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Visibility problems for orthogonal objects in two-or three-dimensions
Authors:Jeong-In Doh  Kyung-Yong Chwa
Affiliation:(1) Computer Science Department, Korea Advanced Institute of Science and Technology, Cheongryang, P.O. Box 150, Seoul, Korea
Abstract:LetP be a set ofl points in 3-space, and letF be a set ofm opaque rectangular faces in 3-space with sides parallel tox- ory-axis. We present anO(n logn) time andO(n) space algorithm for determining all points inP which are visible from a viewpoint at (0,0,infin), wheren=l+m. We also present anO(n logn+k) time andO(n) space algorithm for the hidden-line elimination problem for the orthogonal polyhedra together with a viewpoint at (0,0,infin), wheren is the number of vertices of the polyhedra andk is the number of edge intersections in the projection plane.
Keywords:Visibility  Hidden-line elimination  Orthogonal objects  Computational geometry
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