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COMPGEOM
2005
ACM
13 years 9 months ago
On the exact computation of the topology of real algebraic curves
We consider the problem of computing a representation of the plane graph induced by one (or more) algebraic curves in the real plane. We make no assumptions about the curves, in p...
Raimund Seidel, Nicola Wolpert
COMPGEOM
2004
ACM
14 years 1 months ago
Single-strip triangulation of manifolds with arbitrary topology
Triangle strips have been widely used for efficient rendering. It is NP-complete to test whether a given triangulated model can be represented as a single triangle strip, so many...
David Eppstein, M. Gopi
COMPGEOM
2010
ACM
14 years 23 days ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
SIGGRAPH
1997
ACM
13 years 12 months ago
Interactive Boolean operations for conceptual design of 3-D solids
Interactive modeling of 3-D solids is an important and difficult problem in computer graphics. The Constructive Solid Geometry (CSG) modeling scheme is highly attractive for inte...
Ari Rappoport, Steven N. Spitz
COCOA
2008
Springer
13 years 9 months ago
Elementary Approximation Algorithms for Prize Collecting Steiner Tree Problems
This paper deals with approximation algorithms for the prize collecting generalized Steiner forest problem, defined as follows. The input is an undirected graph G = (V, E), a colle...
Shai Gutner