Results 31 to 40 of about 60,017 (247)
Carrollian and celestial spaces at infinity
Journal of High Energy Physics, 2022 We show that the geometry of the asymptotic infinities of Minkowski spacetime (in d + 1 dimensions) is captured by homogeneous spaces of the Poincaré group: the blow-ups of spatial (Spi) and timelike (Ti) infinities in the sense of Ashtekar-Hansen and a ...
José Figueroa-O’Farrill +3 more
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Human action recognition method based on conformal geometric algebra and recurrent neural network
Information and Control Systems, 2020 Deep Learning (DL) plays an important role in machine learning and artificial intelligence. DL is widely applied in many fields with high dimensional data, including natural language processing, image recognition.
Nang Hung Van Nguyen +4 more
semanticscholar +1 more source
Journal of High Energy Physics, 2018 In their recent manuscript “An uplifting discussion of T-duality ” [26], J. Harvey and G. Moore have reevaluated a mod two condition appearing in asymmetric orbifold constructions as an obstruction to the description of certain symmetries of toroidal ...
Anne Taormina, Katrin Wendland
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Hydro & thermo dynamics at causal boundaries, examples in 3d gravity
Journal of High Energy Physics, 2023 We study 3-dimensional gravity on a spacetime bounded by a generic 2-dimensional causal surface. We review the solution phase space specified by 4 generic functions over the causal boundary, construct the symplectic form over the solution space and the 4
H. Adami +4 more
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Nonlinear AnalysisIn a three-phase symmetric power system, we propose a transformation that converts the original current to a current with minimal losses while preserving the standard constraints. The selected transformation is realized in suitable geometric algebra and
Johanka Brdečková, Jaroslav Hrdina
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A conformal geometric algebra method for virtual hand modeling and interaction
EURASIP Journal on Image and Video Processing, 2018 Virtual hand usually simulates human hands by mapping the actual shapes of hands to virtual environment and modeling the hand-object manipulations in human machine interactions.
Peng Chen, Yong Hu, Fengwei Yang
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Journal of GeodesyThis paper introduces a novel method for solving the resection problem in two and three dimensions based on conformal geometric algebra (CGA). Advantage is taken because of the characteristics of CGA, which enables the representation of points, lines ...
Jorge Ventura +6 more
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Recent Applications of Conformal Geometric Algebra [PDF]
, 2005 We discuss a new covariant approach to geometry, called conformal geometric algebra, concentrating particularly on applications to projective geometry and new hybrid geometries. In addition, a new method of working, which can achieve similar results, but using only one extra dimension instead of two, is also discussed.
openaire +1 more source
Developing GA-FuL: A Generic Wide-Purpose Library for Computing with Geometric Algebra
MathematicsThe Geometric Algebra Fulcrum Library (GA-FuL) version 1.0 is introduced in this paper as a comprehensive computational library for geometric algebra (GA) and Clifford algebra (CA), in addition to other classical algebras.
Ahmad Hosny Eid, Francisco G. Montoya
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DOA Estimation of Cylindrical Conformal Array Based on Geometric Algebra
International Journal of Antennas and Propagation, 2016 Due to the variable curvature of the conformal carrier, the pattern of each element has a different direction. The traditional method of analyzing the conformal array is to use the Euler rotation angle and its matrix representation.
Minjie Wu +3 more
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