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» A Discrete Laplace-Beltrami Operator for Simplicial Surfaces
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COMPUTING
2007
126views more  COMPUTING 2007»
13 years 5 months ago
An algorithm for the construction of intrinsic delaunay triangulations with applications to digital geometry processing
The discrete Laplace-Beltrami operator plays a prominent role in many Digital Geometry Processing applications ranging from denoising to parameterization, editing, and physical si...
Matthew Fisher, Boris Springborn, Peter Schrö...
COMPGEOM
2008
ACM
13 years 7 months ago
Discrete laplace operator on meshed surfaces
In recent years a considerable amount of work in graphics and geometric optimization used tools based on the Laplace-Beltrami operator on a surface. The applications of the Laplac...
Mikhail Belkin, Jian Sun, Yusu Wang
TVCG
2012
176views Hardware» more  TVCG 2012»
11 years 8 months ago
Point-Based Manifold Harmonics
—This paper proposes an algorithm to build a set of orthogonal Point-Based Manifold Harmonic Bases (PB-MHB) for spectral analysis over point-sampled manifold surfaces. To ensure ...
Yang Liu, Balakrishnan Prabhakaran, Xiaohu Guo
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
SIAMNUM
2011
161views more  SIAMNUM 2011»
13 years 19 days ago
A Convergent Finite Volume Scheme for Diffusion on Evolving Surfaces
Abstract. A finite volume scheme for transport and diffusion problems on evolving hypersurfaces is discussed. The underlying motion is assumed to be described by a fixed, not ne...
Martin Lenz, Simplice Firmin Nemadjieu, Martin Rum...