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Titlebook: Applications of Geometric Algebra in Computer Science and Engineering; Leo Dorst,Chris Doran,Joan Lasenby Book 2002 Springer Science+Busin

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發(fā)表于 2025-3-21 19:11:29 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Applications of Geometric Algebra in Computer Science and Engineering
影響因子2023Leo Dorst,Chris Doran,Joan Lasenby
視頻videohttp://file.papertrans.cn/160/159450/159450.mp4
圖書(shū)封面Titlebook: Applications of Geometric Algebra in Computer Science and Engineering;  Leo Dorst,Chris Doran,Joan Lasenby Book 2002 Springer Science+Busin
影響因子Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed.Features and Topics: * The mathematical foundations of geometric algebra are explored * Applications in computational geometry include models of reflection and ray-tracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigid-body dynamics, elasticity, and electromagnetism * Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizationsPractitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a
Pindex Book 2002
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https://doi.org/10.1007/978-1-4020-8265-8ann ’s Ausdehnungslehre described just such a metricfree geometric algebra of points. However, Whitehead’s treatise spoiled the natural simplicity of the theory by a lopsided derivation based purely on points which gave rise to two different products (progressive and regressive). The current paper t
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Anne L. C. Runehov,Lluis Oviedoee versions: ., which features inner products and outer products of multivectors; ., which features pseudoscalars and inner products of vectors; ., which features geometric products of vectors and multivectors.
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Encyclopedia of Sciences and Religionses operate by left multiplication onto real three-dimensional column vectors; the space of such vectors is the . of the representation. Rotations in different planes do not generally commute, and a common problem considered in texts is how to express the product of given rotations as a single rotati
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https://doi.org/10.1007/978-1-4020-8265-8sented by the .th compound matrix of the .-by-. matrix . := [.., ?, ..] ∈ F. relative to the basis {.., .., ?, ..} 2254; 1, .., ?, ..Λ?Λ..} of the underlying Grassmann algebra ..(F). Since the Clifford product ● is related to the Grassmann product A via . ● . = . Λ . + ..., ., . ∈ F., the question o
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Anne L. C. Runehov,Lluis Oviedolection of abstract K-dimensional cells, k = 0,1,...,n that are assembled into an oriented cellular structure called a starplex and shown in Figure 11.1. The starplex structure represents the combinatorial neighborhood (a star) of a 0-cell in any n-dimensional cell complex representing a typical coo
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