A recursive proof of a B-spline identity for degree elevation

Phillip J. Barry; Ronald N. Goldman

doi:10.1016/0167-8396(88)90030-1

A recursive proof of a B-spline identity for degree elevation

Phillip J. Barry, Ronald N. Goldman

Computer Science and Engineering

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

A short, simple proof for a B-spline degree elevation formula which has appeared in [Micchelli '79] and in [Prautzsch '84] is given. This proof uses only induction and the recursion formula for B-splines, and thus generalizes to more arbitrary recursive schemes.

Original language	English (US)
Pages (from-to)	173-175
Number of pages	3
Journal	Computer Aided Geometric Design
Volume	5
Issue number	2
DOIs	https://doi.org/10.1016/0167-8396(88)90030-1
State	Published - Jul 1988

Keywords

B-splines
degree elevation
recursion

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10.1016/0167-8396(88)90030-1

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abstract = "A short, simple proof for a B-spline degree elevation formula which has appeared in [Micchelli '79] and in [Prautzsch '84] is given. This proof uses only induction and the recursion formula for B-splines, and thus generalizes to more arbitrary recursive schemes.",

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A recursive proof of a B-spline identity for degree elevation

Abstract

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