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We present a new method for generating a d-dimensional simplicial mesh
that minimizes the Lp-norm,
p > 0, of the interpolation error or its gradient. The method
uses edge-based error estimates to build a tensor metric. We describe and analyze the
basic steps of our method
To reconstruct an even Borel measure on the unit sphere from finitely many values of its sine transform a least square estimator is proposed. Applying results by Gardner, Kiderlen and Milanfar we estimate its rate of convergence and prove strong consistency. We close this paper by giving an estimator for the directional distribution of certain three-dimensional stationary Poisson processes of convex cylinders which have applications in material science.
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