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ALGORITHMICA
2002
83views more  ALGORITHMICA 2002»
13 years 7 months ago
A Tutorial for Designing Flexible Geometric Algorithms
The implementation of an algorithm is faced with the issues efficiency, flexibility, and ease-of-use. In this paper, we suggest a design concept that greatly increases the flexibi...
Vikas Kapoor, Dietmar Kühl, Alexander Wolff
SIAMNUM
2010
85views more  SIAMNUM 2010»
13 years 2 months ago
Geometrically Consistent Mesh Modification
A new paradigm of adaptivity is to execute refinement, coarsening, and smoothing of meshes on manifolds with incomplete information about their geometry and yet preserve position a...
A. Bonito, R. H. Nochetto, M. S. Pauletti
FOCS
2006
IEEE
14 years 1 months ago
Dispersion of Mass and the Complexity of Randomized Geometric Algorithms
How much can randomness help computation? Motivated by this general question and by volume computation, one of the few instances where randomness provably helps, we analyze a noti...
Luis Rademacher, Santosh Vempala
ISAAC
2007
Springer
80views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Geometric Streaming Algorithms with a Sorting Primitive
We solve several fundamental geometric problems under a new streaming model recently proposed by Ruhl et al. [2, 12]. In this model, in one pass the input stream can be scanned to ...
Eric Y. Chen
COMGEO
1999
ACM
13 years 7 months ago
Visualizing geometric algorithms over the Web
The visual nature of geometry applications makes them a natural area where visualization can be an effective tool for demonstrating algorithms. In this paper we propose a new mode...
James E. Baker, Isabel F. Cruz, Giuseppe Liotta, R...