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15 years 5 months ago
GTS The Triangulated Surface Library
This is an open source library that provides an easy access to the topological properties of a 3D mesh surface. In addition, it provided several useful utility functions such as cu...
COMPGEOM
2000
ACM
13 years 9 months ago
Fast software for box intersections
We present fast implementations of a hybrid algorithm for reporting box and cube intersections. Our algorithm initially takes a divide-and-conquer approach and switches to simpler...
Afra Zomorodian, Herbert Edelsbrunner
CCCG
2008
13 years 6 months ago
Computing Dehn Twists and Geometric Intersection Numbers in Polynomial Time
Simple curves on surfaces are often represented as sequences of intersections with a triangulation. However, there are much more succinct ways of representing simple curves used i...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic
MFCS
1994
Springer
13 years 9 months ago
"The Big Sweep": On the Power of the Wavefront Approach to Voronoi Diagrams
We show that the wavefront approach to Voronoi diagrams (a deterministic line sweep algorithm that does not use geometric transform) can be generalized to distance measures more g...
Frank K. H. A. Dehne, Rolf Klein
COMPGEOM
2004
ACM
13 years 10 months ago
Sampling and meshing a surface with guaranteed topology and geometry
This paper presents an algorithm for sampling and triangulating a generic C2 -smooth surface Σ ⊂ R3 that is input with an implicit equation. The output triangulation is guarant...
Siu-Wing Cheng, Tamal K. Dey, Edgar A. Ramos, Tath...