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Shape parameter deletion for Pólya curves

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Abstract

We present a simple change of basis technique for transforming one type of Pólya curve to another closely related Pólya curve form. Repeated use of this method yields algorithms for transforming one arbitrary Pólya form to another, as well as algorithms for evaluating, subdividing, and differentiating Pólya curves. These procedures can be applied to almost all Pólya curves, including Bézier curves and Lagrange interpolating polynomials.

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Authors and Affiliations

  1. Computer Science Dept., Univ. of Minnesota, 55455, Minneapolis, Minnesota, U.S.A.

    Phillip J. Barry

  2. Computer Science Dept., Rice University, 77251, Houston, Texas, U.S.A.

    Ronald N. Goldman

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  1. Phillip J. Barry
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  2. Ronald N. Goldman
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Communicated by C.A. Micchelli

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Barry, P.J., Goldman, R.N. Shape parameter deletion for Pólya curves. Numer Algor 1, 121–137 (1991). https://doi.org/10.1007/BF02142317

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  • DOI: https://doi.org/10.1007/BF02142317

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