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Bivariate Cubic Spline Space and Bivariate Cubic NURBS Surfaces
Beijing, China April 13-April 15
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/GMAP.2004.1290033Geometric Modeling and Processing 2004
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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
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@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
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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
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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