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Higher Order Derivatives of a Rational Bézier Curve

✍ Scribed by Guo-Zhao Wang; Guo-Jin Wang

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
212 KB
Volume
57
Category
Article
ISSN
1077-3169

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✦ Synopsis

In this paper, a convenient and effective recurrence formula for the higher order derivatives of a rational degree (n) Bézier curve is derived. The (\operatorname{sth}(s=1,2, \ldots))-order derivatives of this curve can be represented as a fraction whose numerator is a vector expression of degree ((s+1)(n-1)) and denominator is a polynomial of degree ((s+1) n), or represented as a rational degree ((s+1) n) Bézier curve. Four examples indicate that the formula for investigating geometric properties of rational Bézier curves is more useful than the usual method. O 1995 Academic Press, Inc.

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