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Titlebook: Geometric Algebra Applications Vol. II; Robot Modelling and Eduardo Bayro-Corrochano Book 2020 Springer Nature Switzerland AG 2020 Cogniti

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发表于 2025-3-21 18:38:00 | 显示全部楼层 |阅读模式
书目名称Geometric Algebra Applications Vol. II
副标题Robot Modelling and
编辑Eduardo Bayro-Corrochano
视频video
概述Offers in a compact and complete way the theory and methods to apply Geometric Algebra to Robotics.Introduces the basics of geometric algebra to specialists and non- specialists in a gentle and compre
图书封面Titlebook: Geometric Algebra Applications Vol. II; Robot Modelling and  Eduardo Bayro-Corrochano Book 2020 Springer Nature Switzerland AG 2020 Cogniti
描述.This book presents a unified mathematical treatment of diverse problems in the..general domain of robotics and associated fields using Clifford or geometric alge-..bra. By addressing a wide spectrum of problems in a common language, it offers..both fresh insights and new solutions that are useful to scientists and engineers..working in areas related with robotics... ..It introduces non-specialists to Clifford and geometric algebra, and provides ex-..amples to help readers learn how to compute using geometric entities and geomet-..ric formulations. It also includes an in-depth study of applications of Lie group.theory, Lie algebra, spinors and versors and the algebra of incidence using the..universal geometric algebra generated by reciprocal null cones...Featuring a detailed study of kinematics, differential kinematics and dynamics..using geometric algebra, the book also develops Euler Lagrangeand Hamiltoni-..ans equations for dynamics using conformal geometric algebra, and the recursive..Newton-Euler using screw theory in the motor algebra framework. Further, it..comprehensively explores robot modeling and nonlinear controllers, and discusses..several applications in computer visi
出版日期Book 2020
关键词Cognitive Robotics; Geometric Algebra; Humanoids; Medical Robotics; Robotics; complexity
版次1
doihttps://doi.org/10.1007/978-3-030-34978-3
isbn_ebook978-3-030-34978-3
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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https://doi.org/10.1007/978-1-4612-0085-7ed the conformal geometric algebra which includes for the representation also circles and spheres. The use of additional geometric entities helps even more to reduce the representation and computational difficulties.
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Lie Algebras, Lie Groups, and Algebra of Incidencepts and equations most of them introduced by Hestenes and Sobzyk [., Chap. 8] and the article of Doran et al. [., Sect. IV]. This chapter is written in a clear manner for readers interested in applications in computer science and engineering. The explained equations will be required to understand advanced applications in next chapters.
发表于 2025-3-22 22:49:02 | 显示全部楼层
Kinematics of the 2D and 3D Spacesng 3D and 4D geometric algebras, the classic model for the 3D motion of vectors. Finally, we compare both models, that is, the one using 3D Euclidean geometric algebra and our model, which uses 4D motor algebra.
发表于 2025-3-23 04:10:28 | 显示全部楼层
Robot Neurocontrolthese ANN were called the third generation of neural networks [.]. The main advantage of the third generation of neural networks, or Spiking Neural Networks (SNN), is the ability to mimic the biological behavior, where this characteristic can be used in a variety of applications.
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Book 2020ometric alge-..bra. By addressing a wide spectrum of problems in a common language, it offers..both fresh insights and new solutions that are useful to scientists and engineers..working in areas related with robotics... ..It introduces non-specialists to Clifford and geometric algebra, and provides
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