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COMPGEOM
2004
ACM
14 years 3 months ago
Towards in-place geometric algorithms and data structures
For many geometric problems, there are efficient algorithms that use surprisingly very little extra space other than the given array holding the input. For many geometric query pr...
Hervé Brönnimann, Timothy M. Chan, Eri...
COMPGEOM
2004
ACM
14 years 3 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...
COMPGEOM
2004
ACM
14 years 3 months ago
Time-varying reeb graphs for continuous space-time data
The Reeb graph is a useful tool in visualizing real-valued data obtained from computational simulations of physical processes. We characterize the evolution of the Reeb graph of a...
Herbert Edelsbrunner, John Harer, Ajith Mascarenha...
COMPGEOM
2004
ACM
14 years 1 months ago
Spacetime meshing with adaptive refinement and coarsening
We propose a new algorithm for constructing finite-element meshes suitable for spacetime discontinuous Galerkin solutions of linear hyperbolic PDEs. Given a triangular mesh of som...
Reza Abedi, Shuo-Heng Chung, Jeff Erickson, Yong F...
COMPGEOM
2004
ACM
14 years 3 months ago
Pushing squares around
We study dynamic self-reconfiguration of modular metamorphic systems. We guarantee the feasibility of motion planning in a rectangular model consisting of square modules that are...
Adrian Dumitrescu, János Pach