Improvement on the dimensions of spline spaces on T-mesh

Journal of Information and Computational Science

Volumn 3, Issue 2, 2006, Pages 235-244

  Li, Chong Jun ^a   Wang, Ren Hong ^a   Zhang, Feng ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Dimension formula; Smoothing Cofactor Conformality method; Spline space; T mesh

Indexed keywords

CONSTRAINT THEORY; FUNCTIONS; TREES (MATHEMATICS);

DIMENSION FORMULA; SMOOTHING COFACTOR CONFORMALITY METHOD; SPLINE SPACE; T MESH;

COMPUTER GRAPHICS;

EID: 33845911268     PISSN: 15487741     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. Jiansong Deng, Falai Chen and Yuyu Feng, Dimensions of spline spaces over T-meshes, J. Comp. Appl. Math. 194 (2006) 267-283.
2. L. L. Schumaker, On the dimension of spaces of piecewise polynomials in two variables, in Multivariate Approximation Theory, W. Schempp and K. Zeller (Eds.), Birkhauser, Basel, 1979, pp.396-142.
3. Thomas W. Sederberg, Jianmin Zheng, Almaz Bakenov and Ahmad Nasri, T-splines and T-NURCCs, ACM Transactions on Graphics 22 (3) (2003) 477-484.
4. Thomas W. Sederberg, David L. Cardon, G. Thomas Finnigan, Nicholas S. North, Jianmin Zheng and Tom Lyche, T-spline simplification and local refinement, ACM Transactions on Graphics 23 (3) (2004) 276-283.
5. Ren-Hong Wang, The structural characterization and interpolation for multivariate splines, Acta Math. Sinica 18 (1975) 91-106.
6. Ren-Hong Wang, Multivariate Spline Functions and Their Applications, Science Press/Kluwer Academic Publishers, Beijing/New York/Dordrecht/Boston/London, 2001.