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A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular GeometryConformal Geometric Algebra

A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry: Conformal... [This chapter is devoted to a presentation of conformal geometric algebra (CGA) CGA targeted to the sort of applications dealt with in chapters 4 (robotics) and 5 (molecular geometry). This means that the ground space will be the Euclidean space E3 and that the algebra we will be working with is designed so that it can encode all conformal transformations ofE3in spinorial form. Except for noting that conformal means angle-preserving, we can defer the necessary precisions to the most convenient moments in our exposition. Here are some references: Foundational paper: [64]; a nice expository memoir: [55]; computationally oriented: [49]; vision and graphics oriented, [54]; oriented conformal geometry: [12]; treatises: [20, 30, 63, 79].] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular GeometryConformal Geometric Algebra

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References (10)

Publisher
Springer International Publishing
Copyright
© The Author(s), under exclusive licence to Springer International Publishing AG, part of Springer Nature 2018
ISBN
978-3-319-90664-5
Pages
33 –51
DOI
10.1007/978-3-319-90665-2_2
Publisher site
See Chapter on Publisher Site

Abstract

[This chapter is devoted to a presentation of conformal geometric algebra (CGA) CGA targeted to the sort of applications dealt with in chapters 4 (robotics) and 5 (molecular geometry). This means that the ground space will be the Euclidean space E3 and that the algebra we will be working with is designed so that it can encode all conformal transformations ofE3in spinorial form. Except for noting that conformal means angle-preserving, we can defer the necessary precisions to the most convenient moments in our exposition. Here are some references: Foundational paper: [64]; a nice expository memoir: [55]; computationally oriented: [49]; vision and graphics oriented, [54]; oriented conformal geometry: [12]; treatises: [20, 30, 63, 79].]

Published: Jul 13, 2018

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