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Titlebook: Geometric Algebra Applications Vol. I; Computer Vision, Gra Eduardo Bayro-Corrochano Book 2019 Springer International Publishing AG, part o

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发表于 2025-3-21 16:19:27 | 显示全部楼层 |阅读模式
书目名称Geometric Algebra Applications Vol. I
副标题Computer Vision, Gra
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 in computer vision, graphics and machine learning.Introduces the basics of geometric algebra to specialists and n
图书封面Titlebook: Geometric Algebra Applications Vol. I; Computer Vision, Gra Eduardo Bayro-Corrochano Book 2019 Springer International Publishing AG, part o
描述The goal of the Volume I Geometric Algebra for Computer Vision, Graphics  and Neural Computing is to present a unified mathematical treatment of diverse problems in the general domain of artificial intelligence and associated fields using Clifford, or geometric, algebra..Geometric algebra provides a rich and general mathematical framework for Geometric Cybernetics in order to develop solutions, concepts and computer algorithms without losing geometric insight of the problem in question. Current mathematical subjects can be treated in an unified manner without abandoning the mathematical system of geometric algebra for instance: multilinear algebra, projective and affine geometry, calculus on manifolds, Riemann geometry, the representation of Lie algebras and Lie groups using bivector algebras and conformal geometry...By treating a wide spectrum of problems in a common language, this Volume I offers both new insights and new solutions that should be useful to scientists, and engineers working in different areas related with the development and building of intelligent machines. Each chapter is written in accessible terms accompanied by numerous examples, figures and a complementary a
出版日期Book 2019
关键词Computer Vision; Geometric Algebra; Geometric Neural Computing; Graphics; Machine Learning; complexity
版次1
doihttps://doi.org/10.1007/978-3-319-74830-6
isbn_softcover978-3-030-09085-2
isbn_ebook978-3-319-74830-6
copyrightSpringer International Publishing AG, part of Springer Nature 2019
The information of publication is updating

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发表于 2025-3-21 22:24:40 | 显示全部楼层
https://doi.org/10.1057/9780230108158This chapter gives a detailed outline of geometric algebra and explains the related traditional algebras in common use by mathematicians, physicists, computer scientists, and engineers.
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Dimensions of Constitutional DemocracyThis chapter gives a detailed outline of differentiation, linear, and multilinear functions, eigenblades, and tensors formulated in geometric algebra and explains the related operators and transformations in common use by mathematicians, physicists, computer scientists, and engineers.
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Conformal Geometric AlgebraThe geometric algebra of a 3D Euclidean space . has a point basis and the motor algebra . a line basis. In the latter geometric algebra, the lines expressed in terms of Plücker coordinates can be used to represent points and planes as well. The reader can find a comparison of representations of points, lines, and planes using . and . in Chap. ..
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https://doi.org/10.1007/978-3-322-98962-8dles the theme geometric algebra for robotics and control. The Vol III presents geometric algebra for integral transforms for science and engineering. As a matter of fact, these topics are fundamental for the ultimate goal of building intelligent machines.
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