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COMPGEOM
1996
ACM
13 years 10 months ago
Splitting a Complex of Convex Polytopes In Any Dimension
Chandrajit L. Bajaj, Valerio Pascucci
AAECC
2002
Springer
126views Algorithms» more  AAECC 2002»
13 years 6 months ago
Toric Varieties Hirzebruch Surfaces and Error-Correcting Codes
Abstract. For any integral convex polytope in R2 there is an explicit construction of an error-correcting code of length (q - 1)2 over the finite field Fq, obtained by evaluation o...
Johan P. Hansen
COMPGEOM
1996
ACM
13 years 10 months ago
New Lower Bounds for Convex Hull Problems in Odd Dimensions
We show that in the worst case, (ndd=2e;1 +n logn) sidedness queries are required to determine whether the convex hull of n points in IRd is simplicial, or to determine the number ...
Jeff Erickson
CAGD
2007
86views more  CAGD 2007»
13 years 6 months ago
A general geometric construction of coordinates in a convex simplicial polytope
Barycentric coordinates are a fundamental concept in computer graphics and geometric modeling. We extend the geometric construction of Floater’s mean value coordinates [8,11] to...
Tao Ju, Peter Liepa, Joe D. Warren
ORL
2008
73views more  ORL 2008»
13 years 6 months ago
Polytopes and arrangements: Diameter and curvature
By analogy with the conjecture of Hirsch, we conjecture that the order of the largest total curvature of the central path associated to a polytope is the number of inequalities de...
Antoine Deza, Tamás Terlaky, Yuriy Zinchenk...