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(A) Step 2 of MOTIF-EM (Fig. 1A), LRD or gradient histogram construction, mimicked in 2D. The principal direction (x-axis) of the reference frame of a grid point around po is first re-expressed in po's reference frame and then stored in the bin (of the gradient histogram) representing the direction closest to the re-expressed one. The magnitudes of the stored gradients in a bin are summed up to obtain a numerical value for each bin [reflected in the length of the directions in (c)].
