Shape parameter deletion for Pólya curves

Phillip J. Barry, Ronald N. Goldman

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)121-137
Number of pages17
JournalNumerical Algorithms
Volume1
Issue number2
DOIs
StatePublished - Jun 1 1991

Keywords

  • Ball's basis
  • Bézier curve
  • Lagrange interpolating polynomial
  • Newton basis
  • Pólya curve
  • Subject classification AMS: 41A10
  • differentiation
  • divided difference
  • evaluation
  • knot insertion
  • monomial basis
  • subdivision
  • transformations
  • variation diminishing property

Fingerprint

Dive into the research topics of 'Shape parameter deletion for Pólya curves'. Together they form a unique fingerprint.

Cite this