Shape interpolation using Fourier descriptors with application to animation graphics

Abstract We propose a way to generate a sequence of closed curves leading from an initial curve to a final one, making use of Fourier descriptors. In order to ensure a good closure of intermediary shapes, we have to pay attention to the definition of these descriptors. The change between successive shapes can be fully controlled through the frequency content of these shapes; many parameters are at the disposal of the user providing a great flexibility in the use of this method. We illustrate the variety of possibilities with three examples of interpolation algorithms.