Taxonomy of interpolation constraints on recursive subdivision surfaces

Visual Computer

Volumn 18, Issue 5-6, 2002, Pages 382-403

  Nasri, Ahmad H ^a   Sabin, Malcolm A ^b  

^a AMERICAN UNIVERSITY OF BEIRUT   (Lebanon)

^b Numerical Geometry Ltd   (United Kingdom)

Author keywords

B spline; Boundary control; Curves; Interpolation constraints; Normals; Points; Recursive subdivision; Sharpe features; Slopes; Surfaces

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER SOFTWARE; CONSTRAINT THEORY; INTERPOLATION;

RECURSIVE SUBDIVISION SURFACES;

COMPUTER AIDED DESIGN;

EID: 0036685219     PISSN: 01782789     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003710100155     Document Type: Article

References (42)

1. Recursively generated B-spline surfaces
2. Piecewise smooth subdivision surfaces with normal control
3. Recursively generated B-spline surfaces on arbitrary topological meshes
4. An algorithm for high speed curve generation
5. A method of smoothing highly irregular polyhedrons
6. Behavior of recursive division surfaces near extraordinary points
7. Symmetric iterative interpolation processes
8. A butterfly subdivision scheme for surface interpolation with tension control
9. A 4-point interpolatory subdivision scheme for curve design
10. Uniform subdivision algorithms for curves and surfaces
11. Non-uniform Comer Cutting
12. Efficient, fair interpolation using Catmull-Clark surfaces
13. Piecewise smooth surface reconstruction
14. Interpolatory subdivision on open quadrilateral nets with arbitrary topology
15. Interpolating nets of curves by smooth subdivision surfaces
16. Combined subdivision schemes for the design of surfaces satisfying boundary conditions
17. Smooth spline surfaces over irregular meshes
18. Polyhedral subdivision methods for free form surfaces
19. Surface interpolation on irregular network with normal constraints
20. Boundary-corner control in recursive subdivision surfaces
21. Curve interpolation in recursively generated surfaces over arbitrary topology
22. A 4-sided approach for interpolating B-spline curves by recursive subdivision surfaces
23. Recursive subdivision of polygonal complexes and its applications in CAGD
24. Constructing polygonal complexes with shape handles for curve interpolation by subdivision surfaces
25. Designing Catmull-Clark subdivision surfaces with curve interpolation constraints
26. Taxonomy of interpolation constraints on recursive subdivision curves
27. Polygonal mesh regularization for subdivision surfaces
28. Smooth free-form surfaces over irregular meshes generalizing quadratic splines
29. Analysis of generalized B-spline subdivision algorithms
30. The simplest subdivision scheme for smoothing polyhedra
31. A unified approach to subdivision algorithms near extraordinary vertices
32. Recursive subdivision
33. Nonuniform recursive subdivision surfaces
34. Binary subdivision schemes for functions over irregular knot sequences
35. Subdivision for modeling and animation