Results 11 to 20 of about 352 (177)
Invariants of Space Line Element Structure Based on Projective Geometric Algebra
IEEE Access, 2020 Based on the theory of Conformal Geometric Algebra, this paper presents a geometric constraint structure consisting of seven straight lines on three adjacent planes and its projective invariants, which can be obtained from a single frame image. Comparing
Zhang Youzheng, Mui Yanping
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DOA estimation for conformal vector-sensor array using geometric algebra
EURASIP Journal on Advances in Signal Processing, 2017 In this paper, the problem of direction of arrival (DOA) estimation is considered in the case of multiple polarized signals impinging on the conformal electromagnetic vector-sensor array (CVA).
Tianzhen Meng, Minjie Wu, Naichang Yuan
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Applications of Conformal Geometric Algebra to Transmission Line Theory
IEEE Access, 2017 In this paper, we present the application of a projective geometry tool known as conformal geometric algebra (CGA) to transmission line theory. Explicit relationships between the Smith Chart, Riemann Sphere, and CGA are developed to illustrate the ...
Alex Arsenovic
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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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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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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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Implementation and Evaluation of Medical Imaging Techniques Based on Conformal Geometric Algebra
International Journal of Applied Mathematics and Computer Science, 2020 Medical imaging tasks, such as segmentation, 3D modeling, and registration of medical images, involve complex geometric problems, usually solved by standard linear algebra and matrix calculations. In the last few decades, conformal geometric algebra (CGA)
Franchini Silvia +3 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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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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