June 1995
Intermediate to advanced
438 pages
10h 53m
English
Content preview from Graphics Gems V (IBM Version)
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VII.4
Spatial Partitioning of a Polygon by a Plane
Vaněček George, Jr, Purdue University Department of Computer Sciences West Lafayette, Indiana. E-mail address: vanecek@cs.purdue.edu
This gem presents an algorithm that partitions a polygon lying in 3D space by a plane, resulting in three lists of zero or more polygons. If the plane intersects the polygon transversely, the algorithm cuts the polygon by the plane and returns a list of new polygons that lie above and a list of new polygons that lie below the plane. This algorithm underpins many BSP tree and polygon intersection libraries. Splitting a polygon is a common problem encountered in many 3D geometric applications such as boundary representation (B-Rep) to BSP tree conversion
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