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CORR
2008
Springer
115views Education» more  CORR 2008»
13 years 5 months ago
Discrete schemes for Gaussian curvature and their convergence
In this paper, several discrete schemes for Gaussian curvature are surveyed. The convergence property of a modified discrete scheme for the Gaussian curvature is proved. Furthermo...
Zhiqiang Xu, Guoliang Xu
CAGD
2006
113views more  CAGD 2006»
13 years 4 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
IMAMS
2007
245views Mathematics» more  IMAMS 2007»
13 years 6 months ago
Discrete Surface Ricci Flow: Theory and Applications
Conformal geometry is in the core of pure mathematics. Conformal structure is more flexible than Riemaniann metric but more rigid than topology. Conformal geometric methods have p...
Miao Jin, Junho Kim, Xianfeng David Gu
ICIP
2007
IEEE
14 years 6 months ago
Active Contours Based on Chambolle's Mean Curvature Motion
This paper proposes an algorithm to solve most of existing active contour problems based on the approach of mean curvature motion proposed by Chambolle in [1] and the image denois...
Xavier Bresson, Tony F. Chan
MOC
1998
175views more  MOC 1998»
13 years 4 months ago
Convergence of a non-stiff boundary integral method for interfacial flows with surface tension
Boundary integral methods to simulate interfacial flows are very sensitive to numerical instabilities. In addition, surface tension introduces nonlinear terms with high order spat...
Héctor D. Ceniceros, Thomas Y. Hou