The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Deformable curve and surface finite-elements for free-form shape design
Open accessAbstract
The finite element method is applied to generate primitives that build continuous deformable shapes designed to support a new free-form modeling paradigm. The primitives autonomously deform to minimize an energy functional subject to user controlled geometric constraints and loads. The approach requires less user input than conventional free-form modeling approaches because the shape can be parameterized independently of the number of degrees of freedom needed to describe the shape.Both a curve and a surface finite element are developed. The properties of these geometric primitives have been engineered to support an interactive three phase approach for defining very fair free-form shapes as found in automobiles, ship hulls and car bodies. The shape's character lines or folds and edges are defined with deformable curve segments. These character lines are then "skinned" with a deformable surface. The final shape is sculpted interactively by applying loads to the surface to control the surface shape between character lines. Shapes created with this technique enjoy the advantage that they are already meshed for further finite element analysis.
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Cites
Kass, M., Witkin, A., & Terzopoulos, D. (1988) · International Journal of Computer Vision · doi:10.1007/bf00133570 · Cited by 17,070
Zienkiewicz, O. C. (1989) · Cited by 14,802
Curves and Surfaces for Computer Aided Geometric Design--A Practical Guide.
Bajaj, C., & Farin, G. (1990) · Mathematics of Computation · doi:10.2307/2008458 · Cited by 2,123
Curves and Surfaces for Computer-Aided Geometric Design
(1993) · Elsevier eBooks · doi:10.1016/c2009-0-22351-8 · Cited by 2,037
Terzopoulos, D., Platt, J., Barr, A., & Fleischer, K. (1987) · Proceedings of the 14th annual conference on Computer graphics and interactive techniques · doi:10.1145/37401.37427 · Cited by 1,693
Introduction to applied mathematics.
(1986) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(86)90036-4 · Cited by 1,495
Terzopoulos, D., Platt, J., Barr, A., & Fleischer, K. (1987) · ACM SIGGRAPH Computer Graphics · doi:10.1145/37402.37427 · Cited by 1,110
Saunders, H. (1980) · The Shock and Vibration Digest · doi:10.1177/058310248001201106 · Cited by 532
Cited by
Reverse engineering of geometric models—an introduction
Várady, T., Martin, R. R., & Cox, J. (1997) · Computer-Aided Design · doi:10.1016/s0010-4485(96)00054-1 · Cited by 1,116
As-rigid-as-possible shape manipulation
Igarashi, T., Moscovich, T., & Hughes, J. F. (2005) · ACM Transactions on Graphics · doi:10.1145/1073204.1073323 · Cited by 675
Interactive multi-resolution modeling on arbitrary meshes
Kobbelt, L., Campagna, S., Vorsatz, J., & Seidel, H.-P. (1998) · Proceedings of the 25th annual conference on Computer graphics and interactive techniques - SIGGRAPH '98 · doi:10.1145/280814.280831 · Cited by 655
An anthropometric face model using variational techniques
DeCarlo, D., Metaxas, D., & Stone, M. (1998) · Proceedings of the 25th annual conference on Computer graphics and interactive techniques - SIGGRAPH '98 · doi:10.1145/280814.280823 · Cited by 327
Shape transformation using variational implicit functions
Turk, G., & O'Brien, J. F. (1999) · Proceedings of the 26th annual conference on Computer graphics and interactive techniques - SIGGRAPH '99 · doi:10.1145/311535.311580 · Cited by 281
Metadata
- Authors
- Celniker, G., & Gossard, D.
- Venue
- Proceedings of the 18th annual conference on Computer graphics and interactive techniques
- Publisher
- ACM
- Published
- 1991-07
- Pages
- 257-266
- OpenAlex
- W2005703344
- Cited by
- 340
- References
- 8
- FWCI
- 19.58
- Type
- conference paper
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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