Volume morphing by Fourier transform

Abstract

We describe a new morphing technique using the Fourier transform. Two-dimensional (2-D) or three-dimensional (3-D) models are Fourier-transformed and the intensities of the transformed patterns are superposed and clipped, resulting in a blending pattern of two models. Morphing by the simple interpolation yields an interesting result between the models, but difficulty can arise if the models are composed of dominant higher frequency components. We therefore propose a new method, where the morphing of two models is done after dividing a higher-frequency dominant model into two lower-frequency dominant models. The morphing experiment was conducted to show the validity of the proposed methods using simple 2-D and 3-D models.