Constructing polygonal complexes with shape handles for curve interpolation by subdivision surfaces

CAD Computer Aided Design

Volumn 33, Issue 11, 2001, Pages 753-765

  Nasri, Ahmad H ^a  

^a AMERICAN UNIVERSITY OF BEIRUT   (Lebanon)

Author keywords

B spline; Interpolation; Net of curves; Normal; Shape handle; Subdivision

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; COMPUTER GRAPHICS; CONTOUR MEASUREMENT; INTERPOLATION; SURFACES;

POLYGONAL COMPLEXES; SUBDIVISION SURFACES;

COMPUTER AIDED DESIGN;

EID: 0035860124     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(01)00093-8     Document Type: Article

References (20)

1. Piecewise smooth subdivision surfaces with normal control
2. Recursively generated B-spline surfaces on arbitrary tmeshes
3. Behaviour of recursive division surfaces near extraordinary points
4. Efficient, fair interpolation using Catmull-Clark surfaces
5. Piecewise smooth surface reconstruction
6. Interpolating nets of curves by smooth subdivision surfaces
7. Multiresolution analysis for surfaces of arbitrary topological type
8. Polyhedral subdivision methods for free form surfaces
9. Interpolation on irregular networks with normal conditions
10. A recursive subdivision surface through an irregular mesh of curves
11. Curve interpolation in recursively generated B-spline surfaces over arbitrary topology
12. Interpolation of open curves by recursive subdivision
13. Recursive subdivision of polygonal complexes and its applications in CAGD
14. Gaussian and mean curvature of subdivision surfaces
15. A unified approach to subdivision algorithms near extraordinary vertices
16. Subdivision schemes for fluid flow
17. Subdivision for modeling and animation