Subdivision of uniform Powell-Sabin splines

Computer Aided Geometric Design

Volumn 16, Issue 4, 1999, Pages 301-315

  Windmolders, Joris ^a   Dierckx, Paul ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER AIDED DESIGN; MATHEMATICAL MODELS; SURFACES;

POWELL-SABIN SPLINES;

COMPUTATIONAL GEOMETRY;

EID: 0033548978     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(99)00002-3     Document Type: Article

References (7)

1. Dierckx, P., Van Leemput, S. and Vermeire, T. (1992), Algorithms for surface fitting using Powell - Sabin splines, IMA Journal of Numerical Analysis 12, 271-299.
2. Dierckx, P. (1997), On calculating normalized Powell - Sabin B-splines, Computer Aided Geometric Design 15, 61-78.
3. Farin, G. (1986), Triangular Bernstein-Bézier patches, Computer Aided Geometric Design 3, 83-127.
4. Farin, G. (1997), Curves and Surfaces for Computer Aided Geometric Design; A Practical Guide, 4th Ed., Academic Press, Boston.
5. Hoschek, J. and Lasser, D. (1993), Fundamentals of Computer Aided Geometric Design, A K Peters, Boston MA.
6. Powell, M.J.D. and Sabin, M.A. (1977), Piecewise quadratic approximations on triangles, ACM Transactions on Mathematical Software 3, 316-325.
7. 1 -quadratic Spline Space on Triangulations, Report 86004, Department of Mathematics, Jilin University, Changchun.