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A 3D motion vector, defined as the square root of the quadratic sum of motion amplitudes in the transverse, sagittal and coronal directions, was determined for each patient.
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In the case of inter 16 × 16 block mode, the motion activity is calculated by multiplying the sum of the motion vector components by 4, which is the number of 8 × 8 blocks in the 16 × 16 block.
The sum of conjunct motion in the two associated planes was taken to express total conjunct motion for each primary motion.
The VCVs are measured using the sum of absolute motion vectors (SAMV) and the sum of absolute transformed differences (SATD) with 4 × 4-pixel blocks.
The inversion is accomplished through a two-stage grid search procedure which selects the source model by minimizing a normalized weighted sum of first motion polarity discrepancies.
Similarly, on closer inspection a body's being in motion amounts to the fact that the vector sum of the motions of zillions of restless particles, averaged over time, is non-zero, hence it makes no sense to speak of the instant at which a body stops moving (Galton 1994: 4).
The motion of the whole is the same with the sum of the motions of the parts; that is, the translation of the whole, out of its place, is the same thing with the sum of the translations of the parts out of their places; and therefore the place of the whole is the same as the sum of the places as the parts, and for that reason, it is internal, and in the whole body.
Femoral head penetration was analyzed using automated edge-detection algorithms and was measured as the change in proximity between the center of the femoral head and the exterior of the acetabular cup quantified as both proximal migration and a Pythagorean sum of 3-D motion, commonly termed maximum total point motion (MTPM).
In order to increase the signal present in the raw frames, 3-frame sums of the motion corrected particles were calculated, and these sub-sums were individually refined using Frealign again using data between 200 Å and 15 Å.
The total diffusion mass flux for nanoparticles is the last term in the energy equation which is given as a sum of the Brownian motion and thermophoresis terms.
For this task, we use the sum of the local motion contrast all along the detected boundary (square root of difference of optic flow).
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