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DCG
2010
64views more  DCG 2010»
14 years 9 months ago
Uniform Convergence of Discrete Curvatures from Nets of Curvature Lines
We study discrete curvatures computed from nets of curvature lines on a given smooth surface and prove their uniform convergence to smooth principal curvatures. We provide explicit...
Ulrich Bauer, Konrad Polthier, Max Wardetzky
73
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DCG
2010
85views more  DCG 2010»
14 years 9 months ago
Dense Crystalline Dimer Packings of Regular Tetrahedra
We present the densest known packing of regular tetrahedra with density = 4000 4671 = 0.856347.... Like the recently discovered packings of Kallus et al. and Torquato
Elizabeth R. Chen, Michael Engel, Sharon C. Glotze...
DCG
2010
79views more  DCG 2010»
14 years 9 months ago
Three-Dimensional Classical Groups Acting on Polytopes
Let V be a 3-dimensional vector space over a finite field. We show that any irreducible subgroup of GL(V ) that arises as the automorphism group of an regular polytope preserves a...
Peter A. Brooksbank, Deborah A. Vicinsky
DCG
2010
97views more  DCG 2010»
14 years 8 months ago
Cech Type Approach to Computing Homology of Maps
A new approach to algorithmic computation of the homology of spaces and maps is presented. The key point of the approach is a change in the representation of sets. The proposed rep...
Marian Mrozek
66
Voted
DCG
2010
88views more  DCG 2010»
14 years 9 months ago
Computing the Shortest Essential Cycle
An essential cycle on a surface is a simple cycle that cannot be continuously deformed to a point or a single boundary. We describe algorithms to compute the shortest essential cy...
Jeff Erickson, Pratik Worah