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Slide 18 of 42

The histogram volume is the tool we use for this. As the name might imply, its just a three dimensional histogram, with the axes f, f' and and f''. Each bin in the histogram volume corresponds to a combination of small ranges of values in each of those axes. Calculating a histogram volume is really simple. At each voxel in the original image, you measure f, f', and f''; you find the corresponding bin in the histogram volume, and then you increment its value by one. That's it. It's pretty simple.