フィレットのCSG表現法に関する研究 : 二次曲面間相貫線まわりの場合

概要

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This paper presents how to make a solid model of the fillet volume which surrounds the intersection line between two quadratic surfaces. In order to be able to handle the fillet volume in CSG representation method for geometric modeling, Sweep Operation is applied to generate fillet volume. The outline is described below : Two primitive solids with quadratic surfaces, such as cylinder, cone or sphere, are given in a condition of being connected to each other, then their intersection lines are led analytically. 2-D fillet pattern, defined on a sectional plane which crosses the intersection line, is swept along the intersection line. Swept Volume consists of a set of space points which are inside or on the fillet patterns from start to end of sweep. Fillet Volume is generated as a result of swept volume, and can be handled the same as the primitive solids. The algorithm of this work has been implemented in the CAD/CAM system TIPS-1. According to experimental results, it became clear that the work was effective for geometric modeling of an object constructed by quadratic surfaces and fillet volume.
社団法人精密工学会の論文
1987-02-05