Automatic construction of control triangles for subdivided Powell-Sabin splines

Computer Aided Geometric Design

Volumn 21, Issue 7, 2004, Pages 671-682

  Vanraes, Evelyne ^a   Windmolders, Joris ^a   Bultheel, Adhemar ^a   Dierckx, Paul ^a  

^a NONE

Author keywords

CAGD; Normalised B splines; Powell Sabin splines; Subdivision

Indexed keywords

CAGD; NORMALISED B-SPLINES; POWELL-SABIN SPLINES; SUBDIVISION;

ALGORITHMS; BOUNDARY CONDITIONS; GEOMETRY; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; POLYNOMIALS; PROBLEM SOLVING; TENSORS; TRIANGULATION;

COMPUTER AIDED DESIGN;

EID: 4344717390     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cagd.2004.05.001     Document Type: Article

References (10)

1. Dierckx P. On calculating normalized Powell-Sabin B-splines. Computer Aided Geometric Design. 15:(1):1997;61-78.
2. Farin G. Triangular Bernstein-Bézier patches. Computer Aided Geometric Design. 3:(2):1986;83-128.
3. Kobbelt L. √3-subdivision. Computer Graphics Proceedings, Annual Conference Series. 2000;ACM SIGGRAPH.
4. Labsik U., Greiner G. Interpolatory √3 -subdivision. Coquillart S., Duke D. Jr. Proc. 21th European Conference on Computer Graphics (Eurographics-00). Cambridge, August 21-25 Computer Graphics Forum. vol. 19, 3:2000;131-138.
5. Powell M.J.D., Sabin M.A. Piecewise quadratic approximations on triangles. ACM Trans. Math. Software. 3:1977;316-325.
6. 1 quadratic spline space on triangulations. Report 86004, Department of Mathematics, Jilin University, Changchun.
7. Vanraes, E., Maes, J., Bultheel, A., 2003. Powell-Sabin spline wavelets. TW Report 362, Department of Computer Science, Katholieke Universiteit Leuven, Belgium.
8. Vanraes E., Windmolders J., Bultheel A., Dierckx P. Dyadic and √3 -subdivision for Uniform Powell-Sabin splines. Information Visualisation Proceedings. 2002;IEEE Computer Society.
9. Windmolders J., Dierckx P. Subdivision of Uniform Powell-Sabin splines. Computer Aided Geometric Design. 16:(4):1999;301-315.
10. Windmolders, J., Vanraes, E., Dierckx, P., Bultheel, A., 2002. Uniform Powell-Sabin spline wavelets. TW Report 335, Department of Computer Science, Katholieke Universiteit Leuven, Belgium.