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COMPGEOM
2006
ACM
15 years 9 months ago
Minimum-cost load-balancing partitions
We consider the problem of balancing the load among m service-providing facilities, while keeping the total cost low. Let R be the underlying demand region, and let p1, . . . , pm...
Boris Aronov, Paz Carmi, Matthew J. Katz
COMPGEOM
2006
ACM
15 years 9 months ago
Minimum weight triangulation is NP-hard
A triangulation of a planar point set S is a maximal plane straight-line graph with vertex set S. In the minimum weight triangulation (MWT) problem, we are looking for a triangula...
Wolfgang Mulzer, Günter Rote
115
Voted
COMPGEOM
2003
ACM
15 years 9 months ago
High-dimensional shape fitting in linear time
Let P be a set of n points in Rd. The radius of a k-dimensional flat F with respect to P, denoted by RD(F, P), is defined to be maxp∈P dist(F, p), where dist(F, p) denotes the...
Sariel Har-Peled, Kasturi R. Varadarajan
RT
2001
Springer
15 years 8 months ago
Opacity Shadow Maps
Opacity shadow maps approximate light transmittance inside a complex volume with a set of planar opacity maps. A volume made of standard primitives (points, lines, and polygons) i...
Tae-Yong Kim 0002, Ulrich Neumann
133
Voted
SIGGRAPH
1993
ACM
15 years 8 months ago
Mesh optimization
We present a method for solving the following problem: Given a set of data points scattered in three dimensions and an initial triangular mesh M0, produce a mesh M, of the same to...
Hugues Hoppe, Tony DeRose, Tom Duchamp, John Alan ...