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Titlebook: Geometric Algebra with Applications in Engineering; Christian Perwass Textbook 2009 Springer-Verlag Berlin Heidelberg 2009 Algebra.Applied

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发表于 2025-3-21 17:03:34 | 显示全部楼层 |阅读模式
书目名称Geometric Algebra with Applications in Engineering
编辑Christian Perwass
视频video
概述Includes supplementary material:
丛书名称Geometry and Computing
图书封面Titlebook: Geometric Algebra with Applications in Engineering;  Christian Perwass Textbook 2009 Springer-Verlag Berlin Heidelberg 2009 Algebra.Applied
描述.The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematical structure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms. ..This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data. Formally, the book consists of two parts: theoretical foundations and applications. The first part includes chapters on random variables in geometric algebra, linear estimation methods that incorporate the uncertainty of algebraic elements, and the representation of geometry in Euclidean, projective, conformal and conic space. The second part is dedicated to applications of geometric algebra, which include uncertain geometry and transformations, a generalized camera model, and pose estimation. ..Graduate students, scientists, researchers and practitioners will benefit from this book. The examples given in the text are mostly recent research results, so practitioners can see how to apply geometric
出版日期Textbook 2009
关键词Algebra; Applied mathematics; CLUCalc; Computer vision; Geometric algebra; Geometric computing; Geometry; I
版次1
doihttps://doi.org/10.1007/978-3-540-89068-3
isbn_softcover978-3-642-10032-1
isbn_ebook978-3-540-89068-3Series ISSN 1866-6795 Series E-ISSN 1866-6809
issn_series 1866-6795
copyrightSpringer-Verlag Berlin Heidelberg 2009
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Versor Functionsins in general [150, 161]. It is shown how this is related to cycloidal curves and Fourier descriptors of planar curves. The discussion of coupled motors is concluded with a brief discussion of space curves in higher dimensions generated through coupled motors.
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1866-6795 he promise of this field is that the mathematical structure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms. ..This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the rep
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PDES-STEP Standards: A Questiony, most applications in two- and three-dimensional space, which are the most common spaces in engineering applications, can be dealt with using standard vector analysis and matrix algebra, without the need for additional tools. The goal of this text is thus to demonstrate that geometric algebra, whi
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Kazunari Yoshizawa,Mayuko Miyanishi generate illustrations for publications, and to give presentations including animated and userinteractive embedded 3D visualizations. All drawings shown in this text, for example, were generated using CLUCalc. Some additional interesting features of CLUCalc are:.These features indicate that CLUCalc
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The Success of Sales Subsidiaries such as re ection and rotation. In this context, the . group and its subgroups the pin and the spin group are discussed. A more general type of transformation of multivectors is presented in Sect. 3.4, where general linear functions are considered. These are directly related to matrix algebra, and
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Direct Licensing and the Music Industryeometric algebra discussed in this text encompasses all the algebras described in Sect. 3.8, which is the justication for calling it . geometric algebra..Note that the field of . is closely related to this method of representing geometry. In algebraic geometry, geometric entities are represented thr
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