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To complete a six dimensional search in the rotation-translation space the moving object is rotated to a new orientation (by applying a rotation transformation to the coordinates of the virtual atoms), its grid representation is recalculated for the new orientation, and then a new correlation matrix is calculated and new high scoring positions are identified and saved.
Then the rotation matrix can be calculated using the known angle parameter of the turntable, and finally an arbitrary view of point cloud can be easily transformed into a unified coordinate system by the rotation transformation.
In the HERF algorithm, training of each individual classifier involves two steps: first computing a randomized data rotation transformation of the training data, second, training the individual classifier on the rotated data.
(iii) Rotation transformation matrix: (16).
The process R is a rotation transformation, as shown in Fig. 3e.
The coordinates of the subsampled pixels can be obtained by the rotation transformation equations (1).
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This principle would be obviously a time-consuming one and, moreover, sensitive to the expected scale and rotation transformations in both cases of incoming and outgoing obstacles.
The estimation of the azimuth angle of elongated targets is also explored using rotation transformations that maximize alternatively the co-polarized or the cross-polarized responses.
We evaluate the simultaneous application of a synthetic-emitter array (SEA) methodology and formulation derived from the analysis of the rotation transformations of the scattering matrix (RTSM) to calculate the orientation of buried pipes from GPR data acquired along a single survey line.
The results are invariant with respect to the changes in light intensity, rotation, translation, affine transformations, and scaling.
This was intended to bridge the fact that normalized cross-correlation is not invariant to rotation, translation, affine transformations, and scaling.
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