Abstract—The purpose of this work is to present a method for rigid registration of medical images using 1D binary projections when a part of one of the two images is missing. We use 1D binary projections and we adjust the projection limits according to the reduced image in order to perform accurate registration. We use the variance of the weighted ratio as a registration function which we have shown is able to register 2D and 3D images more accurately and robustly than mutual information methods. The function is computed explicitly for n=5 Chebyshev points in a [-9,+9] interval and it is approximated using Chebyshev polynomials for all other points. The images used are MR scans of the head. We find that the method is able to register the two images with average accuracy 0.3degrees for rotations and 0.2 pixels for translations for a y dimension of 156 with initial dimension 256. For y dimension 128/256 the accuracy decreases to 0.7 degrees for rotations and 0.6 pixels for translations. In this context, the motivation is the need to produce a well engineered registration system of methods for 3D-3D rigid body registration (volume and projection based), 2D- 3D registration and non-rigid body registration. II. METHOD The images used are MR scans of the head. We crop one of the two scans at two different levels and we perform registration experiments of the full scan which is T2 weighted to the cropped scans which are proton density. We cut the noise using thresholding and a threshold of 40. The images show in figure 1. Keywords—binary projections, image registration, reduced dimension images. I
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