Sectional contour interpolation using Fourier descriptor

In this study, Fourier descriptor method and energy continuity concept are combined to establish an image deformable model. The deformable model developed in this paper can reconstruct the data of organization structure of a body that is given in three-dimensional sectional images. The reconstructed data can be provided for more medical applications based on a few slices obtained from a set of sectional images. For a more exact and efficient reconstruction of the medical images, the authors' model combines Fourier descriptor, Fourier transform theory, and the energy continuity concept of the image in the frequency domain to analyse and synthesise the object's image information. The Fourier descriptor and its parameterized deformation capture the characteristics of the objects which one wants to present in visualization. The energy continuity concept was introduced into the model to estimate the deformable images that lie between any two known images. The method of this study integrates the spatial coordinates, energy continuity concept and Fourier descriptor to describe the objects for time sequence or spatially related images. So that, the model of this work can estimates the interpolational images that lie between the given images and reconstructs any three-dimensional object efficiently and accurately.