CN104851096A - Method for rapidly judging position relation between point and polygon in GIS application - Google Patents
Method for rapidly judging position relation between point and polygon in GIS application Download PDFInfo
- Publication number
- CN104851096A CN104851096A CN201510255047.7A CN201510255047A CN104851096A CN 104851096 A CN104851096 A CN 104851096A CN 201510255047 A CN201510255047 A CN 201510255047A CN 104851096 A CN104851096 A CN 104851096A
- Authority
- CN
- China
- Prior art keywords
- point
- rotation angle
- polygon
- polygonal
- position relation
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 238000000034 method Methods 0.000 title claims abstract description 59
- 238000012216 screening Methods 0.000 claims abstract description 4
- 239000013598 vector Substances 0.000 claims description 30
- 238000004364 calculation method Methods 0.000 abstract description 2
- MFYFNUKUXIRYFV-JSGCOSHPSA-N Polygonone Natural products O=CC=1C(=O)C[C@H]2C(C)(C)CCC[C@@]2(C)C=1 MFYFNUKUXIRYFV-JSGCOSHPSA-N 0.000 abstract 1
- 238000010586 diagram Methods 0.000 description 3
- 238000001914 filtration Methods 0.000 description 3
- 238000006243 chemical reaction Methods 0.000 description 2
- 238000012098 association analyses Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000010295 mobile communication Methods 0.000 description 1
- 230000000149 penetrating effect Effects 0.000 description 1
- 230000000007 visual effect Effects 0.000 description 1
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T7/00—Image analysis
- G06T7/70—Determining position or orientation of objects or cameras
- G06T7/73—Determining position or orientation of objects or cameras using feature-based methods
Landscapes
- Engineering & Computer Science (AREA)
- Computer Vision & Pattern Recognition (AREA)
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Processing Or Creating Images (AREA)
Abstract
The invention discloses a method for rapidly judging the position relation between points and polygons in GIS application, which comprises the following concrete implementation processes: acquiring all points to be judged; solving a minimum bounding rectangle of the polygon; screening all points to be judged out of the polygonal minimum bounding rectangle in batch; and judging the points in or on the minimum bounding rectangle of the polygon one by adopting a look-around method until all the points are judged. Compared with the prior art, the method for rapidly judging the position relation between the point and the polygon in the GIS application can rapidly filter out points which are not in the polygon, reduces the range of the points to be judged, greatly reduces the calculation time, avoids the complex processing of the traditional ray method on the boundary condition, and is strong in practicability and easy to popularize.
Description
Technical field
The present invention relates in Distribution GIS application, identify fast the computing method of map enclosing the network element entity in the arbitrary polygon of choosing, specifically a kind of method of decision-point and Polygon position relation fast in practical, GIS application.
Background technology
In GIS application, the geographic distribution situation of mobile communication equipment network element (such as base station, community etc.) can be checked intuitively.When occurring that certain region speech quality difference causes alarm or fault, service engineer can navigate to this region on GIS, a polygonal region is selected in doubling-up, and then by gathering the community index in this region, association analysis, finally navigate to community and the failure cause of concrete fault.This is that operator is concerned about and urgent use scenes very much.And to solve this kind of problem most basic be exactly want judging point and polygonal position relationship.If the community in polygon accurately and fast can not be identified, service engineer's localizing faults will be affected and even do the decision-making made mistake.The built-in function PtInRegion of the Visual C++ that Microsoft company provides can roughly realize this function, but PtInRegion not always reliably returns correct result, particularly when the point that will judge is positioned at polygonal border.Rays method in computational geometry, namely from treating that judging point sends a ray in the horizontal direction to the right, the number of times (parity) according to penetrating Intersecting of line and polygon judges, but it is difficult to process border, summit and the special circumstances such as border and ray conllinear.Based on this, a kind of method of quick decision-point and Polygon position relation in now providing GIS to apply.
Summary of the invention
Technical assignment of the present invention is for above weak point, provides the method for decision-point and Polygon position relation fast in a kind of practical, GIS application.
A method for quick decision-point and Polygon position relation in GIS application, its specific implementation process is:
Obtain the judging point that needs;
Ask for polygonal minimum area-encasing rectangle;
The judging point that needs outside the minimum area-encasing rectangle of polygon is fallen in batch screening;
Method of looking about is adopted to judge one by one the point within the minimum area-encasing rectangle of polygon or on limit, until all points all judge complete.
The acquisition process of described polygonal minimum area-encasing rectangle is:
According to polygonal all summits, calculate the minimum value of the minimum value of the horizontal coordinate of this polygon vertex, maximal value and longitudinal coordinate, maximal value, and by point (level minimums, longitudinal minimum value) and point (horizontal maximum, longitudinal maximal value) as the southwest corner of minimum area-encasing rectangle and northeast corner.
Described method of looking about judges to refer to that all rotation angle, relative to treating the directive rotation angle that judging point is formed, are then added judging points and polygonal relation by every two adjacent vertexs of acquisition counterclockwise.
Described directive rotation angle is calculated by inner product of vectors and Outer Product of Vectors.
The computation process of described rotation angle is: from any one summit polygonal, according to counterclockwise looking about one week, calculate in conjunction with inner product of vectors and Outer Product of Vectors and forward adjacent vertex b to relative to treating directive rotation angle formed by judging point p from initial vertex a, the like, until again go back to initial vertex a, statistics rotation angle sum, according to rotation angle sum judging point and polygonal relation.
Described rotation angle sum judging point and polygonal relation refer to: when rotation angle sum is 360 °, then put in polygon; When rotation angle sum is 0 °, then put outside polygon.
The detailed process that described rotation angle sum judges is:
By inner product of vectors be:
, obtain the size of rotation angle θ; Pass through Outer Product of Vectors
, obtain the direction of rotation angle θ; When
time, point to be judged is positioned at polygonal inside; When
time, then point to be judged is positioned at polygonal outside.
The method of quick decision-point and Polygon position relation in a kind of GIS application of the present invention, has the following advantages:
The method of decision-point and Polygon position relation fast in a kind of GIS application that the present invention proposes, can fast and accurately judging point and polygonal position relationship.Fall the point outside polygon by polygonal minimum area-encasing rectangle fast filtering, the position relationship of judging point and rectangle is very simply and fast; The method of looking about method judging point and Polygon position relation is very accurately and comprehensively, and without the need to doing too much complicated process to special circumstances such as border, summit, extended lines; Point not in polygon can be fallen by fast filtering, reduce the scope treating judging point, greatly reduce computing time, avoid the loaded down with trivial details process of traditional radiographic method for border condition, practical, be easy to promote.
Accompanying drawing explanation
Accompanying drawing 1 is processing flow chart of the present invention.
Accompanying drawing 2 is key diagrams of the minimum area-encasing rectangle of polygon.
Accompanying drawing 3 puts when polygonal internal with the key diagram of looking about method calculating rotation angle.
Accompanying drawing 4 puts when outside of polygon with the key diagram of looking about method calculating rotation angle.
Embodiment
Below in conjunction with the drawings and specific embodiments, the invention will be further described.
The invention provides a kind of GIS apply in the method for fast decision-point and Polygon position relation, by the minimum area-encasing rectangle of polygon, adopt and look about method and in conjunction with inner product of vectors, Outer Product of Vectors, fast also judging point and polygonal position relationship accurately.
As shown in Figure 1, its specific implementation process is,
Obtain the judging point that needs;
Ask for polygonal minimum area-encasing rectangle;
The judging point that needs outside the minimum area-encasing rectangle of polygon is fallen in batch screening;
Method of looking about is adopted to judge one by one the point within the minimum area-encasing rectangle of polygon or on limit, until all points all judge complete.
The acquisition process of described polygonal minimum area-encasing rectangle is:
According to polygonal all summits, calculate the minimum value of the minimum value of the horizontal coordinate of this polygon vertex, maximal value and longitudinal coordinate, maximal value, be designated as respectively
, and by point (level minimums, longitudinal minimum value) and point (horizontal maximum, longitudinal maximal value), namely
with
as southwest corner and the northeast corner of minimum area-encasing rectangle.
If treat, judging point P point is outside minimum area-encasing rectangle, inevitable outside polygon; If treat, judging point P point is within minimum area-encasing rectangle or on limit, then need further judgement.This judgement adopts and looks about method.
Described method of looking about judges to refer to that all rotation angle, relative to treating the directive rotation angle that judging point is formed, are then added judging points and polygonal relation by every two adjacent vertexs of acquisition counterclockwise.
Described directive rotation angle is calculated by inner product of vectors and Outer Product of Vectors.
The computation process of described rotation angle is: from any one summit polygonal, according to counterclockwise looking about one week, calculate in conjunction with inner product of vectors and Outer Product of Vectors and forward adjacent vertex b to relative to treating directive rotation angle formed by judging point p from initial vertex a, the like, until again go back to initial vertex a, statistics rotation angle sum, according to rotation angle sum judging point and polygonal relation.
Described rotation angle sum judging point and polygonal relation refer to: when rotation angle sum is 360 °, then put in polygon; When rotation angle sum is 0 °, then put outside polygon.
The detailed process that described rotation angle sum judges is:
By inner product of vectors be:
, obtain the size of rotation angle θ; Pass through Outer Product of Vectors
, obtain the direction of rotation angle θ; When
time, point to be judged is positioned at polygonal inside; When
time, then point to be judged is positioned at polygonal outside.
In addition, also there are following several special circumstances: when being positioned on summit, vector field homoemorphism is 0; When to be positioned on a limit but be not summit time, inner product of vectors is-1; When on the extended line being positioned at a limit, inner product of vectors is 1.
Embodiment: time below to select the network element in certain geographic range with polygon circle in GIS map, be example with the network element in method identification polygon of the present invention.Network element on map has the Fundamental Geographic Information System of longitude, dimension, in the prerequisite of being undertaken judging by method of the present invention is, by Gauss projection coordinate conversion, latitude and longitude coordinates is converted to the coordinate of plane right-angle coordinate.Network element is used at the coordinate after Gauss projection coordinate conversion
represent, as
etc..
Accompanying drawing 2 pairs of minimum area-encasing rectangles of polygon are illustrated.Polygon vertex is numbered by anticlockwise order, obtains polygon vertex sequence:
.Calculate the minimum value of X-coordinate in polygon vertex coordinate sequence
, X-coordinate maximal value
, Y-coordinate minimum value
, Y-coordinate maximal value
, obtain a little
and point
, using its southwest corner as the minimum area-encasing rectangle of polygon and northeast corner.
Fall with the mode fast filtering of batch processing and treat judging point outside the minimum area-encasing rectangle of polygon, namely X-coordinate is less than
or X-coordinate is greater than
, or Y-coordinate is less than
or Y-coordinate is greater than
point.
For the point within the minimum area-encasing rectangle of polygon or on limit, method of looking about is adopted to judge one by one.
Accompanying drawing 3 describes when calculating the explanation of rotation angle with looking about method when judging point is positioned at polygonal internal.Summit B is forwarded counterclockwise to, relative to treating that formed by judging point P, rotation angle is from summit A
; Summit C is forwarded counterclockwise to, relative to treating that formed by judging point P, rotation angle is from summit B
; The like, until ought again rotate back into summit A.Being rotated counterclockwise the rotation angle sum obtained for a week is 360 °.
Accompanying drawing 4 describes when calculating the explanation of rotation angle with looking about method when judging point is positioned at outside of polygon.Summit B is forwarded counterclockwise to, relative to treating that formed by judging point P, rotation angle is from summit A
; Summit C is forwarded counterclockwise to, relative to treating that formed by judging point P, rotation angle is from summit B
; The like, until ought again rotate back into summit A.But it should be noted that forward summit D to relative to treating that formed by judging point P, rotation angle is negative from summit C.When again rotating back into summit A, the rotation angle sum of all forwards is offset with the rotation angle forwarding the negative sense of summit D from summit C to.Therefore, being rotated counterclockwise the rotation angle sum obtained for a week is 0 °.
Pass through inner product of vectors
calculate angle theta formed by two vectors, scope exists
, the angle calculated is nondirectional.Then Outer Product of Vectors is passed through
calculate the direction of angle theta, namely positive and negative.Sum Outer Product of Vectors in resultant vector, obtains being rotated counterclockwise a B relative to directive rotation angle formed by a P from an A.
Above-mentioned embodiment is only concrete case of the present invention; scope of patent protection of the present invention includes but not limited to above-mentioned embodiment; in any a kind of GIS application according to the invention fast the method for decision-point and Polygon position relation claims and the those of ordinary skill of any described technical field to its suitable change done or replacement, all should fall into scope of patent protection of the present invention.
Claims (9)
1. a method for GIS quick decision-point and Polygon position relation in applying, it is characterized in that, its specific implementation process is:
Obtain the judging point that needs;
Ask for polygonal minimum area-encasing rectangle;
The judging point that needs outside the minimum area-encasing rectangle of polygon is fallen in batch screening;
Method of looking about is adopted to judge one by one the point within the minimum area-encasing rectangle of polygon or on limit, until all points all judge complete.
2. the method for a kind of GIS according to claim 1 quick decision-point and Polygon position relation in applying, it is characterized in that, the acquisition process of described polygonal minimum area-encasing rectangle is:
According to polygonal all summits, calculate the minimum value of the minimum value of the horizontal coordinate of this polygon vertex, maximal value and longitudinal coordinate, maximal value, and by point (level minimums, longitudinal minimum value) and point (horizontal maximum, longitudinal maximal value) as the southwest corner of minimum area-encasing rectangle and northeast corner.
3. the method for a kind of GIS according to claim 1 and 2 quick decision-point and Polygon position relation in applying, it is characterized in that, described method of looking about judges to refer to that all rotation angle, relative to treating the directive rotation angle that judging point is formed, are then added judging points and polygonal relation by every two adjacent vertexs of acquisition counterclockwise.
4. the method for a kind of GIS according to claim 3 quick decision-point and Polygon position relation in applying, it is characterized in that, described directive rotation angle is calculated by inner product of vectors and Outer Product of Vectors.
5. the method for a kind of GIS according to claim 4 quick decision-point and Polygon position relation in applying, it is characterized in that, the computation process of described rotation angle is: from any one summit polygonal, according to counterclockwise looking about one week, calculate in conjunction with inner product of vectors and Outer Product of Vectors and forward adjacent vertex b to relative to treating directive rotation angle formed by judging point p from initial vertex a, the like, until again go back to initial vertex a, statistics rotation angle sum, according to rotation angle sum judging point and polygonal relation.
6. the method for a kind of GIS according to claim 3 quick decision-point and Polygon position relation in applying, it is characterized in that, described rotation angle sum judging point and polygonal relation refer to: when rotation angle sum is 360 °, then put in polygon; When rotation angle sum is 0 °, then put outside polygon.
7. the method for a kind of GIS according to claim 6 quick decision-point and Polygon position relation in applying, it is characterized in that, the detailed process that described rotation angle sum judges is:
By inner product of vectors be:
, obtain the size of rotation angle θ; Pass through Outer Product of Vectors
, obtain the direction of rotation angle θ; When
time, point to be judged is positioned at polygonal inside; When
time, then point to be judged is positioned at polygonal outside.
8. the method for a kind of GIS according to claim 5 quick decision-point and Polygon position relation in applying, it is characterized in that, described rotation angle sum judging point and polygonal relation refer to: when rotation angle sum is 360 °, then put in polygon; When rotation angle sum is 0 °, then put outside polygon.
9. the method for a kind of GIS according to claim 8 quick decision-point and Polygon position relation in applying, it is characterized in that, the detailed process that described rotation angle sum judges is:
By inner product of vectors be:
, obtain the size of rotation angle θ; Pass through Outer Product of Vectors
, obtain the direction of rotation angle θ; When
time, point to be judged is positioned at polygonal inside; When
time, then point to be judged is positioned at polygonal outside.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510255047.7A CN104851096A (en) | 2015-05-19 | 2015-05-19 | Method for rapidly judging position relation between point and polygon in GIS application |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510255047.7A CN104851096A (en) | 2015-05-19 | 2015-05-19 | Method for rapidly judging position relation between point and polygon in GIS application |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN104851096A true CN104851096A (en) | 2015-08-19 |
Family
ID=53850723
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201510255047.7A Pending CN104851096A (en) | 2015-05-19 | 2015-05-19 | Method for rapidly judging position relation between point and polygon in GIS application |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN104851096A (en) |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105869188A (en) * | 2016-04-22 | 2016-08-17 | 广州日滨科技发展有限公司 | Detection method and system for point to polygon position relation |
| CN106982439A (en) * | 2017-03-28 | 2017-07-25 | 中国地质大学（武汉） | One kind seeks poor confirmation method for many satellite sensor earth observation overlay areas |
| WO2020019509A1 (en) * | 2018-07-26 | 2020-01-30 | 平安科技（深圳）有限公司 | Method and device for positioning and detecting robot, and computer-readable storage medium |
| CN112509031A (en) * | 2020-12-02 | 2021-03-16 | 湖北工业大学 | Position judging method |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102213767A (en) * | 2011-04-08 | 2011-10-12 | 浙江工业大学 | Positioning control method for closed region of vehicle-mounted GPS (Global Positioning System) |
| CN102360509A (en) * | 2011-10-19 | 2012-02-22 | 浙江大学 | Method for judging space position relation of point and polygon by using maximum slope ray algorithm |
-
2015
- 2015-05-19 CN CN201510255047.7A patent/CN104851096A/en active Pending
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102213767A (en) * | 2011-04-08 | 2011-10-12 | 浙江工业大学 | Positioning control method for closed region of vehicle-mounted GPS (Global Positioning System) |
| CN102360509A (en) * | 2011-10-19 | 2012-02-22 | 浙江大学 | Method for judging space position relation of point and polygon by using maximum slope ray algorithm |
Non-Patent Citations (1)
| Title |
|---|
| 刘汝佳 黄亮: "《算法艺术与信息学竞赛》", 31 January 2004 * |
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105869188A (en) * | 2016-04-22 | 2016-08-17 | 广州日滨科技发展有限公司 | Detection method and system for point to polygon position relation |
| CN106982439A (en) * | 2017-03-28 | 2017-07-25 | 中国地质大学（武汉） | One kind seeks poor confirmation method for many satellite sensor earth observation overlay areas |
| WO2020019509A1 (en) * | 2018-07-26 | 2020-01-30 | 平安科技（深圳）有限公司 | Method and device for positioning and detecting robot, and computer-readable storage medium |
| CN112509031A (en) * | 2020-12-02 | 2021-03-16 | 湖北工业大学 | Position judging method |
| CN112509031B (en) * | 2020-12-02 | 2022-08-16 | 湖北工业大学 | Position judging method |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| US10943364B2 (en) | Method and device for determining areas of interest based on geolocation data | |
| US8046168B2 (en) | System and method for determining position within or without a complex polygon geofence | |
| CN105334522B (en) | The detection method and device of GPS attacks | |
| CN104851096A (en) | Method for rapidly judging position relation between point and polygon in GIS application | |
| US10318819B2 (en) | Camera surveillance planning and tracking system | |
| US11842516B2 (en) | Homography through satellite image matching | |
| US10659916B2 (en) | Retrospective path analysis | |
| JP2017015585A (en) | Navigation signal processing device, navigation signal processing method and navigation signal processing program | |
| CN108924544A (en) | Camera distortion measurement method and test device | |
| CN112422653A (en) | Scene information pushing method, system, storage medium and equipment based on location service | |
| WO2020019509A1 (en) | Method and device for positioning and detecting robot, and computer-readable storage medium | |
| CN105992239B (en) | A kind of method, apparatus and equipment of real-time positioning pseudo-base station | |
| CN104050869B (en) | GIS map covering is layouted response method and system | |
| WO2020019512A1 (en) | Robot positioning detection method and apparatus and computer readable storage medium | |
| CN108763248B (en) | Water area space monitoring fine division method and system | |
| CN107247280B (en) | Positioning authentication and processing method and device | |
| CN115797579A (en) | Image superposition method and device for three-dimensional map, electronic equipment and storage medium | |
| CN113566847B (en) | Navigation calibration method and device, electronic equipment and computer readable medium | |
| EP3327481B1 (en) | Method for modelling an imaging device, corresponding computer program product and computer-readable carrier medium | |
| KR101459004B1 (en) | Method for converting 3D Image based plan to 3D Image based spherical surface | |
| CN106525070B (en) | A kind of detection method and system of motion state of automobile | |
| KR20190088745A (en) | A method of displaying the position of a foreign object in the runway with GPS coordinates in an airport grid map | |
| Kozmin et al. | Comparison of spectrum monitoring coverage features of AOA and TDOA geolocation methods– | |
| CN104502937B (en) | Terminal positioning method and device | |
| CN117809446A (en) | Parking area processing method and device |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| EXSB | Decision made by sipo to initiate substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| WD01 | Invention patent application deemed withdrawn after publication |
Application publication date: 20150819 |
|
| WD01 | Invention patent application deemed withdrawn after publication |