We present a method for analysis of nonrigid motion in time sequences of volume images (4D data). In this method nonrigid motion of the deforming object contour is dynamically approximated by a deformable surface. In order to reduce the number of parameters describing the deformation, we make use of modal analysis which provides a spatial smoothing of the surface, and Fourier analysis on time signals of the main deformation spectrum components, which provides a temporal smoothing. Thus, a complex nonrigid deformation displayed in 4D data is described by very few parameters: the main excited spatial modes and the main Fourier harmonics. Therefore, 4D data can be analyzed and compressed in a very efficient way. The power of the approach is illustrated by results on a 4D scan heart data.
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Nastar et al. (2002) studied this question.
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