Bivariate Cubic Spline Space and Bivariate Cubic NURBS Surfaces

G
GMP
2004
Geometric Modeling and Processing 2004
Abstract - Bivariate Cubic Spline Space and Bivariate Cubic NURBS Surfaces

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	Similar Articles Articles by Chong-Jun Li Articles by Ren-Hong Wang

Geometric Modeling and Processing 2004

Beijing, China

April 13-April 15

ISBN: 0-7695-2078-2

	ASCII Text	x
	Chong-Jun Li, Ren-Hong Wang, "Bivariate Cubic Spline Space and Bivariate Cubic NURBS Surfaces," Geometric Modeling and Processing, pp. 115, Geometric Modeling and Processing 2004, 2004.

	BibTex	x
	@article{ 10.1109/GMAP.2004.1290033, author = {Chong-Jun Li and Ren-Hong Wang}, title = {Bivariate Cubic Spline Space and Bivariate Cubic NURBS Surfaces}, journal ={Geometric Modeling and Processing}, volume = {0}, year = {2004}, isbn = {0-7695-2078-2}, pages = {115}, doi = {http://doi.ieeecomputersociety.org/10.1109/GMAP.2004.1290033}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Geometric Modeling and Processing TI - Bivariate Cubic Spline Space and Bivariate Cubic NURBS Surfaces SN - 0-7695-2078-2 SP EP A1 - Chong-Jun Li, A1 - Ren-Hong Wang, PY - 2004 KW - Bivariate spline space; Smoothing cofactor-conformality method; Bivariate cubic NURBS surface; Bi-variate cubic B-spline base; Type-2 triangulation VL - 0 JA - Geometric Modeling and Processing ER -

Chong-Jun Li, Dalian University of Technology, China

Ren-Hong Wang, Dalian University of Technology, China

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/GMAP.2004.1290033

In this paper, we study the bivariate cubic spline space S_3^{2,1} (\vartriangle _{mn}^{(2)}) and construct a kind of bivariate cubic NURBS surfaces by using the bivariate B-spline bases in S_3^{2,1} (\vartriangle _{mn}^{(2)}). Compared with the bicubic NURBS surfaces, this kind of bivariate NURBS surfaces are non-tensor product surfaces on the type-2 triangulation with many good properties.

Index Terms:

Bivariate spline space; Smoothing cofactor-conformality method; Bivariate cubic NURBS surface; Bi-variate cubic B-spline base; Type-2 triangulation

Citation:

Chong-Jun Li, Ren-Hong Wang, "Bivariate Cubic Spline Space and Bivariate Cubic NURBS Surfaces," gmp, pp.115, Geometric Modeling and Processing 2004, 2004

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