Geometrical entity and operation unification for computer-aided design and manufacture
Thesis/Dissertation
·
OSTI ID:5583881
Three major issues faced by the software developer of a CAD/CAM system for the design and manufacturing industries are reducing the development time for a desired level of system capability, making the system expandable, and maintaining a desired tolerance for all geometric operations while simultaneously achieving a minimal memory requirement of operator output. This dissertation presents a completely unified approach to the construction of a geometric modeler for computer aided design and manufacture. The completely unified geometric modeler not only unifies the geometric representation for all geometric entities, but also unifies geometric operations to be performed on those entities, hence the term, Geometrical Entity and Operation Unification. Since Geometrical Entity Unification guarantees the functional equivalence of all geometric entities, geometric operations are performed with equal facility on all entities. With Geometrical Operation Unification, only a very small family of geometric operation procedures need to be coded, where a single operator procedure is able to perform many familiar operations when given various input parameters. The unification of entities and operations achieves the minimum development time with maximum capability and expandability. GEU-maker, the unifying computation engine of every geometric operation, is also presented in this dissertation. The GEU-maker is the single mechanism employed by each geometric operator to compute a result which achieves near minimum representation and which maintains a given tolerance of tau from the true result relative to a minimum-maximum norm.
- Research Organization:
- California Univ., Los Angeles, CA (United States)
- OSTI ID:
- 5583881
- Country of Publication:
- United States
- Language:
- English
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