IEEE Transactions on Visualization and Computer Graphics
Vector field based shape deformations
ACM SIGGRAPH 2006 Papers
A survey of spatial deformation from a user-centered perspective
ACM Transactions on Graphics (TOG)
Implicit boundary control of vector field based shape deformations
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
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Abstract: Since the introduction of Free Form Deformation (FFD) by Sederberg and Parry in 1986, a great deal of research has been performed in the area of space deformation for 3D shape modeling. However, many techniques do not provide local control, and almost all are non-unique mappings that are capable of producing foldover, making them unsuitable for use with implicit surfaces, or any object that should not self-intersect, and causing some problems for ray tracing. In this paper a new approach to deformation is presented. Blendeforming (Blended Deforming) provides foldover-free deformation with local control, which preserves implicit functions. Blendeformers are reversible deformations that are suitable for use in interactive modeling and ray tracing.