Proceedings PaperNew approach to optimal 3D object surface matching
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This paper describes a method of optimal 3-D object surface representation used for feature- based parametric matching. First, the spatial and frequency domain methods are presented for the determination of an optimal grid spacing for 3-D object surface representation. The spatial domain approach is based on the measurement of the total variations of the object surface function, f(x,y), in the constant x and constant y planes. The frequency domain approach utilizes the Nyquist criterion and an ideal 2-D rectangular low-pass filter in an iterative operation. Two error criteria are defined based on the magnitude and shape features of f(x,y) as the measure of effectiveness of the optimal grid spacing for 3-D object surface representation. Second, a parametric matching is devised as a second order mapping function which maps the boundary features of f(x,y) in the cross section planes of the object and model surfaces.