The Resource Geometric algebra with applications in engineering, Christian Perwass
Geometric algebra with applications in engineering, Christian Perwass
Resource Information
The item Geometric algebra with applications in engineering, Christian Perwass represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 2 library branches.
Resource Information
The item Geometric algebra with applications in engineering, Christian Perwass represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 2 library branches.
 Summary
 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 algebra to real tasks, while researchers note starting points for future investigations. Students will profit from the detailed introduction to geometric algebra, while the text is supported by the author's visualization software, CLUCalc, freely available online, and a website that includes downloadable exercises, slides and tutorials
 Language
 eng
 Extent
 1 online resource (xiv, 385 pages)
 Contents

 Introduction
 Learning geometric algebra with CLUCalc
 Algebra
 Geometries
 Numerics
 Uncertain geometric entities and operators
 The inversion camera model
 Monocular pose estimation
 Versor functions
 Randomvariable space
 Isbn
 9783540890676
 Label
 Geometric algebra with applications in engineering
 Title
 Geometric algebra with applications in engineering
 Statement of responsibility
 Christian Perwass
 Language
 eng
 Summary
 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 algebra to real tasks, while researchers note starting points for future investigations. Students will profit from the detailed introduction to geometric algebra, while the text is supported by the author's visualization software, CLUCalc, freely available online, and a website that includes downloadable exercises, slides and tutorials
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Perwass, Christian
 Dewey number
 530.15257
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA199
 LC item number
 .P47 2009
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Geometry and computing
 Series volume
 4
 http://library.link/vocab/subjectName

 Clifford algebras
 Informatique
 Clifford algebras
 Label
 Geometric algebra with applications in engineering, Christian Perwass
 Bibliography note
 Includes bibliographical references (pages 369379) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Learning geometric algebra with CLUCalc  Algebra  Geometries  Numerics  Uncertain geometric entities and operators  The inversion camera model  Monocular pose estimation  Versor functions  Randomvariable space
 Control code
 318545519
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 385 pages)
 Form of item
 online
 Isbn
 9783540890676
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 10.1007/9783540890683.
 9786612005107
 Other physical details
 illustrations (some color).
 http://library.link/vocab/ext/overdrive/overdriveId
 9783540890676
 Specific material designation
 remote
 System control number
 (OCoLC)318545519
 Label
 Geometric algebra with applications in engineering, Christian Perwass
 Bibliography note
 Includes bibliographical references (pages 369379) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Learning geometric algebra with CLUCalc  Algebra  Geometries  Numerics  Uncertain geometric entities and operators  The inversion camera model  Monocular pose estimation  Versor functions  Randomvariable space
 Control code
 318545519
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 385 pages)
 Form of item
 online
 Isbn
 9783540890676
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 10.1007/9783540890683.
 9786612005107
 Other physical details
 illustrations (some color).
 http://library.link/vocab/ext/overdrive/overdriveId
 9783540890676
 Specific material designation
 remote
 System control number
 (OCoLC)318545519
Subject
Member of
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Geometricalgebrawithapplicationsin/Kj1iKc63wz8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Geometricalgebrawithapplicationsin/Kj1iKc63wz8/">Geometric algebra with applications in engineering, Christian Perwass</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>