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» Discretization: An Enabling Technique
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IMR
2003
Springer
15 years 11 months ago
Multilevel Accelerated Optimization for Problems in Grid Generation
The quality of numerical simulations of processes that are modeled by partial differential equations strongly depends on the quality of the mesh that is used for their discretiza...
Markus Berndt, Mikhail J. Shashkov
COMPGEOM
1998
ACM
15 years 10 months ago
Constructing Approximate Shortest Path Maps in Three Dimensions
We present a new technique for constructing a data-structure that approximates shortest path maps in IRd . By applying this technique, we get the following two results on approxim...
Sariel Har-Peled
SIGGRAPH
1998
ACM
15 years 10 months ago
Interactive Multi-Resolution Modeling on Arbitrary Meshes
During the last years the concept of multi-resolution modeling has gained special attention in many fields of computer graphics and geometric modeling. In this paper we generaliz...
Leif Kobbelt, Swen Campagna, Jens Vorsatz, Hans-Pe...
COMPGEOM
1997
ACM
15 years 10 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...
COMPGEOM
2005
ACM
15 years 8 months ago
Learning smooth objects by probing
We consider the problem of discovering a smooth unknown surface S bounding an object O in R3 . The discovery process consists of moving a point probing device in the free space ar...
Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve ...