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It is usually assumed that the attenuation is zero everywhere except in a region between the x-ray source and the detector, for example the shaded region in Fig. 4. Furthermore, it is assumed that the same region can be observed, as a whole, from all viewpoints in order to correctly reconstruct an image. This constraint, however, does not apply to this work except that seeds have to be observed.
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23
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85027232116
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note
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The denominator is always positive and non-null since SAD is always larger than the distance of the seed to the rotation axis. Thus, the whole equation can be multiplied by the denominator.
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note
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In practice, the accumulator is a discrete, rectangular lattice of points, and represented as a 2D bitmap image (as in Fig. 10). The accumulator is computed by backprojecting detected seed traces using Bresenham's algorithm (Ref. 32).
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28
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85027238885
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note
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The only reason to use this type of Hough transform is to eliminate noise and group pieces of curves together. Finding a way to accomplish this using an image processing procedure alone would completely eliminate the need for Hough transform.
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85092678594
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note
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s].
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85027223715
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note
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Due to the lack of documentation for the sinogram files, we were unable to recover the exact SAD distance as well as the exact orientations of the gantry for each viewpoint. Values used for the reconstruction were the nominal values for the scanner.
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