The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Free-form shape design using triangulated surfaces
Open accessAbstract
We present an approach to modeling with truly mutable yet completely controllable free-form surfaces of arbitrary topology. Surfaces may be pinned down at points and along curves, cut up and smoothly welded back together, and faired and reshaped in the large. This style of control is formulated as a constrained shape optimization, with minimization of squared principal curvatures yielding graceful shapes that are free of the parameterization worries accompanying many patch-based approaches. Triangulated point sets are used to approximate these smooth variational surfaces, bridging the gap between patch-based and particle-based representations. Automatic refinement, mesh smoothing, and re-triangulation maintain a good computational mesh as the surface shape evolves, and give sample points and surface features much of the freedom to slide around in the surface that oriented particles enjoy. The resulting surface triangulations are constructed and maintained in real time.
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Cites
Golub, G. (2012) · doi:10.56021/9781421407944 · Cited by 34,505
Introduction to Applied Mathematics
Strang, G., & Freund, L. B. (1986) · Journal of Applied Mechanics · doi:10.1115/1.3171799 · Cited by 664
Cited by
Implicit fairing of irregular meshes using diffusion and curvature flow
Desbrun, M., Meyer, M., Schröder, P., & Barr, A. H. (1999) · Proceedings of the 26th annual conference on Computer graphics and interactive techniques - SIGGRAPH '99 · doi:10.1145/311535.311576 · Cited by 1,538
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
Detection of fMRI activation using Cortical Surface Mapping
Andrade, A., Kherif, F., Mangin, J.-F., Worsley, K. J., Paradis, A., Simon, O., Dehaene, S., Bihan, D. L., & Poline, J. (2001) · Human Brain Mapping · doi:10.1002/1097-0193(200102)12:2<79::aid-hbm1005>3.0.co;2-i · Cited by 150
Mixed Finite Elements for Variational Surface Modeling
Jacobson, A., Tosun, E., Sorkine, O., & Zorin, D. (2010) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2010.01765.x · Cited by 63
Metadata
- Authors
- Welch, W., & Witkin, A.
- Venue
- Proceedings of the 21st annual conference on Computer graphics and interactive techniques - SIGGRAPH '94
- Publisher
- ACM Press
- Published
- 1994
- Pages
- 247-256
- OpenAlex
- W2112325291
- Cited by
- 303
- References
- 2
- FWCI
- 3.90
- Type
- conference paper
- Language
- en
- Open access
- bronze
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- Welch, W., & Witkin, A. (1994). Free-form shape design using triangulated surfaces. Proceedings of the 21st annual conference on Computer graphics and interactive techniques - SIGGRAPH '94. https://doi.org/10.1145/192161.192216
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
