INTEGRATING CURVES AND SURFACES IN B-REP SOLID MODELLERS USING TOPOLOGICAL INFORMATION

TL;DRAbstract

Historically, the representation techniques are classified in two groups: Solid Modelling and Geometric Modelling. Recently, in some commercial CAD systems, where Geometric Modelling techniques are combined with Solid Modelling techniques to represent computer models, the final model is not assured to be a valid Solid Model. In this article a new data structure will be defined to support the representation of curves and surfaces in B-Rep solid models. This new data structure will support synchronization between the geometry of the Geometric Model and an approximated polyhedral Solid Model. An approximated polyhedral Solid Model is obtained allowing the calculation of mass properties using several existent algorithms in the literature. And it will be possible to reduce the approximated polyhedral for a minimum representation whenever necessary. The face, in commercial Solid Modelers, has two functions: it represents the boundary of the solid and represents the geometrical shape of the c

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