Abstract

A method is presented for interpolating bivariate scattered data based upon a minimum norm network. This new method is related to Nielson's minimum norm network and to Pottmann's generalization of that method. The shape of the resulting C 2 interpolant is controlled parametrically. Examples are given showing how the surface responds to changes in the control parameter. To illustrate the results, curvature plots as well as shaded images of the interpolants are given.

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