Adaptive Polynomial Approximation to Circular Arcs

Abstract:

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We present a new adaptive method for approximating circular arcs in polynomial form by using the s-power series. Circular arcs can be expressed in infinite series form, we obtain the order-k Hermite interpolant by truncating at the kth term. An upper bound on the error of the interpolant is available, so we can obtain the lowest degree polynomial curve that approximates a circular arc within any user-prescribed tolerance. And this degree can be further reduced through subdivision, which generates a spline approximation with Ck continuity at the joints.

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Periodical:

Edited by:

Shaobo Zhong, Yimin Cheng and Xilong Qu

Pages:

678-682

DOI:

10.4028/www.scientific.net/AMM.50-51.678

Citation:

L. Z. Lu "Adaptive Polynomial Approximation to Circular Arcs", Applied Mechanics and Materials, Vols. 50-51, pp. 678-682, 2011

Online since:

February 2011

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Price:

$35.00

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