測定点群のパラメータ曲面あてはめに関する研究

概要

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During automobile body design, the designer's intentions are initially represented in the form of a physical model, where feature lines are first drawn on a clay model, and points are then digitized using CMM (Coordinate Measurement Machine) and fitted to parametric curves and surfaces. This provides the master mathematical model for car styling. In this paper, using the variational principle, a general surface smoothing scheme is proposed to fit the grid points, boundary points and scatter points to the smoothness parametric surface. It has been a long standing research problem to smooth scatter data points to surface. Some methods had been proposed to do it using radial functions, partial derivative equation, integral equation or the triangular parametric surface form. However our method is using the squared parametric surface form. A variety of curves and surfaces with different smoothness can be obtained with the aid of parameters such as approximation and smoothness weights, segment or patch numbers and the distribution of approximation and smoothness weights. A car body was finished to show the usefulness of this proposed method.
1997-12-25