Free-form deformation of solid geometric models

@article{Sederberg1986FreeformDO,
  title={Free-form deformation of solid geometric models},
  author={Thomas W. Sederberg and Scott R. Parry},
  journal={Proceedings of the 13th annual conference on Computer graphics and interactive techniques},
  year={1986}
}
  • T. Sederberg, S. Parry
  • Published 31 August 1986
  • Geology
  • Proceedings of the 13th annual conference on Computer graphics and interactive techniques
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… 
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References

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Free-form deformation in a constructive solid geometry modeling system
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A new approach to free-form design methods for solid geometric modeling based on trivariate Bernstein polynomials is examined, which can be used with any existing solid modeling scheme such as constructive solid geometry or boundary representation.
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