Abstract
A new approach is presented to extract differential
characteristics of surfaces in 3-D images from the second partial
derivatives of the grey level function provided by separable recursive
filters. The basic idea is to consider a 3-D image as a hypersurface in
R4 and to express the curvatures of the surface with
the curvatures of the hypersurface. This yields a very compact and
efficient approach where filtering is used for both edge detection and
curvature extraction. Experimental results on real data can be compared
with more classical approaches. It is noted that smoothing in the
fourth-dimensional space could be more efficient than smoothing in the
three-dimensional space
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