NDLI: Topology determined between point and polygon based on Vector Algebra

Content Provider	IEEE Xplore Digital Library
Author	Deer Liu Yongjun Wang Guonian Lv
Copyright Year	2010
Description	Author affiliation: Key Laboratory of Virtual Geographic Environment of Ministry of Education, Nanjing Normal University, China (Deer Liu; Yongjun Wang; Guonian Lv)
Abstract	Through study the geometric meaning of Vector Algebra, vector cross-product was used to determine the topological relationship between point and polygon. A horizontal vector was made based on the point determined. Cross multiplication between it and each edge of the polygon was made. Then, the signal of k-component was employed to determine the spatial relationship between point and polygon. An appropriate weight value was given to a bare possibility. The parity of the weight sum was to decide the spatial relationship between point and polygon. The intersectant point was avoided to compute, and some special cases were resolved with geometric equivalence. Software implementation verified the high robustness and efficiency of this algorithm. At last, this algorithm is compared with Ray Method, and the test result testifies that it has higher efficiency than Ray Method.
Starting Page	12
Ending Page	15
File Size	1079875
Page Count	4
File Format	PDF
ISBN	9781424473878
e-ISBN	9781424473908
DOI	10.1109/ESIAT.2010.5568940
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-07-17
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Computers Geometry Art Topological Relationship Vector Algebra Filtering algorithms Cross Product Complexity theory Point Polygon Joints Clocks
Content Type	Text
Resource Type	Article

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