Fast global and partial reflective symmetry analyses using boundary surfaces of mechanical components

Abstract

Axisymmetry and planar reflective symmetry properties of mechanical com-ponents can be used throughout a product development process to restruc-ture the modeling process of a component, simplify the computation of tool path trajectories, assembly trajectories, etc. To this end, the restructured ge-ometric model of such components must be at least as accurate as the manu-facturing processes used to produce them, likewise their symmetry properties must be extracted with the same level of accuracy to preserve the accuracy of their geometric model. The proposed symmetry analysis is performed on a B-Rep CAD model through a divide-and-conquer approach over the bound-ary of a component with faces as atomic entities. As a result, it is possible to identify rapidly all global symmetry planes and axisymmetry as well as local symmetries. Also, the corresponding algorithm is fast enough to be inserted in CAD/CAM operators as part of interactive modeling processes

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