Interpolating patches between cubic boundaries
The authors describe the theoretical frame for a method of creating and describing rounded objects of arbitrary topology in CAD, as well as it implementation for UNIGRAFIX, a polygon-based modeler developed at U.C. Berkeley that generates black-and-white, smooth-shaded images on several output devices. The mathematical foundation for building triangular patches interpolating cubic edges and blending with geometric continuity is given, and various approaches are discussed. To represent curvature information, they extended the UNIGRAFIX language to UNICUBIX and they implemented uci, an interactive shell that interprets a UNICUBIX description and converts it into UNIGRAFIX wireframes or polyhedral nets that approximate curved patches. Uci also provides a prototype of a global smoothing operation that takes a polyhedral object of arbitrary topology and creates the UNICUBIX representation of a smooth object interpolating the input vertices.
- OSTI ID:
- 5384612
- Country of Publication:
- United States
- Language:
- English
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