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CGAlgebra: a Mathematica package for conformal geometric algebra. v.2.0 [PDF]
, 2022 A tutorial of the Mathematica package CGAlgebra, for conformal geometric algebra calculations is presented. Using rule-based programming, the 5-dimensional conformal geometric algebra is implemented and defined functions simplify the calculations of ...
Aragon, Jose L. +1 more
core
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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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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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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Multimodal Medical Image Registration Based on Feature Spheres in Geometric Algebra
IEEE Access, 2018 Multi-modal image registration in medical image analysis is very challenging as the appearance of body structures in images from different imaging devices can be very different. In this paper, we propose a new method [GA-speeded up robust features (SURF)]
Wenming Cao +4 more
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Robot Object Manipulation Using Stereoscopic Vision and Conformal Geometric Algebra
Applied Bionics and Biomechanics, 2011 This paper uses geometric algebra to formulate, in a single framework, the kinematics of a three finger robotic hand, a binocular robotic head, and the interactions between 3D objects, all of which are seen in stereo images.
Julio Zamora-Esquivel +1 more
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