Scheduled Fourier volume morphing

We describe an easily implemented and computationally feasible method for smoothly transitioning from one sampled volumetric model to another. This induces a transition between isosurfaces of the two models. The technique is based on interpolating smoothly between the Fourier transforms of the two volumetric models and then transforming the results back. A linear interpolation between the transformed datasets yields unsatisfactory results in some cases. We use a schedule for the interpolation in which the high frequencies of the first model are gradually removed, the low frequencies are interpolated to those of the second, and the high frequencies of the second model are gradually added in. Such scheduling yields more satisfactory results. We give several examples and comment briefly on preprocessing models to make the morphing smoother.