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» On rationally supported surfaces
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CAGD
2005
72views more  CAGD 2005»
13 years 7 months ago
Parametrization of approximate algebraic surfaces by lines
In this paper we present an algorithm for parametrizing approximate algebraic surfaces by lines. The algorithm is applicable to -irreducible algebraic surfaces of degree d having ...
Sonia Pérez-Díaz, Juana Sendra, J. R...
CORR
2008
Springer
138views Education» more  CORR 2008»
13 years 7 months ago
The implicit equation of a canal surface
A canal surface is an envelope of a one parameter family of spheres. In this paper we present an efficient algorithm for computing the implicit equation of a canal surface generat...
Marc Dohm, Severinas Zube
SMA
2009
ACM
130views Solid Modeling» more  SMA 2009»
14 years 1 months ago
A symbolic-numerical envelope algorithm using quadratic MOS patches
In this paper, we describe an algorithm for generating an exact rational envelope of a two-parameter family of spheres given by a quadratic patch in R3,1 , which is considered as ...
Bohumír Bastl, Jirí Kosinka, Mirosla...
SMI
2005
IEEE
111views Image Analysis» more  SMI 2005»
14 years 28 days ago
Rational Spherical Splines for Genus Zero Shape Modeling
Traditional approaches for modeling a closed manifold surface with either regular tensor-product or triangular splines (defined over an open planar domain) require decomposing th...
Ying He 0001, Xianfeng Gu, Hong Qin
CAD
2006
Springer
13 years 7 months ago
A rational extension of Piegl's method for filling n-sided holes
N-sided hole filling plays an important role in vertex blending. To deal with the case that the corner is surrounded by rational surfaces (i.e. NURBS surfaces), an algorithm to fi...
Yi-Jun Yang, Jun-Hai Yong, Hui Zhang, Jean-Claude ...