An acyclicity theorem for cell complexes ind dimension
- Cite this article as:
- Edelsbrunner, H. Combinatorica (1990) 10: 251. doi:10.1007/BF02122779
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LetC be a cell complex ind-dimensional Euclidean space whose faces are obtained by orthogonal projection of the faces of a convex polytope ind+ 1 dimensions. For example, the Delaunay triangulation of a finite point set is such a cell complex. This paper shows that the in_front/behind relation defined for the faces ofC with respect to any fixed viewpointx is acyclic. This result has applications to hidden line/surface removal and other problems in computational geometry.