GEOMETRIC MODELING : A First Course

Unambiguous geometric models are potentially capable of supporting fully automatic algorithms for any applications that involve object geometry. However, only a few application algorithms have reached maturity and are routinely used in industry. This chapter discusses currently understood applications in graphics and simulation; massproperty calculation (i.e., volume, moments of inertia); and interference (i.e., collision) analysis. It also touches upon other applications such as planning for inspection and robotics, which are emerging from the research labs. Generally, analysis algorithms are well-developed, whereas synthesis algorithms, which require geometric reasoning, are not.