Abstract
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 language | English |
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| Pages | 361-372 |
| Number of pages | 12 |
| 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 |