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CAGD
2007
65views more  CAGD 2007»
13 years 7 months ago
Progressive iterative approximation and bases with the fastest convergence rates
All normalized totally positive bases satisfy the progressive iterative approximation property. The normalized B-basis has optimal shape preserving properties and we prove that it...
Jorge Delgado, Juan Manuel Peña
CAGD
2006
140views more  CAGD 2006»
13 years 7 months ago
Normal based subdivision scheme for curve design
In this paper we propose a new kind of nonlinear and geometry driven subdivision scheme for curve interpolation. Instead of using linear combination of old vertexes, displacement ...
Xunnian Yang
CAGD
2006
97views more  CAGD 2006»
13 years 7 months ago
Conditions for use of a non-selfintersection conjecture
Abstract. Volino and Thalmann have published a conjecture proposing sufficient conditions for non-selfintersection of surfaces. Such conditions may be used in solid modeling, compu...
Lars-Erik Andersson, Neil F. Stewart, Malika Zidan...
CAGD
2006
167views more  CAGD 2006»
13 years 7 months ago
Discrete surface modelling using partial differential equations
We use various nonlinear partial differential equations to efficiently solve several surface modelling problems, including surface blending, N-sided hole filling and free-form sur...
Guoliang Xu, Qing Pan, Chandrajit L. Bajaj
CAGD
2008
82views more  CAGD 2008»
13 years 7 months ago
On rationally supported surfaces
We analyze the class of surfaces which are equipped with rational support functions. Any rational support function can be decomposed into a symmetric (even) and an antisymmetric (...
Jens Gravesen, Bert Jüttler, Zbynek Sí...