Refining cubic parametric B-splines |
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Authors: | P. Costantini C. Manni |
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Affiliation: | (1) Dipartimento di Matematica, Università di Roma ``Tor Vergata', 00185 Rome, Italy;(2) Dipartimento di Sc. Matematiche ed Informatiche, Università di Siena, 53100 Siena, Italy |
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Abstract: | We present refinement properties of cubic parametric B-splines: a family of functions introduced some years ago in the context of shape-preserving approximation of curves. The refinement equations determine a related subdivision scheme which turns out to be irregular, nonstationary and nonuniform. |
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Keywords: | 41A15 41A29 65D05 |
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