Chapter 20

Solid Modeling

Vadim Shapiro

Solid modeling is a consistent set of principles for mathematical and computer modeling of three-dimensional solids. The collection evolved over the last thirty years, and is now mature enough to be termed a discipline. Its major themes are theoretical foundations, geometric and topological representations, algorithms, systems, and applications.

Solid modeling is distinguished from other areas in geometric modeling and computing by its emphasis on informational completeness, physical fidelity, and universality. This article revisits the main ideas and foundations of solid modeling in engineering, summarizes recent progress and bottlenecks, and speculates on possible future directions.


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