フィレットのCSG表現法に関する研究 : 平面間稜線と頂点まわりの場合

概要

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This paper presents how to make a solid model of the fillet volume for rounding corners such as vertices or edges. In order to be able to handle the fillet volume in CSG representation for geometric modeling, Sweep Operation is applied to generate the fillet volume. The outline is described below : 2-D Fillet Pattern, Spine, Sweep Axis and the object which is constructed by cubic primitive solids, are given. Then the fillet pattern, defined on a sectional plane which is normal to the spine, is swept along the sweep axis. 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 added to the object for modeling of final shape with corner rounding. The algorithm of this work has been implemented in the CAD/CAM system TIPS-1. According to experimental results, it is clear that the work is effective for geometric modeling of an object being constructed by cubic primitive solids and fillet volume.
社団法人精密工学会の論文
1988-01-05