Graphics Gems V (IBM Version)

IV.2

Identities for the B-Spline Basis Functions

N. Goldman Ronald,     Department of Computer Science Rice University Houston, Texas. E-mail address: [e-mail]

Introduction

The purpose of this gem is to collect in one place those properties and identities of the B-spline basis functions that are most helpful for understanding and investigating B-spline curves and tensor product B-spline surfaces. This gem presents these identities in a consistent framework and may serve both as a compact reference and as a source for additional investigation. Further discussion and proofs of most of these identities can be found in general references books on splines ( Bartels et al. 1987, de Boor 1978, Schumaker 1981). Citations are provided for some ...