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DCG
2010
13 years 7 months ago
2010
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...
DCG
2010
13 years 7 months ago
2010
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
DCG
2010
13 years 7 months ago
2010
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...
DCG
2010
13 years 6 months ago
2010
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...
DCG
2010
13 years 7 months ago
2010
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...