On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree

Computer Aided Geometric Design

Volumn 18, Issue 5, 2001, Pages 383-396

  Stam, Jos ^a  

^a Alias Wavefront   (United States)

Author keywords

CAD; Curves and surfaces; Solid modeling; Subdivision surfaces

Indexed keywords

COMPUTER SIMULATION; GRAPH THEORY; MATHEMATICAL MODELS; TENSORS;

B-SPLINE SURFACES;

COMPUTATIONAL GEOMETRY;

EID: 0035368419     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(01)00038-3     Document Type: Article

References (17)

1. Recursively generated B-spline surfaces on arbitrary topological meshes
2. Behaviour of recursive subdivision surfaces near extraordinary points
3. Piecewise smooth surface reconstruction
4. A variational approach to subdivision
5. A theoretical development for the computer generation and display of piecewise polynomial surfaces
6. Analysis of generalized B-splines subdivision algorithms
7. Smoothness of subdivision surfaces at extraordinary points
8. A unified approach to subdivision algorithms near extraordinary vertices
9. A degree estimate for subdivision surfaces of higher regularity
10. Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
11. 4-8 Subdivision
12. Subdivision schemes for thin plate splines
13. A unified framework for primal/dual quadrilateral subdivision schemes