Geometric modeling: A new fundamental framework and its practical implications

Ari Rappoport*

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

7 Scopus citations


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 languageAmerican English
Number of pages11
StatePublished - 1995
EventProceedings of the 3rd Symposium on Solid Modeling and Applications - Salt Lake City, UT, USA
Duration: 17 May 199519 May 1995


ConferenceProceedings of the 3rd Symposium on Solid Modeling and Applications
CitySalt Lake City, UT, USA

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