REALIZABILITY IN COMPUTER-AIDED-DESIGN

Mathematical representation, graphics rendering and physical realization of a shape constitute three important aspects of any computer-based design and manufacturing process. Parametric representation of shapes has been found to be suitable from graphics rendering as well as engineering analysis considerations. However, from the view point of design for manufacturing a shape, it has been found that additional geometric considerations need to be taken into account. The present paper outlines two such models, viz., the conjugate geometry and the intrinsic geometry models. It has been shown that conjugate geometry can be used to model several different machining processes. The intrinsic geometry model seems to hold considerable potential to model metal forming processes. Mathematical details of conjugate geometry and intrinsic geometry have been discussed with the help of a few illustrative examples.