Iterative Respacing of Polygonal Curves

09/08/2021

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by   Marcella Manivel, et al.

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A polygonal curve is a collection of m connected line segments specified as the linear interpolation of a list of points {p_0, p_1, …, p_m}. These curves may be obtained by sampling points from an oriented curve in ℝ^n. In applications it can be useful for this sample of points to be close to equilateral, with equal distance between consecutive points. We present a computationally efficient method for respacing the points of a polygonal curve and show that iteration of this method converges to an equilateral polygonal curve.