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CAGD
2007
59views more  CAGD 2007»
13 years 5 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,...
APPML
2006
65views more  APPML 2006»
13 years 5 months ago
A numerical scheme for regularized anisotropic curve shortening flow
Realistic interfacial energy densities are often non-convex, which results in backward parabolic behavior of the corresponding anisotropic curve shortening flow, thereby inducing ...
Frank Haußer, Axel Voigt
GMP
2010
IEEE
177views Solid Modeling» more  GMP 2010»
13 years 10 months ago
Eigenmodes of Surface Energies for Shape Analysis
In this work, we study the spectra and eigenmodes of the Hessian of various discrete surface energies and discuss applications to shape analysis. In particular, we consider a physi...
Klaus Hildebrandt, Christian Schulz, Christoph von...
CAGD
2006
113views more  CAGD 2006»
13 years 5 months ago
Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
In this paper, we study the convergent property of a well known discretized scheme of Gaussian curvature, derived from Gauss-Bonnet theorem, over triangulated surface. Suppose the...
Guoliang Xu
TVCG
2008
167views more  TVCG 2008»
13 years 3 months ago
Optimal Surface Parameterization Using Inverse Curvature Map
Mesh parameterization is a fundamental technique in computer graphics. The major goals during mesh parameterization are to minimize both the angle distortion and the area distortio...
Yong-Liang Yang, Junho Kim, Feng Luo 0002, Shi-Min...