Results 21 to 30 of about 386 (180)
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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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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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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Conical spaces, modular invariance and c p,1 holography
Journal of High Energy Physics, 2021 We propose a non-unitary example of holography for the family of two-dimensional logarithmic conformal field theories with negative central charge c = c p,1 = −6p + 13 − 6p −1.
Joris Raeymaekers
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LAPLACE EQUATIONS, CONFORMAL SUPERINTEGRABILITY AND BÔCHER CONTRACTIONS
Acta Polytechnica, 2016 Quantum superintegrable systems are solvable eigenvalue problems. Their solvability is due to symmetry, but the symmetry is often ``hidden''.The symmetry generators of 2nd order superintegrable systems in 2 dimensions close under commutation to define ...
Ernest G. Kalnins +2 more
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Exact Discrete Stochastic Simulation With Deep‐Learning‐Scale Gradient Optimization
Advanced Science, EarlyView.A 203,796‐parameter gene regulatory network classifies handwritten digits with 98.4% accuracy using exact stochastic dynamics. The framework decouples forward simulation from backward differentiation, making continuous‐time Markov chain models compatible with deep‐learning optimization.
Jose M. G. Vilar, Leonor Saiz
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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Pose Estimation of Non-Cooperative Space Targets Based on Cross-Source Point Cloud Fusion
Remote Sensing, 2021 On-orbit space technology is used for tasks such as the relative navigation of non-cooperative targets, rendezvous and docking, on-orbit assembly, and space debris removal.
Jie Li, Yiqi Zhuang, Qi Peng, Liang Zhao
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Pre‐Curved Everting Robots With Embedded Steering Intelligence Fabricated by CO2 Laser Welding
Advanced Intelligent Systems, EarlyView.Design and experimental demonstration of a laser welded growing robot for anatomically guided navigation. The robot follows an aortic arch phantom entering the branchiocephalic branch through steering by design. The figure shows the physical phantom setup, CAD defined weld geometry and full robot eversion.
Brandon Saldarriaga +5 more
wiley +1 more source