Retrieval of Euler rotation angles from 3D similarity transformation based on quaternions
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DOI: 10.1080/14498596.2020.1776170
Abstract: Recently, it has been shown how quaternion-based representation of a rotation matrix has advantages over conventional Eulerian representation in 3D similarity transformations. The iterative estimat... read more here.
Keywords: retrieval euler; similarity; rotation angles; rotation ... See more keywords
Polar magneto-optic Kerr and Faraday effects in finite periodic PT -symmetric systems
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DOI: 10.1103/physreva.107.053504
Abstract: We discuss the anomalous behavior of the Faraday (transmission) and polar Kerr (reflection) rotation angles of the propagating light, in finite periodic parity-time ($\mathcal{P}\mathcal{T}$) symmetric structures, consisting of $N$ cells. The unit cell potential is… read more here.
Keywords: symmetric systems; faraday kerr; finite periodic; rotation angles ... See more keywords
A Novel Technique for Inversion of Rotation Angles in Built-Up Areas
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DOI: 10.1109/lgrs.2021.3088126
Abstract: In previous publications, it is generally believed that the rotated buildings in built-up areas can induce polarization orientation angles, which cause overestimation of the volume scattering contribution. However, we found that the rotation effect of… read more here.
Keywords: built areas; rotation; novel technique; technique inversion ... See more keywords
PERFORMING 3D SIMILARITY TRANSFORMATION WITH LARGE ROTATION ANGLES USING CONSTRAINED MULTIVARIATE TOTAL LEAST SQUARES
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DOI: 10.1590/s1982-21702020000400021
Abstract: 3D similarity transformation is frequently encountered operation in the field of geodetic data processing, and there are many applications that involve large rotation angles. In previous studies, the errors of the coefficient matrix were usually… read more here.
Keywords: least squares; rotation angles; transformation; large rotation ... See more keywords