Dimensions of spline spaces over T-meshes

Journal of Computational and Applied Mathematics

Volumn 194, Issue 2, 2006, Pages 267-283

  Deng, Jiansong ^a   Chen, Falai ^a   Feng, Yuyu ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

B zier ordinate; Dimension; Spline; T mesh

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; SPLINES; STATE SPACE METHODS; THEOREM PROVING; TOPOLOGY;

BÉZIER ORDINATE; DIMENSIONS; MESH OPERATIONS; T-MESH;

NUMERICAL METHODS;

EID: 33646522765     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.07.009     Document Type: Article

References (8)

1. Alfeld P. Bivariate spline spaces and minimal determining sets. J. Comput. Appl. Math. 119 (2000) 13-27
2. Alfeld P., and Schumaker L.L. The dimensions of bivariate spline spaces of smoothness r for degree d {greater than or slanted equal to} 4 r + 1. Constr. Approx. 3 (1987) 189-197
3. Farin G. Curves and Surfaces for CAGD-A Practical Guide. fifth ed. (2002), Morgan Kaufmann Publishers, Los Altos, CA
4. Forsey D., and Bartels R.H. Hierarchical B-spline refinement. Comput. Graphics 22 4 (1988) 205-212
5. Sederberg T.W., Cardon D.L., Finnigan G.T., North N.S., Zheng J., and Lyche T. T-spline simplification and local refinement. ACM Trans. Graphics 23 3 (2004) 276-283
6. Sederberg T.W., Zheng J., Bakenov A., and Nasri A. T-splines and T-NURCCs. ACM Trans. Graphics 22 3 (2003) 161-172
7. Wang R.-H. Multivariate Spline Functions and Their Applications (2001), Kluwer Academic Publishers, Dordrecht
8. Weller F., and Hagen H. Tensor-product spline spaces with knot segments. In: Dæhlen M., Lyche T., and Schumaker L.L. (Eds). Mathematical Methods for Curves and Surfaces (1995), Vanderbilt University Press, Nashville, TN 563-572