Interactive free-form deformation for sculpture

An approach for free-form deformation is presented through applying basic functions into the displacement curves. The approach may overcome the constraint in the previous method that a Bezier-shaped displacement reference curve has to be confined into a local hull. As a result, larger deformations with robust computation can be handled in the new approach for any vertex of a given mesh. In the extended curve constraint, the original triangulation and parameterization scheme is replaced with the one based on basic functions by controlling their parameters to generate surface deformations. Meanwhile, a non-uniform deformation technique is introduced by controlling the extension and the magnitude of deformation.