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GMP
2002
IEEE
172views Solid Modeling» more  GMP 2002»
13 years 10 months ago
Classifying the Nonsingular Intersection Curve of Two Quadric Surfaces
We present new results on classifying the morphology of the nonsingular intersection curve of two quadrics by studying the roots of the characteristic equation, or the discriminan...
Changhe Tu, Wenping Wang, Jiaye Wang
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
SMA
2008
ACM
149views Solid Modeling» more  SMA 2008»
13 years 5 months ago
Exact arrangements on tori and Dupin cyclides
An algorithm and implementation is presented to compute the exact arrangement induced by arbitrary algebraic surfaces on a parametrized ring Dupin cyclide. The family of Dupin cyc...
Eric Berberich, Michael Kerber
CGF
2002
94views more  CGF 2002»
13 years 4 months ago
Multiresolution Surfaces having Arbitrary Topologies by a Reverse Doo Subdivision Method
We have shown how to construct multiresolution structures for reversing subdivision rules using global least squares models 16. As a result, semiorthogonal wavelet systems have al...
Faramarz F. Samavati, N. Mahdavi-Amiri, Richard M....
SMI
2010
IEEE
152views Image Analysis» more  SMI 2010»
13 years 3 months ago
Direct-Product Volumetric Parameterization of Handlebodies via Harmonic Fields
—Volumetric parameterization plays an important role for geometric modeling. Due to the complicated topological nature of volumes, it is much more challenging than the surface ca...
Jiazhi Xia, Ying He 0001, Xiaotian Yin, Shuchu Han...