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COMPGEOM
2005
ACM
13 years 7 months ago
Inequalities for the curvature of curves and surfaces
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
David Cohen-Steiner, Herbert Edelsbrunner
SMI
2005
IEEE
13 years 11 months ago
Curvature-based Energy for Simulation and Variational Modeling
Curvature-based energy and forces are used in a broad variety of contexts, ranging from modeling of thin plates and shells to surface fairing and variational surface design. The a...
Denis Zorin
PAMI
1998
96views more  PAMI 1998»
13 years 5 months ago
On the Accuracy of Zernike Moments for Image Analysis
—In this paper, we give a detailed analysis of the accuracy of Zernike moments in terms of their discretization errors and the reconstruction power. It is found that there is an ...
Simon X. Liao, Miroslaw Pawlak
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
COMPGEOM
2006
ACM
13 years 11 months ago
Envelope surfaces
We construct a class of envelope surfaces in Rd , more precisely envelopes of balls. An envelope surface is a closed C1 (tangent continuous) manifold wrapping tightly around the u...
Nico Kruithof, Gert Vegter