Generative geometry as the mathematical basis for the history-based parametric modeling

摘要: Computer-aided design (CAD) relies on two foundations: (1), mathematical theory, especially discrete mathematics; (2), solid representation schemes. The prevalent researches modern CAD systems have been the history?based modeling. There are primary achievements in this area over past decade: one is parametric and feature-based modeling; other constraint-based design. Both brought tremendous development to CAD/CAM applications, facilitated designers update geometric objects with different parameters. However, they approaches that concerned only about of a shape, totally ignored its structural description. Solid modeling nowadays enjoying marvelous progress because accomplishments from computer science field. system providers offer unlimited freedom for display their intents monitor. Obviously, mathematic theory intelligent geometry has lagged behind researches, thus, resulted lack formal depiction history. This research based upon generative geometry, which evolution object was able be described manners logic.