Abstract
Three-dimensional edge detection in voxel images is used to locate
points corresponding to surfaces of 3-D structures, and the local
geometry of these surfaces is characterized in order to extract points
or lines which may be used by registration and tracking procedures.
Typically, second-order differential characteristics of the surfaces
must be calculated. To avoid the problem of establishing links between
3-D edge detection and local surface approximation it is proposed to
compute the curvatures at locations designated as edge points, using the
partial derivatives of the image directly. By assuming that the surface
is defined locally by an iso-intensity-contour, it is possible to
calculate directly the curvatures and characterize the local curvature
extrema (ridge points) from the first, second, and third derivatives of
the gray-level function. These partial derivatives can be computed using
the operators of the edge detection. Experimental results obtained using
real X-ray scanner data are presented
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