Results 1 to 10 of about 59,419 (188)
Study on Spatial Geometric Similarity Based on Conformal Geometric Algebra [PDF]
International Journal of Environmental Research and Public Health, 2022 The study of spatial geometric similarity plays a significant role in spatial data retrieval. Many researchers have examined spatial geometric similarity, which is useful for spatial analysis and data retrieval. However, the majority of them focused on objects of the same type.
Xiaomin Jiang, Yangfei Huang
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Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra [PDF]
Advances in Applied Clifford Algebras, 2021 We show that if PGA is understood as a subalgebra of CGA in mathematically correct sense, then the flat objects share the same representation in PGA and CGA. Particularly, we treat duality in PGA. This leads to unification of PGA and CGA objects which is important especially for software implementation and symbolic calculations.
Jaroslav Hrdina +2 more
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Reinterpreting the Smith Chart Using Conformal Geometric Algebra
IEEE Access, 2023 In this study, transmission line calculations using the Smith chart were reinterpreted within the context of Conformal Geometric Algebra (CGA). Reflection coefficients and immittances (representing either impedances or admittances depending on the ...
Michael J. Neve
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IEEE Access, 2023 The processing of color images is of great interest, because the human perception of color is a very complex process, still not well understood. In this article, firstly the authors present an analysis of the well-known mathematical methods used to model
Eduardo Bayro-Corrochano +2 more
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Dual-arm admittance control using conformal geometric algebra [PDF]
Frontiers in Robotics and AIWe propose a task-space admittance controller for dual-arm robotic systems using conformal geometric algebra. The controller is a reinterpretation of a previous work using dual quaternion algebra.
Tobias Löw +5 more
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Motion generation of a planar 3R serial chain based on conformal geometric algebra with applications to planar linkages [PDF]
Mechanical Sciences, 2022 A planar three-revolute (3R) serial chain is an important part of many mechanisms. The classical approach in motion generation of a planar 3R serial chain is to construct closed-loop equations based on complex numbers, which yields a large-scale ...
L. Wang +7 more
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Fast Study Quadric Interpolation in the Conformal Geometric Algebra Framework
Electronics (Switzerland), 2022 Interpolating trajectories of points and geometric entities is an important problem for kinematics. To describe these trajectories, several algorithms have been proposed using matrices, quaternions, dual-quaternions, and the Study quadric; the last one ...
Eduardo Bayro-Corrochano +1 more
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Evaluating a Semiautonomous Brain-Computer Interface Based on Conformal Geometric Algebra and Artificial Vision. [PDF]
Comput Intell Neurosci, 2019 In this paper, we evaluate a semiautonomous brain-computer interface (BCI) for manipulation tasks. In such a system, the user controls a robotic arm through motor imagery commands. In traditional process-control BCI systems, the user has to provide those
Ramírez-Moreno MA, Gutiérrez D.
europepmc +3 more sources
MachinesThis paper presents a geometric approach to solve the inverse kinematics for an anthropomorphic robotic arm with seven degrees of freedom (DoF). The proposal is based on conformal geometric algebra (CGA), by which many geometric primitives can be ...
Oscar Carbajal-Espinosa +2 more
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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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