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Far East Journal of Electronics and Communications

Far East Journal of Electronics and Communications
Volume 18, Issue 3, Pages 393 - 405 (April 2018)
http://dx.doi.org/10.17654/EC018030393

BEST OCTIC APPROXIMATION OF CIRCULAR ARCS WITH SEVENTEEN EQUIOSCILLATIONS

Abedallah Rababah

Abstract:

A polynomial approximation of degree 8 for a circular arc is considered. This octic approximation is set so that the error function is of degree 16 with the least deviation from the x-axis. The error function equioscillates 17 times rather than 10 times that are mathematically guaranteed by the Borel and Chebyshev theorems.

Keywords and phrases:

Bézier curves, octic approximation, circular arc, equioscillation, CAD.

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