B-Spline Basis Functions

  • Les Piegl
  • Wayne Tiller
Part of the Monographs in Visual Communications book series (VISUALCOMM)

Abstract

Curves consisting of just one polynomial or rational segment are often inadequate. Their shortcomings are:
  • a high degree is required in order to satisfy a large number of constraints; e.g., (n − 1)-degree is needed to pass a polynomial Bézier curve through n data points. However, high degree curves are inefficient to process and are numerically unstable;

  • a high degree is required to accurately fit some complex shapes;

  • single-segment curves (surfaces) are not well-suited to interactive shape design; although Bézier curves can be shaped by means of their control points (and weights), the control is not sufficiently local.

Keywords

Hull Tempo 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Les Piegl
    • 1
  • Wayne Tiller
    • 2
  1. 1.Department of Computer Science and EngineeringUniversity of South FloridaTampaUSA
  2. 2.GeomWare, Inc.TylerUSA

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