Crest Lines and Other Geometric Features

An alternative to using pre-segmented surfaces is to use distinctive surface features defined by their local geometry. Using the tools of differential geometry it is possible to define two principal curvatures of a surface in 3D space. A crest line is an indication of a ridge in the surface and is defined as the loci of points where the value of the largest curvature is locally maximal in its principal direction [35]. Registration between two images proceeds by applying the ICP algorithm to these crest lines. Gueziec et al. [36] have proposed using hash tables of geometric invariants for each curve together with the Hough transform and a modified ICP algorithm. These methods, while useful for intramodality registration of high-resolution images, are less applicable to lower-resolution PET images.

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