2014•Bulletin of Bryansk state technical universityOpen access

Calculating a point on the parametric surface closest to the specified point for the tasks of geometrical shape control.

P. I. Nikolaev, P. M. Nikolaev

Abstract

An algorithm for the calculation of a point on the parametric surface closest to a given point is presented. The algorithmic based on an iterative cycle. As an initial approximation the surface scanning with a defined step is used. To optimizes canning the dimensional checks is proposed to use.

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Key concepts: Parametric surface, Point (geometry), Parametric statistics, Surface (topology), Iterative closest point, Control point, Algorithm, Mathematics