A degree estimate for subdivision surfaces of higher regularity

Proceedings of the American Mathematical Society

Volumn 124, Issue 7, 1996, Pages 2167-2174

  Reif, Ulrich ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Arbitrary topology; Curvature continuity; Extraordinary vertex; Piecewise polynomial surface; Subdivision

Indexed keywords

EID: 21344457109     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-96-03366-7     Document Type: Article

References (8)

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4. [DLW93] T. DeRose, M. Lounsbery, and J. Warren, Multiresolution analysis for surfaces of arbitrary topological type, Tech. Report 93-10-05, University of Washington, 1993.
5. [DS78] D. Doo and M. A. Sabin, Behaviour of recursive subdivision surfaces near extraordinary points, Computer Aided Design 10 (1978), 356-360.
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7. [Rei93] U. Reif, Neue Aspekte in der Theorie der Freiformflächen beliebiger Topologie, Ph.D. thesis, Universität Stuttgart, 1993. MR 95f:65042
8. [Rei95] U. Reif, A unified approach to sudivision algorithms near extraordinary vertices, Computer Aided Geometric Design 12 (1995), 153-174.