The Total Squared Curvature of Curves and Approximation by Piecewise Circular Curves
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説明
For a smooth curve in the Euclidean spaces, the total squared curvature is defined as the integral of the square of the curvature. If one takes three points on the curve which are close to one another, the reciprocal of the radius of the circle passing through those points approximates the curvature. We use this to approximate the total squared curvature and study its convergence rate.
収録刊行物
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- Results in Mathematics
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Results in Mathematics 64 215-228, 2013-04-13
Springer Science and Business Media LLC