Title :
Extending Catmull-Clark Subdivision and PCCM with Polar Structures
Author :
Yoshizawa, Shingo ; Belyaev, Alexander ; Yokota, Hideo ; Seidel, Hans-Peter
Author_Institution :
RIKEN, Saitama
fDate :
Oct. 29 2007-Nov. 2 2007
Abstract :
A new geometry-based finite difference method for a fast and reliable detection of perceptually salient curvature extrema on surfaces approximated by dense triangle meshes is proposed. The foundations of the method are two simple curvature and curvature derivative formulas overlooked in modern differential geometry textbooks and seemingly new observation about inversion-invariant local surface-based differential forms.
Keywords :
differential geometry; finite difference methods; mesh generation; crest line detection; curvature derivative formulas; dense triangle meshes; differential geometry; geometric algorithm; geometry-based finite difference method; inversion-invariant local surface-based differential forms; perceptually salient curvature extrema; Application software; Computer graphics; Fingers; Industrial relations; Nose; Polynomials; Shape control; Spline; Surface reconstruction; Surface topography;
Conference_Titel :
Computer Graphics and Applications, 2007. PG '07. 15th Pacific Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-0-7695-3009-3
