Abstract
Geometric modeling deals with the representation and manipulation of geometric objects in a computer. The foundations of geometric modeling are set by the definition of the concepts model, modeling scheme, representation and representation scheme, and by the study of their abstract properties. These foundations determine the type of questions which are being asked, hence in a sense are of greater importance than the study of specific answers to known questions. The paper introduces definitions for these concepts which enable the formalization of important properties as functionality enhancement, functionality diminution, functional dominance and expressive dominance in modeling spaces and valid lossy, explicit and potentially lossless modeling schemes.
| Original language | English |
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| Pages | 31-41 |
| Number of pages | 11 |
| State | Published - 1995 |
| Event | Proceedings of the 3rd Symposium on Solid Modeling and Applications - Salt Lake City, UT, USA Duration: 17 May 1995 → 19 May 1995 |
Conference
| Conference | Proceedings of the 3rd Symposium on Solid Modeling and Applications |
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| City | Salt Lake City, UT, USA |
| Period | 17/05/95 → 19/05/95 |