Three Dimensional Strain Field Morphing

In this paper, we present a new technique for 3D shape morphing using strain fields. Strain is an important geometric quantity used in mechanics to describe the deformation extent of objects. We use it to analyze and control deformation in morphing. Using the position vector field, the strain field between source and target shapes can be obtain. This strain field is then interpolated between zero and its final value to give the position field for intermediate shapes. This method ensures that the 3D morphing process is smooth and no shape jittering or wobbling happens, and that locally, volumes suffer minimal distortion. We also show how to modify the method so that changes of shape (in particular, lengths) vary linearly with time.