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Because we only used four neighbors of the focused pixel, only four rotation angles (i.e., φ=0°,90°,180°,270°) are available for computing rotation invariant statistics as shown in Fig. 2 (i.e., four equivalent WLTP pairs).
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Then, the scale parameter is computed with computed rotation matrix.
Lastly, the translation parameters are computed with computed rotation matrix and scale parameter.
Thus, the large reflectivity differences of checkerboards allow to compute rotation and translation between the coordinate systems of both sensors.
This paper evaluates the performance of an RGB-D sensor (e.g., Kinect sensor) as a motion capture system based on the accuracy in estimated 3D positions and computed rotation angles, and the sensor's impact on action recognition.
Minimizing δ is hard, due to the intrinsic difficulty of computing the rotation distance.
The estimation is performed by looping over each value of τ, computing the rotation that minimizes (11) by using the closed-form solution based on the quaternion representation [52].
The relative motion between adjacent parts of the lumbar spine was obtained on the basis of computing the rotation matrix.
The rotated point P 2 e is computed using rotation matrices.
Compute the rotation matrix using (15).
Compute the rotation matrix R via (15).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com