By A. Ardeshir Goshtasby
A definitive and accomplished assessment 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 resources for 2-D and 3-D Image Registration: for Medical, Remote Sensing, and Industrial Applications
44) x=−1 y=−1 where f (x, y) denotes the intensity at (x, y). To ﬁnd parameters a through f that minimize E2 , we ﬁnd partial derivatives of E2 with respect to the parameters, set them equal to zero, and solve the obtained system of linear equations. 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.
On the other hand, an image containing a complex scene with nonhomogeneous objects may produce a bimodal histogram. Pixels in an image can be randomly rearranged without changing the histogram of the image. Therefore, the intensity at the valley between the two modes in a bimodal histogram may not segment an image properly. A better approach will be to use gradient information to select pixels that belong to region boundaries and use intensities of those pixels to determine the threshold value.
5 1]. The position of the intensity edge is at the third point, while the position of the property edge is at the ﬁfth point. The intensity ratio method not only produces edges that are more representative of discontinuities in surface properties compared to the intensity difference method, but it also produces edges that are less sensitive to noise. Since noise is usually additive, IMAGE SEGMENTATION 25 in a homogeneous area where intensity variations are mainly due to noise, the output from operator Dx will be mostly due to noise, while the output from operator Rx will depend on the noise as well as the signal.
2-D and 3-D Image Registration: for Medical, Remote Sensing, and Industrial Applications by A. Ardeshir Goshtasby