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Arc lengths of rational Pythagorean–hodograph curves
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https://doi.org/10.1016/j.cagd.2015.03.007Abstract
In a recent paper (Lee et al., 2014) a family of rational Pythagorean-hodograph (PH) curves is introduced, characterized by constraints on the coefficients of a truncated Laurent series, and used to solve the first-order Hermite interpolation problem. Contrary to a claim made in this paper, it is shown that these rational PH curves have rational arc length functions only in degenerate cases, where the center of the Laurent series is a real value.
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