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The Resource Geometric Algebra Applications Vol. II : Robot Modelling and Control, by Eduardo Bayro-Corrochano, (electronic resource)

Geometric Algebra Applications Vol. II : Robot Modelling and Control, by Eduardo Bayro-Corrochano, (electronic resource)

Creator
Summary
The goal of Geometric Algebra Applications Vol. II: Robot Modeling and Control is to present a unified mathematical treatment of diverse problems in the general domain of robotics and associated fields using Clifford, or geometric algebra. By treating a wide spectrum of problems in a common language, this Volume II offers both new insights and new solutions that should be useful to scientists, and engineers working in different areas related with robotics. Topics and features -Introduces a no specialists to Clifford, or geometric, algebra and by examples encourages the reader to learn to compute using geometric entities and geometric formulations. -A study in depth for applications of Lie group theory, Lie algebra, spinors and versors and the algebra of incidence using the universal geometric algebra generated by reciprocal null cones. -Includes a thorough study of kinematics, differential kinematics and dynamics using geometric algebra. The Euler Lagrange and Hamiltonians equations for dynamics are developed using conformal geometric algebra and the recursive Newton-Euler using screw theory in the motor algebra framework. A thorough study of robot modeling and nonlinear controllers. -Thorough discussion of several applications in computer vision, graphics, neurocomputing, quantum computing, robotics and control engineering using the geometric algebra framework. -209 exercises and hints for the development of future computer software packages for extensive calculations in geometric algebra. A entire section is dedicated to explain how one should write the subroutines in C++, Matlab and Maple to carry out efficient geometric computations in the geometric algebra framework. Furthermore it is shown how program code can be optimized for real time computations. -The book is an essential resource for applied physicists, computer scientists, AI researchers, roboticists and mechanical and electrical engineers, it clarifies and demonstrates the importance of geometric computing for building autonomous systems and push forward advances in cognitive systems research.--
Language
eng
Work
Publication
Edition
1st ed. 2020.
Extent
1 online resource (XXIX, 600 pages)
Contents
  • Geometric Algebra for Modeling in Robotic Physics
  • Introduction to Geometric Algebra
  • Lie Algebras, Lie Groups and Algebra of Incidence
  • 2D, 3D and 4D Geometric Algebras
  • Kinematics of the 2D and 3D Spaces
  • Conformal Geometric Algebra
  • Programming Issues
  • Rigid Motion Interpolation
  • Robot Kinematics
  • Robot Dynamics
  • Control of Robot Manipulators
  • Robot Neurocontrol
  • Robot Control and Tracking
  • Rigid Motion Estimation Using Line Observations
  • Tracker Endoscope Calibration and Body-Sensors Calibration
  • Tracking, Grasping and Object Manipulation
  • 3D Maps, Navigation and Relocalization
  • Quadrotor
  • Modeling and Registration of Medical Data
  • Geometric Computing for Minimal Invasive Surgery
Isbn
9783030349783
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-34978-3
Instance
Label
Geometric Algebra Applications Vol. II : Robot Modelling and Control
Title
Geometric Algebra Applications Vol. II
Title remainder
Robot Modelling and Control
Statement of responsibility
by Eduardo Bayro-Corrochano
Creator
Subject
Language
eng
Summary
The goal of Geometric Algebra Applications Vol. II: Robot Modeling and Control is to present a unified mathematical treatment of diverse problems in the general domain of robotics and associated fields using Clifford, or geometric algebra. By treating a wide spectrum of problems in a common language, this Volume II offers both new insights and new solutions that should be useful to scientists, and engineers working in different areas related with robotics. Topics and features -Introduces a no specialists to Clifford, or geometric, algebra and by examples encourages the reader to learn to compute using geometric entities and geometric formulations. -A study in depth for applications of Lie group theory, Lie algebra, spinors and versors and the algebra of incidence using the universal geometric algebra generated by reciprocal null cones. -Includes a thorough study of kinematics, differential kinematics and dynamics using geometric algebra. The Euler Lagrange and Hamiltonians equations for dynamics are developed using conformal geometric algebra and the recursive Newton-Euler using screw theory in the motor algebra framework. A thorough study of robot modeling and nonlinear controllers. -Thorough discussion of several applications in computer vision, graphics, neurocomputing, quantum computing, robotics and control engineering using the geometric algebra framework. -209 exercises and hints for the development of future computer software packages for extensive calculations in geometric algebra. A entire section is dedicated to explain how one should write the subroutines in C++, Matlab and Maple to carry out efficient geometric computations in the geometric algebra framework. Furthermore it is shown how program code can be optimized for real time computations. -The book is an essential resource for applied physicists, computer scientists, AI researchers, roboticists and mechanical and electrical engineers, it clarifies and demonstrates the importance of geometric computing for building autonomous systems and push forward advances in cognitive systems research.--
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Bayro-Corrochano, Eduardo
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Springer eBooks.
http://library.link/vocab/subjectName
  • Algebraic geometry
  • Computational intelligence
  • Control engineering
  • Robotics
  • Mechatronics
  • Artificial intelligence
  • Computational complexity
Label
Geometric Algebra Applications Vol. II : Robot Modelling and Control, by Eduardo Bayro-Corrochano, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-34978-3
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Geometric Algebra for Modeling in Robotic Physics -- Introduction to Geometric Algebra -- Lie Algebras, Lie Groups and Algebra of Incidence -- 2D, 3D and 4D Geometric Algebras -- Kinematics of the 2D and 3D Spaces -- Conformal Geometric Algebra -- Programming Issues -- Rigid Motion Interpolation -- Robot Kinematics -- Robot Dynamics -- Control of Robot Manipulators -- Robot Neurocontrol -- Robot Control and Tracking -- Rigid Motion Estimation Using Line Observations -- Tracker Endoscope Calibration and Body-Sensors Calibration -- Tracking, Grasping and Object Manipulation -- 3D Maps, Navigation and Relocalization -- Quadrotor -- Modeling and Registration of Medical Data -- Geometric Computing for Minimal Invasive Surgery
Control code
978-3-030-34978-3
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource (XXIX, 600 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030349783
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
256 illustrations, 167 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1163833912
Label
Geometric Algebra Applications Vol. II : Robot Modelling and Control, by Eduardo Bayro-Corrochano, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-34978-3
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Geometric Algebra for Modeling in Robotic Physics -- Introduction to Geometric Algebra -- Lie Algebras, Lie Groups and Algebra of Incidence -- 2D, 3D and 4D Geometric Algebras -- Kinematics of the 2D and 3D Spaces -- Conformal Geometric Algebra -- Programming Issues -- Rigid Motion Interpolation -- Robot Kinematics -- Robot Dynamics -- Control of Robot Manipulators -- Robot Neurocontrol -- Robot Control and Tracking -- Rigid Motion Estimation Using Line Observations -- Tracker Endoscope Calibration and Body-Sensors Calibration -- Tracking, Grasping and Object Manipulation -- 3D Maps, Navigation and Relocalization -- Quadrotor -- Modeling and Registration of Medical Data -- Geometric Computing for Minimal Invasive Surgery
Control code
978-3-030-34978-3
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource (XXIX, 600 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030349783
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
256 illustrations, 167 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1163833912

Subject

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