Accurate Free-Form Deformation of Bézier Surfaces
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Abstract
To process with free-form deformation,a Bézier surface is embedded into a tetrahedron.The new surface is the composition of a tensor product Bézier surface and a tetrahedral Bézier volume.The composted surface is a Bézier surface whose control points can be got using shifting operators and de Casteljau algorithm.Finally,the formula to calculate the order2and3free-form deformation of the rectangle mesh are given.
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