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General Distortion of an Ensemble of Biparametric Surfaces
Distorts embedded shapes by trapping them in a triparametric Bernstein lattice and warping that lattice, the embed-and-warp idea later formalized as free-form deformation.
How to read this
- Category
- Foundational method: an early free-form deformation precursor (shape distortion via an embedding lattice)
- Contributions
- Distorts a numerically defined object by embedding it in an auxiliary triparametric (3D) lattice of control points
- Warps that lattice with Bernstein polynomials and maps the embedded surfaces through the distorted parametric volume
- Anticipates the embed-and-warp paradigm that free-form deformation formalized eight years later
- Context
- A root of the deformation lineage with no prior archive context; it seeds the embed-and-warp idea that free-form deformation later generalized and that countless rig deformers inherited.
- Correctness
- Sound as a conceptual demonstration from CAD practice; it is a short technical note rather than a rigorous derivation, so treat it as the origin of the idea more than a complete method.
- Clarity
- Brief and high level; the lattice-distortion concept reads quickly, but the note predates the cleaner trivariate Bernstein formalism that free-form deformation would give it.
- How to read it
- Read it for one idea: trap a shape inside a control-point volume and let it follow as the volume bends. A single pass is enough; go to free-form deformation for the worked-out math.
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