By A. Ardeshir Goshtasby
A definitive and entire assessment of present literature and the main leading edge applied sciences within the box of photo registration. rather well prepared and written. essential for computing device experts.
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Extra info for 2-D and 3-D Image Registration: for Medical, Remote Sensing, and Industrial Applications
Edges determined by the LoG operator with a Gaussian of standard deviation 2 voxels are shown in Fig. 13b. The weakest 70% of the edges have been removed. Canny edges obtained using a Gaussian of standard deviation 2 voxels and interactively removing the weak edges are shown in Fig. 13c. 13d shows edges obtained by the intensity ratios. Again, the standard deviation of the Gaussian smoother was 2 pixels and the weak edges were interactively removed to keep the same number of edges as those found by the Canny method and the LoG operator.
A class of iterative energy minimizing methods proposed by Kass et al.  delineates individual region boundaries. This class of methods, which has proven very effective in segmentation of medical images, has appeared in various forms in both 2-D and 3-D [11, 271, 285, 306, 337]. Many 2-D edge detectors can be easily extended to 3-D. Implementation of the LoG operator in 3-D is described by Bomans et al. . Brejl and Sonka review various 3-D edge detection methods and describe an edge detection method that works with anisotropic data .
The gradient magnitude and gradient direction at each image voxel can then be estimated from the gradient magnitude and gradient direction at (x = 0, y = 0, z = 0) of the function. This process will ﬁnd edges that correspond to image voxels with locally-maximum gradient magnitudes in the gradient direction. Note that since triquadratic functions are ﬁtted to very small neighborhoods, to avoid detection of noisy edges, it is important that the image is smoothed with a Gaussian before carrying out functional approximation.
2-D and 3-D Image Registration: for Medical, Remote Sensing, and Industrial Applications by A. Ardeshir Goshtasby
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