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» Computational geometry for sculpture
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CAD
2007
Springer
15 years 6 months ago
Computing general geometric structures on surfaces using Ricci flow
Systematically generalizing planar geometric algorithms to manifold domains is of fundamental importance in computer aided design field. This paper proposes a novel theoretic fra...
Miao Jin, Feng Luo 0002, Xianfeng David Gu
GI
2009
Springer
15 years 4 months ago
The Differential Geometric View of Statistics and Estimation
: Statistics and estimation theory is enriched with techniques derived from differential geometry. This establishes the increasing topic of information geometry. This allows new in...
Felix Opitz
DCG
2011
15 years 1 months ago
More Colourful Simplices
We show that any point in the convex hull of each of (d +1) sets of (d +1) points in general position in Rd is contained in at least (d + 1)2/2 simplices with one vertex from each ...
Antoine Deza, Tamon Stephen, Feng Xie
COMPGEOM
2005
ACM
15 years 8 months ago
Shortest path amidst disc obstacles is computable
An open question in Exact Geometric Computation is whether there are transcendental computations that can be made “geometrically exact”. Perhaps the simplest such problem in c...
Ee-Chien Chang, Sung Woo Choi, DoYong Kwon, Hyungj...
COMPGEOM
1999
ACM
15 years 11 months ago
Folding Flat Silhouettes and Wrapping Polyhedral Packages: New Results in Computational Origami
We show a remarkable fact about folding paper: From a single rectangular sheet of paper, one can fold it into a flat origami that takes the (scaled) shape of any connected polygo...
Erik D. Demaine, Martin L. Demaine, Joseph S. B. M...