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DCG
2010
13 years 7 months ago
2010
We study the multiplicity modulo 2 of real analytic hypersurfaces. We prove that, under some assumptions on the singularity, the multiplicity modulo 2 is preserved by subanalytic b...
DCG
2010
13 years 7 months ago
2010
We present a Delaunay refinement algorithm for meshing a piecewise smooth complex in three dimensions. The algorithm protects edges with weighted points to avoid the difficulty po...
DCG
2010
13 years 7 months ago
2010
The angle defect, which is the standard way to measure the curvatures at the vertices of polyhedral surfaces, goes back at least as far as Descartes. Although the angle defect has ...
DCG
2010
13 years 7 months ago
2010
Consider a graph G with n vertices. In this paper we study geometric conditions for an n-tuple of points in Rd to admit a non-zero self stress with underlying graph G. We introduce...
DCG
2010
13 years 7 months ago
2010
Let L be a set of n lines in Rd , for d 3. A joint of L is a point incident to at least d lines of L, not all in a common hyperplane. Using a very simple algebraic proof techniqu...