Conditions for Tangent Plane Continuity over Recursively Generated B-Spline Surfaces

ACM Transactions on Graphics (TOG)

Volumn 7, Issue 2, 1988, Pages 83-102

  Ball, A A ^a   Storry, D J T ^a  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

B spline surfaces; discrete Fourier transform; nonrectangular topologies; recursive subdivision; tangent plane continuity

Indexed keywords

COMPUTER AIDED DESIGN; COMPUTER GRAPHICS; MATHEMATICAL TECHNIQUES - EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TRANSFORMATIONS - FAST FOURIER TRANSFORMS;

B-SPLINE SURFACES; DISCRETE FOURIER TRANSFORM; NONRECTANGULAR TOPOLOGIES; RECURSIVE SUBDIVISION; TANGENT PLANE CONTINUITY;

SURFACES;

EID: 0023999814     PISSN: 07300301     EISSN: 15577368     Source Type: Journal    
DOI: 10.1145/42458.42459     Document Type: Article

References (7)

1. Ball, A. A., and Storry, D. J. T. Recursively generated B-spline surfaces. In CAD84, Proceedings (Brighton, Sussex, U.K., Apr. 3-5). Butterworth, Woburn, Mass., 1984, pp. 112–119.
2. Ball, A. A., and Storry, D. J. T. A matrix approach to the analysis of recursively generated B-spline surfaces. Comput. Aided Des. 18 (1986), 437-442.
3. Catmull, E., and Clark, J. Recursively generated B-spline surfaces on arbitrary topological meshes. Comput. Aided Des. 10 (1978), 350-355.
4. Doo, D., and Sabin, M. A. Behaviour of recursive division surfaces near extraordinary points. Comput. Aided Des. 10 (1978), 356-360.
5. Gordon, W. J., and Riesenfeld, R. F. B-spline curves and surfaces. In Computer Aided Geometric Design. Academic Press, New York, 1974.
6. Nasri, A. H. Polyhedral subdivision methods for free-form surfaces. ACM Trans. Graph. 6, 1 (Jan. 1987), 29-73.
7. Storry, D. J. T. B-spline surfaces over an irregular topology by recursive subdivision. Ph.D. dissertation, Loughborough Univ. of Technology, Leicestershire, England, 1985.