Volume-preserving free-form solids

Ari Rappoport*, Alla Sheffer, Michel Bercovier

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

31 Scopus citations


The different requirements in geometric modeling were integrated in a single geometric primitive by endowing the tri-variate tensor product free-form solid with several important physical properties, including volume and internal deformation energy. A novel method is described for modeling an object composed of several tensor-product solids while preserving the desired volume of each primitive and ensuring high order continuity constraints between the primitives. The method utilizes the Uzawa algorithm for nonlinear optimization, with objective functions based on deformation energy or least squares.

Original languageAmerican English
Number of pages12
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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