We have some really interesting work from our current students that we’d like to display. However, in order to be fair to their efforts a little bit of background needs to be presented.
Implicit Solid Modeling (ISM) is a function based modeling system that uses one of more implicit equations to model objects. ISM is a rather old idea. Some of the original work was developed by Vladimir Rvachev in the early 60’s. In the early 70’s Antonio Ricci presented a classic paper “A constructive geometry for computer graphics”. Many researchers have worked in this area since the beginning. The advent of widely available computer algebra systems such as Maple, Mathematica ™, and recently Sage have made exploration of function based representations somewhat straight-forward.
We present a brief overview of ISM as a prequel to presenting some our of student’s work.