An Acyclicity Theorem for Cell Complexes in d Dimension. I. Herbert Edelsbrunner. Department of Computer Science. University of Illinois at Urbana-Champaign.
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 dimension.
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This paper shows that the in_front/behind relation defined for the faces of C with respect to any fixed viewpoint x is acyclic.
More specifically, the relation is acyclic for all cell complexes in. Ed that can be obtained by projecting the boundary complex of a convex polytope in Ed+1.
Let C be a cell complex in d-dimensional Euclidean space whose faces are obtained by orthogonal projection of the faces of a convex polytope in d + 1 dimensions ...
Abstract: Let C be a cell complex in d-dimensional Euclidean space whose faces are obtained by orthogonal projection of the faces of a convex polytope in d + 1 ...
It is shown that the in_front/behind relation defined for the faces of C with respect to any fixed viewpoint x is acyclic, which has applications to hidden ...
Dec 31, 1989 · 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 ...
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Title, An Acyclicity Theorem for Cell Complexes in D Dimension Issue 1500 of Report (University of Illinois at Urbana-Champaign. Department of Computer Science).