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Geometrical Foundations of Robotics

Geometrical Foundations of Robotics
Author: J. M. Selig
Publisher: World Scientific
Total Pages: 166
Release: 2000
Genre: Computers
ISBN: 9810241135

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This book is a collection of talks presented at the 1998 IEEE International Conference on Robotics and Automation. Broadly, the meeting discussed the application of modern geometrical methods to problems in robotics. There are now a few textbooks in this area and more papers in the literature. The aim of this book is to introduce these ideas, their simplicity and power, to a wider audience. The first three chapters give an introduction to the Lie group and Lie algebras. The focus is on the group of rigid body transformations in space, namely the Lie group which is fundamental to robotics. The following chapters provide an overview of some of the most up-to-date work in the field of geometrical methods in robotics and have been written by some of the leading researchers in the field. The applications addressed cover the design of robot kinematics, the analysis of singularities in robots and mechanisms, and a geometric view of some computational issues.


Geometric Fundamentals of Robotics

Geometric Fundamentals of Robotics
Author: J.M. Selig
Publisher: Springer
Total Pages: 398
Release: 2010-11-25
Genre: Technology & Engineering
ISBN: 9781441919298

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* Provides an elegant introduction to the geometric concepts that are important to applications in robotics * Includes significant state-of-the art material that reflects important advances, connecting robotics back to mathematical fundamentals in group theory and geometry * An invaluable reference that serves a wide audience of grad students and researchers in mechanical engineering, computer science, and applied mathematics


Geometric Fundamentals of Robotics

Geometric Fundamentals of Robotics
Author: J.M. Selig
Publisher: Springer Science & Business Media
Total Pages: 402
Release: 2007-12-13
Genre: Technology & Engineering
ISBN: 0387272747

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* Provides an elegant introduction to the geometric concepts that are important to applications in robotics * Includes significant state-of-the art material that reflects important advances, connecting robotics back to mathematical fundamentals in group theory and geometry * An invaluable reference that serves a wide audience of grad students and researchers in mechanical engineering, computer science, and applied mathematics


Algorithmic Foundations of Robotics VIII

Algorithmic Foundations of Robotics VIII
Author: Gregory S. Chirikjian
Publisher: Springer Science & Business Media
Total Pages: 673
Release: 2010-02-04
Genre: Technology & Engineering
ISBN: 3642003117

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This book contains selected contributions to WAFR, the highly-competitive meeting on the algorithmic foundations of robotics. They address the unique combination of questions that the design and analysis of robot algorithms inspires.


Multi-View Geometry Based Visual Perception and Control of Robotic Systems

Multi-View Geometry Based Visual Perception and Control of Robotic Systems
Author: Jian Chen
Publisher: CRC Press
Total Pages: 303
Release: 2018-06-14
Genre: Computers
ISBN: 0429951221

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This book describes visual perception and control methods for robotic systems that need to interact with the environment. Multiple view geometry is utilized to extract low-dimensional geometric information from abundant and high-dimensional image information, making it convenient to develop general solutions for robot perception and control tasks. In this book, multiple view geometry is used for geometric modeling and scaled pose estimation. Then Lyapunov methods are applied to design stabilizing control laws in the presence of model uncertainties and multiple constraints.


Algorithmic Foundations of Robotics VI

Algorithmic Foundations of Robotics VI
Author: Michael Erdmann
Publisher: Springer Science & Business Media
Total Pages: 480
Release: 2005-06-23
Genre: Technology & Engineering
ISBN: 9783540257288

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Robot algorithms are abstractions of computational processes that control or reason about motion and perception in the physical world. Because actions in the physical world are subject to physical laws and geometric constraints, the design and analysis of robot algorithms raise a unique combination of questions in control theory, computational and differential geometry, and computer science. Algorithms serve as a unifying theme in the multi-disciplinary field of robotics. This volume consists of selected contributions to the sixth Workshop on the Algorithmic Foundations of Robotics. This is a highly competitive meeting of experts in the field of algorithmic issues related to robotics and automation.


Geometric and Numerical Foundations of Movements

Geometric and Numerical Foundations of Movements
Author: Jean-Paul Laumond
Publisher: Springer
Total Pages: 417
Release: 2017-05-02
Genre: Technology & Engineering
ISBN: 3319515470

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This book aims at gathering roboticists, control theorists, neuroscientists, and mathematicians, in order to promote a multidisciplinary research on movement analysis. It follows the workshop “ Geometric and Numerical Foundations of Movements ” held at LAAS-CNRS in Toulouse in November 2015[1]. Its objective is to lay the foundations for a mutual understanding that is essential for synergetic development in motion research. In particular, the book promotes applications to robotics --and control in general-- of new optimization techniques based on recent results from real algebraic geometry.


Algorithmic Foundations of Robotics X

Algorithmic Foundations of Robotics X
Author: Emilio Frazzoli
Publisher: Springer
Total Pages: 625
Release: 2013-02-14
Genre: Technology & Engineering
ISBN: 3642362796

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Algorithms are a fundamental component of robotic systems. Robot algorithms process inputs from sensors that provide noisy and partial data, build geometric and physical models of the world, plan high-and low-level actions at different time horizons, and execute these actions on actuators with limited precision. The design and analysis of robot algorithms raise a unique combination of questions from many elds, including control theory, computational geometry and topology, geometrical and physical modeling, reasoning under uncertainty, probabilistic algorithms, game theory, and theoretical computer science. The Workshop on Algorithmic Foundations of Robotics (WAFR) is a single-track meeting of leading researchers in the eld of robot algorithms. Since its inception in 1994, WAFR has been held every other year, and has provided one of the premiere venues for the publication of some of the eld's most important and lasting contributions. This books contains the proceedings of the tenth WAFR, held on June 13{15 2012 at the Massachusetts Institute of Technology. The 37 papers included in this book cover a broad range of topics, from fundamental theoretical issues in robot motion planning, control, and perception, to novel applications.


Algorithmic Foundations of Robotics V

Algorithmic Foundations of Robotics V
Author: Jean-Daniel Boissonnat
Publisher: Springer Science & Business Media
Total Pages: 600
Release: 2003-09-11
Genre: Technology & Engineering
ISBN: 9783540404767

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Selected contributions to the Workshop WAFR 2002, held December 15-17, 2002, Nice, France. This fifth biannual Workshop on Algorithmic Foundations of Robotics focuses on algorithmic issues related to robotics and automation. The design and analysis of robot algorithms raises fundamental questions in computer science, computational geometry, mechanical modeling, operations research, control theory, and associated fields. The highly selective program highlights significant new results such as algorithmic models and complexity bounds. The validation of algorithms, design concepts, or techniques is the common thread running through this focused collection.


Robots and Screw Theory

Robots and Screw Theory
Author: J. K. Davidson
Publisher: Oxford University Press
Total Pages: 477
Release: 2004-03-25
Genre: Technology & Engineering
ISBN: 0192516280

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Robots and Screw Theory describes the mathematical foundations, especially geometric, underlying the motions and force-transfers in robots. The principles developed in the book are used in the control of robots and in the design of their major moving parts. The illustrative examples and the exercises in the book are taken principally from robotic machinery used for manufacturing and construction, but the principles apply equally well to miniature robotic devices and to those used in other industries. The comprehensive coverage of the screw and its geometry lead to reciprocal screw systems for statics and instantaneous kinematics. These screw systems are brought together in a unique way to show many cross-relationships between the force-systems that support a body equivalently to a kinematic serial connection of joints and links. No prior knowledge of screw theory is assumed. The reader is introduced to the screw with a simple planar example yet most of the book applies to robots that move three-dimensionally. Consequently, the book is suitable both as a text at the graduate-course level and as a reference book for the professional. Worked examples on every major topic and over 300 exercises clarify and reinforce the principles covered in the text. A chapter-length list of references gives the reader source-material and opportunities to pursue more fully topics contained in the text.