June 1995
Intermediate to advanced
438 pages
10h 53m
English
Content preview from Graphics Gems V (IBM Version)
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IV.2
Identities for the B-Spline Basis Functions
N. Goldman Ronald, Department of Computer Science Rice University Houston, Texas. E-mail address: rng@cs.rice.edu
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 ...
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