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» Convexity in Discrete Space
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CP
1999
Springer
13 years 11 months ago
The Theory of Discrete Lagrange Multipliers for Nonlinear Discrete Optimization
In this paper we present a Lagrange-multiplier formulation of discrete constrained optimization problems, the associated discrete-space first-order necessary and sufficient condit...
Benjamin W. Wah, Zhe Wu
EUSFLAT
2007
13 years 9 months ago
A New Look on Discrete Quasi-copulas
In this paper discrete quasi-copulas (defined on a square grid I2 n of [0,1]) are studied and it is proved that they can be represented by means of a special class of matrices wi...
Isabel Aguiló, Jaume Suñer, Joan Tor...
COMPGEOM
1996
ACM
13 years 11 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
SODA
2003
ACM
127views Algorithms» more  SODA 2003»
13 years 9 months ago
Binary space partitions for 3D subdivisions
We consider the following question: Given a subdivision of space into n convex polyhedral cells, what is the worst-case complexity of a binary space partition (BSP) for the subdiv...
John Hershberger, Subhash Suri
COMPGEOM
2009
ACM
14 years 2 months ago
Incremental construction of the delaunay triangulation and the delaunay graph in medium dimension
We describe a new implementation of the well-known incremental algorithm for constructing Delaunay triangulations in any dimension. Our implementation follows the exact computing ...
Jean-Daniel Boissonnat, Olivier Devillers, Samuel ...