Combined subdivision schemes for the design of surfaces satisfying boundary conditions

Computer Aided Geometric Design

Volumn 16, Issue 5, 1999, Pages 345-354

  Levin, Adi ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER AIDED DESIGN; INTERPOLATION;

COMBINED SUBDIVISION METHODS; SURFACE SATISFYING BOUNDARY CONDITIONS;

COMPUTATIONAL GEOMETRY;

EID: 0033149089     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(98)00051-X     Document Type: Article

References (6)

1. Doo, D. and Sabin, M. (1978), Behaviour of recursive division surface near extraordinary points, Computer-Aided Design 10, 356-360.
2. Kobbelt, L., Hesse, T., Prautzsch, H. and Schweizerhof, K. (1996), Interpolatory subdivision on open quadrilateral nets with arbitrary topology, Computer Graphics Forum 15, 409-420.
3. Levin, A. (1998), Analysis of Combined Subdivision Schemes for the Design of Surfaces Satisfying Boundary Conditions, http://www.math.tau.ac.il/~adilev.
4. Loop, C. (1987), Smooth Spline Surfaces Based on Triangles, Master's thesis, University of Utah, Department of Mathematics.
5. Nasri, A.H. (1997), Free-form Curve Generation by Recursive Subdivision Of Polygonal Complexes, presented at Nashville.
6. Schweitzer, J. (1996), Analysis and Applications of Subdivision Surfaces, PhD thesis, University of Washington, Seattle.