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The rotational motion was extracted automatically from the video image using homemade image processing software on a PC. Figure 2 shows the relationship between the rotation speed of four different randomly chosen F1-beads and the mean velocity um, and the estimated near-surface velocity uF.

Tissue motion was extracted using the two-step particle image velocimetry (PIV) algorithm [35].

The myocardial motion was extracted from the 3D tagged MRI images using the algorithm described in Sect.

The eye motion was extracted from the TSLO images in real-time as described by Yang et al. [ 35] and Sheehy et al. [ 32].

Synthetic 3D tags were then generated from the resulting deformation, and the myocardial motion was extracted and propagated on a mesh.

Myocardial motion was extracted from 3D tagged and in- silico tagged images (step "MOTION TRACKING" in Fig. 1) using the Image Registration Toolkit. 1 This software uses a nonrigid registration technique proposed by Rueckert et al. (1999); Schnabel et al. (2001) and subsequently extended to tracking of cardiac motion (Chandrashekara et al. 2004; Shi et al. 2012).

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The governing equations of motion are extracted using Hamilton's principle and sinusoidal shear deformation theory.

The direction of motion is extracted by calculating a measurement for phase that is then combined across all speed-related measures: phase = arctan s ̆ ∥ + ŝ ∥ sin θ + s ̆ ⊥ + ŝ ⊥ cos θ s ̆ ∥ + ŝ ∥ cos θ − s ̆ ⊥ + ŝ ⊥ sin θ (11).

etot is defined in the text; (c) azimuths of the eigenvectors; (d) right and left particle motion are extracted from P-, and surface, wave arrivals in the green and orange time windows, respectively.

The direction of motion is extracted by calculating a measurement of phase that is combined across all speed related measurements, since they are in phase: phase = arctan s ̆ ∥ + ŝ ∥ sin θ + s ̆ ⊥ + ŝ ⊥ cos θ s ̆ ∥ + ŝ ∥ cos θ − s ̆ ⊥ + ŝ ⊥ sin θ (10).

Our characterization of ON DS cells may provide insights into how information about the direction of image motion is extracted in the retina, conveyed to the brain, and utilized for the production of the OKR in vertebrates.

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