Geometric Computing with Clifford Algebras: Theoretical Foundations and Applications in Computer Vision and Robotics
Clifford algebra, then called geometric algebra, was introduced more than a cenetury ago by William K. Clifford, building on work by Grassmann and Hamilton. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing differen...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2001
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| Ausgabe: | 1st ed. 2001 |
| Schlagworte: | |
| Online-Zugang: | UBY01 Volltext |
| Zusammenfassung: | Clifford algebra, then called geometric algebra, was introduced more than a cenetury ago by William K. Clifford, building on work by Grassmann and Hamilton. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering. Recent work outlines that Clifford algebra provides a universal and powerfull algebraic framework for an elegant and coherent representation of various problems occuring in computer science, signal processing, neural computing, image processing, pattern recognition, computer vision, and robotics. This monograph-like anthology introduces the concepts and framework of Clifford algebra and provides computer scientists, engineers, physicists, and mathematicians with a rich source of examples of how to work with this formalism |
| Beschreibung: | 1 Online-Ressource (XVIII, 551 p) |
| ISBN: | 9783662046210 |
| DOI: | 10.1007/978-3-662-04621-0 |
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| 245 | 1 | 0 | |a Geometric Computing with Clifford Algebras |b Theoretical Foundations and Applications in Computer Vision and Robotics |c edited by Gerald Sommer |
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| 520 | |a Clifford algebra, then called geometric algebra, was introduced more than a cenetury ago by William K. Clifford, building on work by Grassmann and Hamilton. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering. Recent work outlines that Clifford algebra provides a universal and powerfull algebraic framework for an elegant and coherent representation of various problems occuring in computer science, signal processing, neural computing, image processing, pattern recognition, computer vision, and robotics. This monograph-like anthology introduces the concepts and framework of Clifford algebra and provides computer scientists, engineers, physicists, and mathematicians with a rich source of examples of how to work with this formalism | ||
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| discipline | Informatik Mathematik |
| discipline_str_mv | Informatik Mathematik |
| doi_str_mv | 10.1007/978-3-662-04621-0 |
| edition | 1st ed. 2001 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:12:23Z |
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| institution | BVB |
| isbn | 9783662046210 |
| language | English |
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| spelling | Geometric Computing with Clifford Algebras Theoretical Foundations and Applications in Computer Vision and Robotics edited by Gerald Sommer 1st ed. 2001 Berlin, Heidelberg Springer Berlin Heidelberg 2001 1 Online-Ressource (XVIII, 551 p) txt rdacontent c rdamedia cr rdacarrier Clifford algebra, then called geometric algebra, was introduced more than a cenetury ago by William K. Clifford, building on work by Grassmann and Hamilton. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering. Recent work outlines that Clifford algebra provides a universal and powerfull algebraic framework for an elegant and coherent representation of various problems occuring in computer science, signal processing, neural computing, image processing, pattern recognition, computer vision, and robotics. This monograph-like anthology introduces the concepts and framework of Clifford algebra and provides computer scientists, engineers, physicists, and mathematicians with a rich source of examples of how to work with this formalism Image Processing and Computer Vision Computer Graphics Artificial Intelligence Symbolic and Algebraic Manipulation Algebraic Geometry Optical data processing Computer graphics Artificial intelligence Computer science—Mathematics Algebraic geometry Clifford-Algebra (DE-588)4199958-7 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf Clifford-Algebra (DE-588)4199958-7 s Anwendung (DE-588)4196864-5 s DE-604 Sommer, Gerald edt Erscheint auch als Druck-Ausgabe 9783642074424 Erscheint auch als Druck-Ausgabe 9783540411987 Erscheint auch als Druck-Ausgabe 9783662046227 https://doi.org/10.1007/978-3-662-04621-0 Verlag URL des Eerstveröffentlichers Volltext |
| spellingShingle | Geometric Computing with Clifford Algebras Theoretical Foundations and Applications in Computer Vision and Robotics Image Processing and Computer Vision Computer Graphics Artificial Intelligence Symbolic and Algebraic Manipulation Algebraic Geometry Optical data processing Computer graphics Artificial intelligence Computer science—Mathematics Algebraic geometry Clifford-Algebra (DE-588)4199958-7 gnd Anwendung (DE-588)4196864-5 gnd |
| subject_GND | (DE-588)4199958-7 (DE-588)4196864-5 |
| title | Geometric Computing with Clifford Algebras Theoretical Foundations and Applications in Computer Vision and Robotics |
| title_auth | Geometric Computing with Clifford Algebras Theoretical Foundations and Applications in Computer Vision and Robotics |
| title_exact_search | Geometric Computing with Clifford Algebras Theoretical Foundations and Applications in Computer Vision and Robotics |
| title_exact_search_txtP | Geometric Computing with Clifford Algebras Theoretical Foundations and Applications in Computer Vision and Robotics |
| title_full | Geometric Computing with Clifford Algebras Theoretical Foundations and Applications in Computer Vision and Robotics edited by Gerald Sommer |
| title_fullStr | Geometric Computing with Clifford Algebras Theoretical Foundations and Applications in Computer Vision and Robotics edited by Gerald Sommer |
| title_full_unstemmed | Geometric Computing with Clifford Algebras Theoretical Foundations and Applications in Computer Vision and Robotics edited by Gerald Sommer |
| title_short | Geometric Computing with Clifford Algebras |
| title_sort | geometric computing with clifford algebras theoretical foundations and applications in computer vision and robotics |
| title_sub | Theoretical Foundations and Applications in Computer Vision and Robotics |
| topic | Image Processing and Computer Vision Computer Graphics Artificial Intelligence Symbolic and Algebraic Manipulation Algebraic Geometry Optical data processing Computer graphics Artificial intelligence Computer science—Mathematics Algebraic geometry Clifford-Algebra (DE-588)4199958-7 gnd Anwendung (DE-588)4196864-5 gnd |
| topic_facet | Image Processing and Computer Vision Computer Graphics Artificial Intelligence Symbolic and Algebraic Manipulation Algebraic Geometry Optical data processing Computer graphics Artificial intelligence Computer science—Mathematics Algebraic geometry Clifford-Algebra Anwendung |
| url | https://doi.org/10.1007/978-3-662-04621-0 |
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