Global Radii of Curvature, and the Biarc Approximation of Space Curves: in Pursuit of Ideal Knot Shapes

Abstract

The distance from self-intersection of a (smooth and either closed or infinite) curve q in three dimensions can be characterised via the global radius of curvature at q(s), which is defined as the smallest possible radius amongst all circles passing through the given point and any two other points on the curve. The minimum value of the global radius of… (More)

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