C2 Hermite interpolation by Minkowski Pythagorean hodograph curves and medial axis transform approximation

Computer Aided Geometric Design, pp. 631-643, 2010.

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input dataminkowski space rnew algorithmc2 hermite interpolationmedial axisMore(10+)

Abstract:

We describe and fully analyze an algorithm for C^2 Hermite interpolation by Pythagorean hodograph curves of degree 9 in Minkowski space R^2^,^1. We show that for any data there exists a four-parameter system of interpolants and we identify the one which preserves symmetry and planarity of the input data and which has the optimal approxima...More

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