The arc-length and energy of rational Bézier curves

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    Abstract

    Extending earlier work on polynomial Bézier curves, we define approximations to the length and energy of rational Bézier curves. The approximations are defined directly in terms of the control points and we investigates how the approximations behave under subdivision. The approximation to the arc-length form the basis for a fast recursive and adaptive algorithm which calculates the arc-length of a rational Bézier curve.
    Original languageEnglish
    Number of pages11
    Publication statusPublished - 1997

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