It is suggested to use indirect information in machine contouring by means of power potential polynomials as a basic geometrical tool. Unlike other methods, the problem in the new approach is formulated in terms of an information-geometric model free from the mechanical analogies. Interpolation of scattered data does not require approximating procedures, and the basis functions intrinsically minimize the complexity of the contoured surfaces. This allows avoiding labor-consuming explicit variational solutions to ill-posed problems. The new algorithm was successfully used in structural mapping of buried surfaces.
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