By A. Ardeshir Goshtasby
A definitive and entire evaluate of present literature and the main innovative applied sciences within the box of picture registration. rather well equipped and written. a must have for desktop experts.
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Extra info for 2-D and 3-D Image Registration: for Medical, Remote Sensing, and Industrial Applications
47) which produces the following solution: a = (5B1 − 3B5 − 3B6 )/9; c = B3 /6; e = B5 /2 − B1 /3; b = B2 /6; d = B4 /4; f = −B1 /3 + B6 /2. 48) describe coefﬁcients a–f in terms of the intensities of the pixels within a 3 × 3 window. 49) Sy (x, y) = c + dx + 2f y. 50). Doing so, we obtain Sx = b and Sy = c. Therefore, gradient magnitude and gradient direction at the center of the patch are √ b2 + c2 and tan−1 (c/b), respectively. 52) the Laplacian of the patch is obtained from Sxx (x, y) + Syy (x, y) = 2(e + f ).
The original image is shown in Fig. 14a and the obtained edges are shown in Fig. 14c. The luminance component of the color image obtained by averaging the red, green, and blue components is shown in Fig. 14b, and edges of the luminance image obtained by locating locally maximum gradients in the gradient direction are shown in Fig. 14d. We see that color edges pick up sharp changes in chroma in addition to sharp changes in luminance. Color edges separate adjacent regions with signiﬁcant color differences.
A biquadratic patch is ﬁtted to intensities in a 3 × 3 neighborhood centered at each pixel by the least-squares IMAGE SEGMENTATION (a) (b) (c) (d) 31 Fig. 11 (a) A Landsat TM image. (b) Edges detected by curve ﬁtting using gradient threshold 10, minimum branch length 10 pixels, and σ = 2 pixels. (c) The edges are overlaid with the image to evaluate the quality of detected edges. (d) Edges detected by the LoG operator with gradient threshold 10 and σ = 2 pixels. method. Since the shape of a patch is independent of the position of the 3 × 3 window and depends only on the intensity arrangements in it, the window is assumed to be centered at (0, 0).
2-D and 3-D Image Registration: for Medical, Remote Sensing, and Industrial Applications by A. Ardeshir Goshtasby