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Refining cubic parametric B-splines
Authors:P. Costantini  C. Manni
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
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.
Keywords:41A15  41A29  65D05
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