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Computing surfaces invariant under subdivision |
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| Authors: | Charles A. Micchelli Hartmut Prautzsch |
| Affiliation: | a Department of Mathematical Sciences, IBM Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, NY 10598, U.S.A. b Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, U.S.A. |
| Abstract: | In this paper, we propose a general subdivision algorithm for generating surfaces. The algorithm has as motivation our earlier work on the design of free form curves where similar ideas were investigated. Here we describe some properties of uniform refinement algorithms for surface generation. A detail analysis of their properties will be given later by one of us. |
| Keywords: | Uniform refinement subdivision matrices tensor products triangular patches |
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