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COMPGEOM
1996
ACM
13 years 9 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 4 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 9 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 4 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 4 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...