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» Analysis of Point Clouds - Using Conformal Geometric Algebra
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COMPGEOM
2010
ACM
13 years 10 months ago
Approximating loops in a shortest homology basis from point data
Inference of topological and geometric attributes of a hidden manifold from its point data is a fundamental problem arising in many scientific studies and engineering application...
Tamal K. Dey, Jian Sun, Yusu Wang
GMP
2006
IEEE
155views Solid Modeling» more  GMP 2006»
13 years 11 months ago
Geometric Accuracy Analysis for Discrete Surface Approximation
In geometric modeling and processing, computer graphics and computer vision, smooth surfaces are approximated by discrete triangular meshes reconstructed from sample points on the...
Junfei Dai, Wei Luo, Shing-Tung Yau, Xianfeng Gu
ADG
2006
Springer
177views Mathematics» more  ADG 2006»
13 years 11 months ago
Recognition of Computationally Constructed Loci
Abstract. We propose an algorithm for automated recognition of computationally constructed curves and discuss several aspects of the recognition problem. Recognizing loci means det...
Peter Lebmeir, Jürgen Richter-Gebert
IJAR
2011
86views more  IJAR 2011»
12 years 8 months ago
On open questions in the geometric approach to structural learning Bayesian nets
The basic idea of an algebraic approach to learning Bayesian network (BN) structures is to represent every BN structure by a certain uniquely determined vector, called the standar...
Milan Studený, Jirí Vomlel
PG
2007
IEEE
13 years 11 months ago
Visualisation of Implicit Algebraic Curves
We describe a new algorithm for the visualisation of implicit algebraic curves, which isolates the singular points, compute the topological degree around these points in order to ...
Lionel Alberti, Bernard Mourrain