曲面間交線の微分方程式による記述とその追跡 : 様々な曲面間の交線の記述

概要

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A new approach for tracing surface/surface intersection curves is described. It is based on an idea that intersection curves can be described by ordinary differential equations, which can be traced numerically by recent methods of differential equation solving with automatic stepwise control. In the intersection calculation, the method proposed in this paper can be applied to any combination of surfaces including their offset surfaces, whose representations are parametric and/or implicit. The differential equations of intersection curves for various representation of the surfaces are deduced, and examples of the intersection calculations, which include detrmination of cutter paths and fillet surfaces by rolling ball blending, are also shown.
社団法人精密工学会の論文
1991-08-05