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.

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