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Accurate B-spline Free-Form Deformation of Polygonal Objects

Free-form deformation is an important geometric shape modification method in computer animationand geometric modeling. The authors explore it by means of functional composition via shifting operators in thispaper. When the object to be deformed is represented by triangular meshes and the deformation tool is a B-splinevolume, the deformed object can be accurately described as a set of triangular Bezier patches, whose degree is thesum of three directional degrees of the B-spline volume. The proposed method also solves the sample problem offree-form deformation, because free-form deformation acts on triangular meshes rather than points.