MODELING SCULPTURED SOLIDS IN COMPUTER-AIDED-DESIGN
A geometric modelling technique for designing sculptured solid objects is presented. Solids are represented using parametric tricubic B-splines as basis. The modelling scheme is essentially based on cell decompositions, with each variably sized cell bounded by tricubic B-spline curves. A solid generated is a union of quasi-disjoint cells. An algorithm has been developed which identifies each cell to facilitate applications such as computation of volume, moment of inertia and solid finite element mesh generation.
geometric modeling b-splines solid finite element mesh generation sculptured solid representation volume and moment of inertia computations cad cam