3 is measured, 5) a fourth measured point D4 is measured, and 6) whether the four measured points D1, D2, D3 and D4 are on the same plane or not is judged. By non-contact measurement of relevant parameters of four points of the measured surface, whether the four points of the measured surface are on one plane or not is quickly and accurately calculated.
Description
Technical Field
The invention belongs to the technical field of building measurement, and particularly relates to a four-point coplane detection method based on non-contact building measurement.
Background
In the field of construction engineering, in order to detect the quality of building components, a large amount of detection work for judging whether a detected object is flat is involved, and for large building components, direct contact measurement is often difficult. Flatness measuring devices in the existing market mainly adopt measuring devices such as a straight ruler, a feeler gauge, a running rule and a total station.
The existing detection method for judging whether the measured object is flat has various disadvantages, some methods need to approach the measured object to carry out contact type direct measurement, and for the measured object with high size, the problems of difficult direct contact type measurement or high measurement cost exist, and the measurement error is large. Some methods can realize non-contact measurement, but have the problems of complex measuring device, high requirement on measuring conditions, large error of measured data, complex detection calculation and the like.
Disclosure of Invention
The invention aims to solve the problems in the prior art, and provides a four-point coplane detection method based on non-contact building measurement.
In order to achieve the purpose, the technical scheme of the invention is as follows:
a four-point coplanarity detection method based on non-contact building measurement is characterized by comprising the following steps:
1) the four measured points are determined and marked as a first measured point D1, a second measured point D2, a third measured point D3 and a fourth measured point D4 from left to right according to the spatial relationship of the measured points;
2) measuring a first measured point D1, measuring a distance L1 between a measuring point O and a first measured point D1, measuring an included angle a1 between a connecting line O-D1 of the measuring point O and a first measured point D1 and a horizontal plane, and finishing the measurement of a first measured point D1;
3) measuring a second measured point D2, measuring a distance L2 between a measuring point O and a second measured point D2, measuring an included angle a2 between a connecting line O-D2 of the measuring point O and a second measured point D2 and a horizontal plane, measuring an included angle b12 between a horizontal projection line of the connecting line O-D1 and a horizontal projection line of a connecting line O-D1, and finishing the measurement of a second measured point D2;
4) measuring a distance L3 between the measuring point O and the third measured point D3, an included angle a3 between a connecting line O-D3 of the measuring point O and the third measured point D3 and a horizontal plane, an included angle b23 between a horizontal projection line of the connecting line O-D2 and a horizontal projection line of the connecting line O-D3, and finishing the measurement of the third measured point D3;
5) and measuring a distance L4 between the measuring point O and the fourth measured point D4, measuring an included angle a4 between a connecting line O-D4 of the measuring point O and the third measured point D4 and a horizontal plane, measuring an included angle b34 between a horizontal projection line of the connecting line O-D3 and a horizontal projection line of the connecting line O-D4, and finishing the measurement of the fourth measured point D4.
6) And judging whether the four detected points D1, D2, D3 and D4 are on the same plane.
Preferably, step 6, according to the calculation formula: x1 ═ 0
Y1＝L1*cos(a1)，Z1＝L1*sin(a1)，
X2＝L2*cos(a1)*sin(b12)，
Y2＝L2*cos(a1)*cos(b12)，Z2＝L2*sin(a2)，
X3＝L3*cos(a3)*sin(b12+b23)，Y3＝L3*cos(a3)*cos(b12+b23)，
Z3＝L3*sin(a3)，
X4＝L4*cos(a4)*sin(b12+b23+b34)，Y4＝L4*cos(a4)*cos(b12+b23+b34)，
Z4＝L4*sin(a4)，
A1＝X2-X1，A2＝Y2-Y1，A3＝Z2-Z1，
B1＝X3-X2，B2＝Y3-Y2，B3＝Z3-Z2，
C1＝X4-X3，C2＝Y4-Y3，C3＝Z4-Z3，
And TT-1/6 ABS (A1B 2C 3+ B1C 2A 3+ C1A 2B 3-C1B 2A 3-B1A 2C 3-A1C 2B 3), and judging whether the four measured points D1, D2, D3 and D4 are in the same plane.
Preferably, if TT is 0, then the measured points D1, D2, D3 and D4 are on the same plane.
Preferably, according to the above method, if TT is not zero, it is determined that the measured points D1, D2, D3 and D4 are not on the same plane, and are consistent with the conclusion of the spatial relationship of the four measured points of the actual measured object.
Compared with the prior art, the invention has the beneficial effects that:
the measuring method can realize the non-contact measuring function; the invention can finish the detection work of judging whether the measured points are on the same plane. The work of detecting whether the measured object is a plane can be finished by a non-contact measuring method. Whether the measured points are on the same plane can be quickly concluded in the building measurement.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments consistent with the invention and together with the description, serve to explain the principles of the invention.
FIG. 1 is a schematic diagram of a four-point coplanarity detection method for non-contact building measurement according to the present invention.
FIG. 2 is a schematic view of the measurement of a first measured point by the four-point coplanarity detection method for non-contact building measurement according to the present invention.
FIG. 3 is a schematic view of the measurement of a second measured point by the four-point coplanarity detection method for non-contact building measurement according to the present invention.
FIG. 4 is a schematic view of the measurement of a third measured point by the four-point coplanar detection method for non-contact building measurement according to the present invention.
FIG. 5 is a schematic view of the measurement of a fourth measured point by the four-point coplanar detection method for non-contact building measurement according to the present invention.
Detailed Description
The technical solution in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings.
As shown in fig. 1 to 5, the four-point coplanarity detection method for non-contact building measurement according to the present invention selects one surface of a certain building for measurement, and includes the following steps:
1) the four measured points are determined and marked as a first measured point D1, a second measured point D2, a third measured point D3 and a fourth measured point D4 from left to right according to the spatial relationship of the measured points;
2) and (3) measuring the first measured point D1, wherein the distance L1 between the measuring point O and the first measured point D1 is 30m, the included angle a1 between the connecting line O-D1 of the measuring point O and the first measured point D1 and the horizontal plane is 50 degrees, and the measurement of the first measured point D1 is finished.
3) And measuring the second measured point D2, wherein the distance L2 between the measuring point O and the second measured point D2 is 31m, the included angle a2 between the connecting line O-D2 of the measuring point O and the second measured point D2 and the horizontal plane is 34 degrees, the included angle b12 between the horizontal projection line of the measuring connecting line O-D1 and the horizontal projection line of the connecting line O-D1 is 30 degrees, and the measurement of the second measured point D2 is finished.
4) And (3) measuring the third measured point D3, wherein the distance L3 between the measuring point O and the third measured point D3 is 35m, the included angle a3 between the connecting line O-D3 of the measuring point O and the third measured point D3 and the horizontal plane is 35 degrees, the included angle b23 between the horizontal projection line of the measuring connecting line O-D2 and the horizontal projection line of the connecting line O-D3 is 15 degrees, and the measurement of the third measured point D3 is finished.
5) And (3) measuring the fourth measured point D4, wherein the distance L4 between the measuring point O and the fourth measured point D4 is 41m, the included angle a4 between the connecting line O-D4 of the measuring point O and the third measured point D4 and the horizontal plane is 52 degrees, the included angle b34 between the horizontal projection line of the measuring connecting line O-D3 and the horizontal projection line of the connecting line O-D4 is 15 degrees, and the measurement of the fourth measured point D4 is finished.
6) And judging whether the measured points D1, D2, D3 and D4 are on the same plane.
Step 6, according to a calculation formula: x1 ═ 0
Y1＝L1*cos(a1)＝22.981m
Z1＝L1*sin(a1)＝19.284m
X2＝L2*cos(a1)*sin(b12)＝12.850m
Y2＝L2*cos(a1)*cos(b12)＝17.335m
Z2＝L2*sin(a2)＝22.257m
X3＝L3*cos(a3)*sin(b12+b23)＝20.273m
Y3＝L3*cos(a3)*cos(b12+b23)＝20.075m
Z3＝L3*sin(a3)＝20.273m
X4＝L4*cos(a4)*sin(b12+b23+b34)＝21.860m
Y4＝L4*cos(a4)*cos(b12+b23+b34)＝32.308m
Z4＝L4*sin(a4)＝12.621m
A1＝X2-X1＝12.850m
A2＝Y2-Y1＝-5.646m
A3＝Z2-Z1＝2.973m
B1＝X3-X2＝20.273m
B2＝Y3-Y2＝-2.906m
B3＝Z3-Z2＝0.989m
C1＝X4-X3＝21.860m
C2＝Y4-Y3＝9.327m
C3＝Z4-Z3＝-6.663m
TT＝1/6*ABS(A1*B2*C3+B1*C2*A3+C1*A2*B3-C1*B2*A3-B1*A2*C3-A1*C2*B3)＝0.569。
If TT is 0, the measured points D1, D2, D3 and D4 are on the same plane. According to the method, if TT is not equal to zero, the measured points D1, D2, D3 and D4 are judged not to be on the same plane and are consistent with the conclusion of the spatial relationship of the four measured points of the actual measured object.
The embodiments described above are only a part of the embodiments of the present invention, and not all of them. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Claims (2)
1. A four-point coplanarity detection method based on non-contact building measurement is characterized by comprising the following steps:
1) determining four building measured points, and respectively marking the four building measured points as a first measured point D1, a second measured point D2, a third measured point D3 and a fourth measured point D4 from left to right according to the spatial relationship of the measured points;
2) measuring a first measured point D1, measuring a distance L1 between a measuring point O and a first measured point D1, measuring an included angle a1 between a connecting line O-D1 of the measuring point O and a first measured point D1 and a horizontal plane, and finishing the measurement of a first measured point D1;
3) measuring a second measured point D2, measuring a distance L2 between a measuring point O and a second measured point D2, measuring an included angle a2 between a connecting line O-D2 of the measuring point O and a second measured point D2 and a horizontal plane, measuring an included angle b12 between a horizontal projection line of the connecting line O-D1 and a horizontal projection line of a connecting line O-D1, and finishing the measurement of a second measured point D2;
4) measuring a distance L3 between the measuring point O and the third measured point D3, an included angle a3 between a connecting line O-D3 of the measuring point O and the third measured point D3 and a horizontal plane, an included angle b23 between a horizontal projection line of the connecting line O-D2 and a horizontal projection line of the connecting line O-D3, and finishing the measurement of the third measured point D3;
5) measuring a distance L4 between the measuring point O and the fourth measured point D4, an included angle a4 between a connecting line O-D4 of the measuring point O and the third measured point D4 and a horizontal plane, an included angle b34 between a horizontal projection line of the connecting line O-D3 and a horizontal projection line of the connecting line O-D4, and finishing the measurement of the fourth measured point D4;
6) judging whether the four measured points D1, D2, D3 and D4 are on the same plane:
Y1=L1*cos(a1)，Z1=L1*sin(a1)，
X2=L2*cos(a1)*sin(b12)，
Y2=L2*cos(a1)*cos(b12)，Z2=L2*sin(a2)，
X3=L3*cos(a3)*sin(b12+b23)，Y3=L3*cos(a3)*cos(b12+b23)，
Z3=L3*sin(a3)，
X4=L4*cos(a4)*sin(b12+b23+b34)，Y4=L4*cos(a4)*cos(b12+b23+b34)，
Z4=L4*sin(a4)，
A1=X2-X1，A2=Y2-Y1，A3=Z2-Z1，
B1=X3-X2，B2=Y3-Y2，B3=Z3-Z2，
C1=X4-X3，C2=Y4-Y3，C3=Z4-Z3，
TT =1/6 ABS (a1 × B2 × C3+ B1 × C2 × A3+ C1 × a2 × B3-C1 × B2 A3-B1 × a2 × C3-a1 × C2 × B3), judging whether the four measured points D1, D2, D3, and D4 are on the same plane;
when TT is 0, the measured points D1, D2, D3 and D4 are on the same plane.
2. The four-point coplanarity inspection method based on non-contact building measurement as claimed in claim 1, characterized in that when TT is not zero, it is determined that the measured points D1, D2, D3 and D4 are not on the same plane, and are consistent with the conclusions of the spatial relationship of the four measured points of the actual building object.
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