A Class of Totally Positive Blending B-Bases

Abstract

Totally positive blending bases present good shape preserving properties when they are used in CAGD. Among these bases there exist special bases, called B-bases, which have optimal shape preserving properties. In particular, the corresponding control polygon is nearest to the curve among all the control polygons; thus many geometrical properties are similar to the ones of the curve. Examples of totally positive blending B-bases are the Bernstein polynomials and the B-spline basis. Our purpose is to construct new classes of such bases starting from compactly supported totally positive scaling functions.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP012021

Entities

People

  • Francesca Pitolli
  • Laura Gori
  • Laura Pezza

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Blending
  • Coefficients
  • Construction
  • Equations
  • Intervals
  • Polynomials
  • Sequences
  • Technical Information Centers
  • Universities

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Spectroscopy.