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COMPGEOM
1997
ACM
13 years 11 months ago
Robust Proximity Queries: An Illustration of Degree-Driven Algorithm Design
Abstract. In the context of methodologies intended to confer robustness to geometric algorithms, we elaborate on the exact-computation paradigm and formalize the notion of degree o...
Giuseppe Liotta, Franco P. Preparata, Roberto Tama...
ESA
2006
Springer
130views Algorithms» more  ESA 2006»
13 years 11 months ago
Robust, Generic and Efficient Construction of Envelopes of Surfaces in Three-Dimensional Spaces
Lower envelopes are fundamental structures in computational geometry, which have many applications, such as computing general Voronoi diagrams and performing hidden surface removal...
Michal Meyerovitch
COMPGEOM
2001
ACM
13 years 11 months ago
PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation
: Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitive...
Shankar Krishnan, Mark Foskey, Tim Culver, John Ke...
CGI
2000
IEEE
13 years 11 months ago
Local and Global Geometric Methods for Analysis Interrogation, Reconstruction, Modification and Design of Shape
This paper gives an overview of some recent methods useful for local and global shape analysis and for the design of solids. These methods include as new tools for global and loca...
Franz-Erich Wolter, K.-I. Friese
SMA
1995
ACM
217views Solid Modeling» more  SMA 1995»
13 years 11 months ago
Bubble mesh: automated triangular meshing of non-manifold geometry by sphere packing
This paper presents a new computational method for fully automated triangular mesh generation, consistently applicable to wire-frame, surface, solid, and nonmanifold geometries. T...
Kenji Shimada, David C. Gossard