Abstract
In this paper, we present a <TEX>$C^3$</TEX> quartic B-spline approximation of circular arcs. The Hausdorff distance between the <TEX>$C^3$</TEX> quartic B-spline curve and the circular arc is obtained in closed form. Using this error analysis, we show that the approximation order of our approximation method is six. For a given circular arc and error tolerance we find the <TEX>$C^3$</TEX> quartic B-spline curve having the minimum number of control points within the tolerance. The algorithm yielding the <TEX>$C^3$</TEX> quartic B-spline approximation of a circular arc is also presented.
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Schedule a callMore From: Journal of the Korea Society for Industrial and Applied Mathematics
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