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Free-form deformation of solid geometric models
Open accessAbstract
A technique is presented for deforming solid geometric models in a free-form manner. The technique can be used with any solid modeling system, such as CSG or B-rep. It can deform surface primitives of any type or degree: planes, quadrics, parametric surface patches, or implicitly defined surfaces, for example. The deformation can be applied either globally or locally. Local deformations can be imposed with any desired degree of derivative continuity. It is also possible to deform a solid model in such a way that its volume is preserved.The scheme is based on trivariate Bernstein polynomials, and provides the designer with an intuitive appreciation for its effects.
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Cited by
EPnP: An Accurate O(n) Solution to the PnP Problem
Lepetit, V., Moreno-Noguer, F., & Fua, P. (2009) · International Journal of Computer Vision · doi:10.1007/s11263-008-0152-6 · Cited by 3,298
Deformable medical image registration: a survey
Sotiras, A., Davatzikos, C., & Paragios, N. (2013) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2013.2265603 · Cited by 1,587
Terzopoulos, D., Platt, J., Barr, A., & Fleischer, K. (1987) · ACM SIGGRAPH Computer Graphics · doi:10.1145/37402.37427 · Cited by 1,110
Feature-based image metamorphosis
Beier, T., & Neely, S. (1992) · Proceedings of the 19th annual conference on Computer graphics and interactive techniques · doi:10.1145/133994.134003 · Cited by 914
Pose space deformation: a unified approach to shape interpolation and skeleton-driven deformation
Lewis, J. P., Cordner, M., & Fong, N. (2000) · Proceedings of the 27th annual conference on Computer graphics and interactive techniques - SIGGRAPH '00 · doi:10.1145/344779.344862 · Cited by 853
Metadata
- Authors
- Sederberg, T. W., & Parry, S. R.
- Venue
- ACM SIGGRAPH Computer Graphics
- Published
- 1986-08-31
- Volume
- 20
- Issue
- 4
- Pages
- 151-160
- ISSN
- 0097-8930 (ISSN-L)
- OpenAlex
- W2096619076
- Cited by
- 2,577
- References
- 0
- FWCI
- 11.68
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Free-form deformation of solid geometric models. https://app.cochat.ai/papers/10.1145/15886.15903
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- Sederberg, T. W., & Parry, S. R. (1986). Free-form deformation of solid geometric models. ACM SIGGRAPH Computer Graphics. https://doi.org/10.1145/15886.15903
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
