Results 1 to 10 of about 50 (50)
Mathematical Methods in the Applied Sciences, 2021 Many problems in computer vision today are solved via deep learning. Tasks like pose estimation from images, pose estimation from point clouds or structure from motion can all be formulated as a regression on rotations. However, there is no unique way of parametrizing rotations mathematically: matrices, quaternions, axis-angle representation or Euler ...
Pepe, A, Lasenby, J, Chacón, P
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Rotation and pseudo-rotation [PDF]
General Relativity and Gravitation, 2005 Eigenvectors of stress-energy tensor (the source in Einstein's equations) form privileged bases in description of the corresponding space-times. When one or more of these vector fields are rotating (the property well determined in differential geometry), one says that the space-time executes this rotation.
Nikolai V. Mitskievich +1 more
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Journal of the London Mathematical Society, 2023 AbstractWe describe the infinite interval exchange transformations, called the rotated odometers, which are obtained as compositions of finite interval exchange transformations and the von Neumann–Kakutani map. We show that with respect to Lebesgue measure on the unit interval, every such transformation is measurably isomorphic to the first return map ...
Bruin, H., Lukina, O.
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Journal of Microscopy, 2013 SummaryThis paper presents a new local volume estimator, the spatial rotator, which is based on measurements on a virtual 3D probe, using computer assisted microscopy. The basic design of the probe builds upon the rotator principle which requires only a few manual intersection markings, thus making the spatial rotator fast to use.
Jens R. Nyengaard +8 more
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AppliedMath, 2022 This paper investigates the behavior of rotating binaries. A rotation by r digits to the left of a binary number B exhibits in particular cases the divisibility l∣N1(B)·r+1, where l is the bit-length of B and N1(B) is the Hamming weight of B, that is the number of ones in B. The integer r is called the left-rotational distance.
Anant Gupta +5 more
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Astronomy & Astrophysics, 2011 The Cassini mission in the Saturnian system is an outstanding opportunity to improve our knowledge of the satellites of Saturn. The data obtained thanks to this mission must be confronted to theoretical models. This paper aims at modeling the rotation of Mimas, with respect to its possible internal structure. For that, we first build different interior
Benoît Noyelles +3 more
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Journal of High Energy Physics, 1999 We present a class of spacetime rotations that preserve a proportion of spacetime supersymmetry. We then give the rules for superposing these rotations with various branes to construct rotating brane solutions which preserve exotic fractions of supersymmetry.
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Journal of Computational Physics, 1998 24 pages, 3 ...
Hénon, Michel, Petit, Jean-Marc,
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Rotations and rotation matrices [PDF]
Acta Crystallographica Section D Biological Crystallography, 2001 In molecular replacement, a model, described as a list of orthogonal coordinates, is to be moved into a new position and orientation. The orthogonal coordinate system also has to be related to the crystallographic system, which may not be orthogonal, and crystallographic symmetry must be considered, which applies to coordinates expressed as fractions ...
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The dependence of differential rotation on temperature and rotation [PDF]
Monthly Notices of the Royal Astronomical Society: Letters, 2005 AbstractWe use Doppler imaging techniques to determine the dependence of starspot rotation rates on latitude in an homogeneous sample of young, rapidly rotating solar analogues. A solar-like differential rotation law is used, where the rotation depends on sin2θ, where θ is the stellar latitude. By including this term in the image reconstruction process,
Barnes, J.R. +5 more
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