曲面干渉におけるすべての交線ループの自動的な検出手法

概要

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Since an intersection curve of two surfaces can be traced from a point on the curve using established methods, problems of determining all the starting points each of which belongs to the respective isolated intersection curves of two surfaces are treated. Methods developed here include detection of possibility of the critical case where two surfaces just contact. In this paper, two techniques for the detection are introduced. One is a pure theoretical approach and the other is a semi-theoretical but practical and efficient method. In the pure theoretical approach, all the singular points on intersection curves of two surfaces, one of which is translated along a definite direction, are searched. In the practical method, instead of the translation of one surface, all the probable point-pair of the initial approximate points for intersection curves are searched with efficient convergence to true points on the intersections. Examples for complicated shapes are shown.
社団法人精密工学会の論文
1991-09-05