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Refining cubic parametric B-splines

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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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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma ``Tor Vergata'', 00185, Rome, Italy

    C. Manni

  2. Dipartimento di Sc. Matematiche ed Informatiche, Università di Siena, 53100, Siena, Italy

    P. Costantini

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  1. P. Costantini
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  2. C. Manni
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Correspondence to P. Costantini.

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Costantini, P., Manni, C. Refining cubic parametric B-splines. Computing 79, 291–299 (2007). https://doi.org/10.1007/s00607-006-0205-z

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  • DOI: https://doi.org/10.1007/s00607-006-0205-z

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