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» Computing discrete shape operators on general meshes
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CVPR
2006
IEEE
15 years 3 months ago
A Shape Representation for Planar Curves by Shape Signature Harmonic Embedding
This paper introduces a new representation for planar curves. From the well-known Dirichlet problem for a disk, the harmonic function embedded in a circular disk is solely depende...
Sang-Mook Lee, A. Lynn Abbott, Neil A. Clark, Phil...
SIAMSC
2010
125views more  SIAMSC 2010»
14 years 7 months ago
A Parallel Geometric Multigrid Method for Finite Elements on Octree Meshes
Abstract. In this article, we present a parallel geometric multigrid algorithm for solving elliptic partial differential equations (PDEs) on octree based conforming finite elemen...
Rahul S. Sampath, George Biros
97
Voted
CORR
2008
Springer
190views Education» more  CORR 2008»
14 years 8 months ago
Chain-Based Representations for Solid and Physical Modeling
In this paper we show that the (co)chain complex associated with a decomposition of the computational domain, commonly called a mesh in computational science and engineering, can b...
Antonio DiCarlo, Franco Milicchio, Alberto Paoluzz...
62
Voted
CAGD
2007
59views more  CAGD 2007»
14 years 9 months ago
Discrete quadratic curvature energies
We present a family of discrete isometric bending models (IBMs) for triangulated surfaces in 3-space. These models are derived from an axiomatic treatment of discrete Laplace oper...
Max Wardetzky, Miklós Bergou, David Harmon,...
SMA
2006
ACM
122views Solid Modeling» more  SMA 2006»
15 years 3 months ago
Segmenting reliefs on triangle meshes
Sculptural reliefs are widely used in various industries for purposes such as applying brands to packaging and decorating porcelain. In order to easily apply reliefs to CAD models...
Shenglan Liu, Ralph R. Martin, Frank C. Langbein, ...