Geometrical Methods in Robotics

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Publisher : Springer Science & Business Media
ISBN 13 : 1475724845
Total Pages : 273 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Geometrical Methods in Robotics by : J.M. Selig

Download or read book Geometrical Methods in Robotics written by J.M. Selig and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of this book is to introduce Lie groups and allied algebraic and geometric concepts to a robotics audience. These topics seem to be quite fashionable at the moment, but most of the robotics books that touch on these topics tend to treat Lie groups as little more than a fancy notation. I hope to show the power and elegance of these methods as they apply to problems in robotics. A subsidiary aim of the book is to reintroduce some old ideas by describing them in modem notation, particularly Study's Quadric-a description of the group of rigid motions in three dimensions as an algebraic variety (well, actually an open subset in an algebraic variety)-as well as some of the less well known aspects of Ball's theory of screws. In the first four chapters, a careful exposition of the theory of Lie groups and their Lie algebras is given. Except for the simplest examples, all examples used to illustrate these ideas are taken from robotics. So, unlike most standard texts on Lie groups, emphasis is placed on a group that is not semi-simple-the group of proper Euclidean motions in three dimensions. In particular, the continuous subgroups of this group are found, and the elements of its Lie algebra are identified with the surfaces of the lower Reuleaux pairs. These surfaces were first identified by Reuleaux in the latter half of the 19th century.

Geometric Fundamentals of Robotics

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387272747
Total Pages : 402 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Geometric Fundamentals of Robotics by : J.M. Selig

Download or read book Geometric Fundamentals of Robotics written by J.M. Selig and published by Springer Science & Business Media. This book was released on 2007-12-13 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: * 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, 2E

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Publisher :
ISBN 13 : 9788184893700
Total Pages : 415 pages
Book Rating : 4.8/5 (937 download)

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Book Synopsis Geometric Fundamentals Of Robotics, 2E by : Selig

Download or read book Geometric Fundamentals Of Robotics, 2E written by Selig and published by . This book was released on 2009-09-01 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometrical Foundations of Robotics

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Author :
Publisher : World Scientific
ISBN 13 : 9810241135
Total Pages : 166 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Geometrical Foundations of Robotics by : J. M. Selig

Download or read book Geometrical Foundations of Robotics written by J. M. Selig and published by World Scientific. This book was released on 2000 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Mathematical Introduction to Robotic Manipulation

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Author :
Publisher : CRC Press
ISBN 13 : 1351469797
Total Pages : 503 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis A Mathematical Introduction to Robotic Manipulation by : Richard M. Murray

Download or read book A Mathematical Introduction to Robotic Manipulation written by Richard M. Murray and published by CRC Press. This book was released on 2017-12-14 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Mathematical Introduction to Robotic Manipulation presents a mathematical formulation of the kinematics, dynamics, and control of robot manipulators. It uses an elegant set of mathematical tools that emphasizes the geometry of robot motion and allows a large class of robotic manipulation problems to be analyzed within a unified framework. The foundation of the book is a derivation of robot kinematics using the product of the exponentials formula. The authors explore the kinematics of open-chain manipulators and multifingered robot hands, present an analysis of the dynamics and control of robot systems, discuss the specification and control of internal forces and internal motions, and address the implications of the nonholonomic nature of rolling contact are addressed, as well. The wealth of information, numerous examples, and exercises make A Mathematical Introduction to Robotic Manipulation valuable as both a reference for robotics researchers and a text for students in advanced robotics courses.

Algorithmic and Geometric Aspects of Robotics (Routledge Revivals)

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Author :
Publisher : Routledge
ISBN 13 : 1315471434
Total Pages : 371 pages
Book Rating : 4.3/5 (154 download)

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Book Synopsis Algorithmic and Geometric Aspects of Robotics (Routledge Revivals) by : Jacob T. Schwartz

Download or read book Algorithmic and Geometric Aspects of Robotics (Routledge Revivals) written by Jacob T. Schwartz and published by Routledge. This book was released on 2016-07-01 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1987, the seven chapters that comprise this book review contemporary work on the geometric side of robotics. The first chapter defines the fundamental goal of robotics in very broad terms and outlines a research agenda each of whose items constitutes a substantial area for further research. The second chapter presents recently developed techniques that have begun to address the geometric side of this research agenda and the third reviews several applied geometric ideas central to contemporary work on the problem of motion planning. The use of Voronoi diagrams, a theme opened in these chapters, is explored further later in the book. The fourth chapter develops a theme in computational geometry having obvious significance for the simplification of practical robotics problems — the approximation or decomposition of complex geometric objects into simple ones. The final chapters treat two examples of a class of geometric ‘reconstruction’ problem that have immediate application to computer-aided geometric design systems.

Algebraic Geometry For Robotics And Control Theory

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Author :
Publisher : World Scientific
ISBN 13 : 1800610475
Total Pages : 615 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Algebraic Geometry For Robotics And Control Theory by : Laura Menini

Download or read book Algebraic Geometry For Robotics And Control Theory written by Laura Menini and published by World Scientific. This book was released on 2021-09-02 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of inexpensive and fast computers, coupled with the discovery of efficient algorithms for dealing with polynomial equations, has enabled exciting new applications of algebraic geometry and commutative algebra. Algebraic Geometry for Robotics and Control Theory shows how tools borrowed from these two fields can be efficiently employed to solve relevant problem arising in robotics and control theory.After a brief introduction to various algebraic objects and techniques, the book first covers a wide variety of topics concerning control theory, robotics, and their applications. Specifically this book shows how these computational and theoretical methods can be coupled with classical control techniques to: solve the inverse kinematics of robotic arms; design observers for nonlinear systems; solve systems of polynomial equalities and inequalities; plan the motion of mobile robots; analyze Boolean networks; solve (possibly, multi-objective) optimization problems; characterize the robustness of linear; time-invariant plants; and certify positivity of polynomials.

Robots and Screw Theory

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Author :
Publisher : Oxford University Press
ISBN 13 : 0192516280
Total Pages : 477 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Robots and Screw Theory by : J. K. Davidson

Download or read book Robots and Screw Theory written by J. K. Davidson and published by Oxford University Press. This book was released on 2004-03-25 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Robotics, Vision and Control

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Author :
Publisher : Springer
ISBN 13 : 364220144X
Total Pages : 572 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Robotics, Vision and Control by : Peter Corke

Download or read book Robotics, Vision and Control written by Peter Corke and published by Springer. This book was released on 2011-09-05 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author has maintained two open-source MATLAB Toolboxes for more than 10 years: one for robotics and one for vision. The key strength of the Toolboxes provide a set of tools that allow the user to work with real problems, not trivial examples. For the student the book makes the algorithms accessible, the Toolbox code can be read to gain understanding, and the examples illustrate how it can be used —instant gratification in just a couple of lines of MATLAB code. The code can also be the starting point for new work, for researchers or students, by writing programs based on Toolbox functions, or modifying the Toolbox code itself. The purpose of this book is to expand on the tutorial material provided with the toolboxes, add many more examples, and to weave this into a narrative that covers robotics and computer vision separately and together. The author shows how complex problems can be decomposed and solved using just a few simple lines of code, and hopefully to inspire up and coming researchers. The topics covered are guided by the real problems observed over many years as a practitioner of both robotics and computer vision. It is written in a light but informative style, it is easy to read and absorb, and includes a lot of Matlab examples and figures. The book is a real walk through the fundamentals of robot kinematics, dynamics and joint level control, then camera models, image processing, feature extraction and epipolar geometry, and bring it all together in a visual servo system. Additional material is provided at http://www.petercorke.com/RVC

Fundamentals Of Robotics: Linking Perception To Action

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Author :
Publisher : World Scientific Publishing Company
ISBN 13 : 9813102349
Total Pages : 716 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Fundamentals Of Robotics: Linking Perception To Action by : Xie Ming

Download or read book Fundamentals Of Robotics: Linking Perception To Action written by Xie Ming and published by World Scientific Publishing Company. This book was released on 2003-04-11 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tomorrow's robots, which includes the humanoid robot, can perform task like tutoring children, working as tour guides, driving humans to and from work, do the family shopping etc. Tomorrow's robots will enhance lives in ways we never dreamed possible. No time to attend the decisive meeting on Asian strategy? Let your robot go for you and make the decisions. Not feeling well enough to go to the clinic? Let Dr Robot come to you, make a diagnosis, and get you the necessary medicine for treatment. No time to coach the soccer team this week? Let the robot do it for you.Tomorrow's robots will be the most exciting and revolutionary things to happen to the world since the invention of the automobile. It will change the way we work, play, think, and live. Because of this, nowadays robotics is one of the most dynamic fields of scientific research. These days, robotics is offered in almost every university in the world. Most mechanical engineering departments offer a similar course at both the undergraduate and graduate levels. And increasingly, many computer and electrical engineering departments are also offering it.This book will guide you, the curious beginner, from yesterday to tomorrow. The book will cover practical knowledge in understanding, developing, and using robots as versatile equipment to automate a variety of industrial processes or tasks. But, the book will also discuss the possibilities we can look forward to when we are capable of creating a vision-guided, learning machine.

Geometric Algebra Applications Vol. II

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Author :
Publisher : Springer Nature
ISBN 13 : 3030349780
Total Pages : 609 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Geometric Algebra Applications Vol. II by : Eduardo Bayro-Corrochano

Download or read book Geometric Algebra Applications Vol. II written by Eduardo Bayro-Corrochano and published by Springer Nature. This book was released on 2020-06-19 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified mathematical treatment of diverse problems in the general domain of robotics and associated fields using Clifford or geometric alge- bra. By addressing a wide spectrum of problems in a common language, it offers both fresh insights and new solutions that are useful to scientists and engineers working in areas related with robotics. It introduces non-specialists to Clifford and geometric algebra, and provides ex- amples to help readers learn how to compute using geometric entities and geomet- ric formulations. It also includes an in-depth study of 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. Featuring a detailed study of kinematics, differential kinematics and dynamics using geometric algebra, the book also develops Euler Lagrange and Hamiltoni- ans equations for dynamics using conformal geometric algebra, and the recursive Newton-Euler using screw theory in the motor algebra framework. Further, it comprehensively explores robot modeling and nonlinear controllers, and discusses several applications in computer vision, graphics, neurocomputing, quantum com- puting, robotics and control engineering using the geometric algebra framework. The book also includes over 200 exercises and tips for the development of future computer software packages for extensive calculations in geometric algebra, and a entire section focusing on how to write the subroutines in C++, Matlab and Maple to carry out efficient geometric computations in the geometric algebra framework. Lastly, it shows how program code can be optimized for real-time computations. An essential resource for applied physicists, computer scientists, AI researchers, roboticists and mechanical and electrical engineers, the book clarifies and demon- strates the importance of geometric computing for building autonomous systems to advance cognitive systems research.

Screw Theory in Robotics

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Author :
Publisher : CRC Press
ISBN 13 : 1000481565
Total Pages : 255 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Screw Theory in Robotics by : Jose M. Pardos-Gotor

Download or read book Screw Theory in Robotics written by Jose M. Pardos-Gotor and published by CRC Press. This book was released on 2021-11-23 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Screw theory is an effective and efficient method used in robotics applications. This book demonstrates how to implement screw theory, explaining the key fundamentals and real-world applications using a practical and visual approach. An essential tool for those involved in the development of robotics implementations, the book uses case studies to analyze mechatronics. Screw theory offers a significant opportunity to interpret mechanics at a high level, facilitating contemporary geometric techniques in solving common robotics issues. Using these solutions results in an optimized performance in comparison to algebraic and numerical options. Demonstrating techniques such as six-dimensional (6D) vector notation and the Product of Exponentials (POE), the use of screw theory notation reduces the need for complex algebra, which results in simpler code, which is easier to write, comprehend, and debug. The book provides exercises and simulations to demonstrate this with new formulas and algorithms presented to aid the reader in accelerating their learning. By walking the user through the fundamentals of screw theory, and by providing a complete set of examples for the most common robot manipulator architecture, the book delivers an excellent foundation through which to comprehend screw theory developments. The visual approach of the book means it can be used as a self-learning tool for professionals alongside students. It will be of interest to those studying robotics, mechanics, mechanical engineering, and electrical engineering.

Systems, Patterns and Data Engineering with Geometric Calculi

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Publisher : Springer Nature
ISBN 13 : 3030744868
Total Pages : 179 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Systems, Patterns and Data Engineering with Geometric Calculi by : Sebastià Xambó-Descamps

Download or read book Systems, Patterns and Data Engineering with Geometric Calculi written by Sebastià Xambó-Descamps and published by Springer Nature. This book was released on 2021-07-16 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this collection agrees with the purposes of the homonymous mini-symposium (MS) at ICIAM-2019, which were to overview the essentials of geometric calculus (GC) formalism, to report on state-of-the-art applications showcasing its advantages and to explore the bearing of GC in novel approaches to deep learning. The first three contributions, which correspond to lectures at the MS, offer perspectives on recent advances in the application GC in the areas of robotics, molecular geometry, and medical imaging. The next three, especially invited, hone the expressiveness of GC in orientation measurements under different metrics, the treatment of contact elements, and the investigation of efficient computational methodologies. The last two, which also correspond to lectures at the MS, deal with two aspects of deep learning: a presentation of a concrete quaternionic convolutional neural network layer for image classification that features contrast invariance and a general overview of automatic learning aimed at steering the development of neural networks whose units process elements of a suitable algebra, such as a geometric algebra. The book fits, broadly speaking, within the realm of mathematical engineering, and consequently, it is intended for a wide spectrum of research profiles. In particular, it should bring inspiration and guidance to those looking for materials and problems that bridge GC with applications of great current interest, including the auspicious field of GC-based deep neural networks.

Introduction to Geometric Algebra Computing

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Author :
Publisher : CRC Press
ISBN 13 : 1351648217
Total Pages : 202 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Introduction to Geometric Algebra Computing by : Dietmar Hildenbrand

Download or read book Introduction to Geometric Algebra Computing written by Dietmar Hildenbrand and published by CRC Press. This book was released on 2020-12-30 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Foreword: "Dietmar Hildenbrand's new book, Introduction to Geometric Algebra Computing, in my view, fills an important gap in Clifford's geometric algebra literature...I can only congratulate the author for the daring simplicity of his novel educational approach taken in this book, consequently combined with hands on computer based exploration. Without noticing, the active reader will thus educate himself in elementary geometric algebra algorithm development, geometrically intuitive, highly comprehensible, and fully optimized." --Eckhard Hitzer, International Christian University, Tokyo, Japan Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small. The main goal of this book is to close this gap with an introduction to Geometric Algebra from an engineering/computing perspective. This book is intended to give a rapid introduction to computing with Geometric Algebra and its power for geometric modeling. From the geometric objects point of view, it focuses on the most basic ones, namely points, lines and circles. This algebra is called Compass Ruler Algebra, since it is comparable to working with a compass and ruler. The book explores how to compute with these geometric objects, and their geometric operations and transformations, in a very intuitive way. The book follows a top-down approach, and while it focuses on 2D, it is also easily expandable to 3D computations. Algebra in engineering applications such as computer graphics, computer vision and robotics are also covered.

Intelligent Robotics and Applications

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Author :
Publisher : Springer
ISBN 13 : 331943506X
Total Pages : 801 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Intelligent Robotics and Applications by : Naoyuki Kubota

Download or read book Intelligent Robotics and Applications written by Naoyuki Kubota and published by Springer. This book was released on 2016-08-02 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume set LNAI 9834 and 9835 constitutes the refereed proceedings of the 9th International Conference on Intelligent Robotics and Applications, ICIRA 2016, held in Tokyo, Japan, in August 2016. The 114 papers presented were carefully reviewed and selected from 148 submissions. The papers are organized in topical sections such as Robot Control; Robot Mechanism, Robot Vision and Sensing; Planning, Localization, and Mapping; Interactive Intelligence; Cognitive Robotics; Bio-Inspired Robotics; Smart Material Based Systems; Mechatronics Systems for Nondestructive Testing; Social Robotics; Human Support Robotics; Assistive Robotics; Intelligent Space; Sensing and Monitoring in Environment and Agricultural Sciences; Human Data Analysis; Robot Hand.

Theory of Applied Robotics

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Author :
Publisher : Springer Nature
ISBN 13 : 3030932206
Total Pages : 836 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Theory of Applied Robotics by : Reza N. Jazar

Download or read book Theory of Applied Robotics written by Reza N. Jazar and published by Springer Nature. This book was released on 2022-05-13 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Applied Robotics: Kinematics, Dynamics, and Control presents detailed robotics concepts at a theoretical-practical level, concentrating on their practical use. Related theorems and formal proofs are provided, as are real-life applications. This new edition is completely revised, and includes updated and expanded example sets and problems and new materials. This textbook is designed for undergraduate or first-year graduate programs in mechanical, systems, and industrial engineering. Practicing engineers, researchers, and related professionals will appreciate the book’s user-friendly presentation of a wealth of robotics topics, most notably in 3D kinematics and dynamics of manipulator robots.

Geometric Algebra Applications Vol. I

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Author :
Publisher : Springer
ISBN 13 : 3319748300
Total Pages : 742 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Geometric Algebra Applications Vol. I by : Eduardo Bayro-Corrochano

Download or read book Geometric Algebra Applications Vol. I written by Eduardo Bayro-Corrochano and published by Springer. This book was released on 2018-06-20 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Volume I Geometric Algebra for Computer Vision, Graphics and Neural Computing is to present a unified mathematical treatment of diverse problems in the general domain of artificial intelligence and associated fields using Clifford, or geometric, algebra. Geometric algebra provides a rich and general mathematical framework for Geometric Cybernetics in order to develop solutions, concepts and computer algorithms without losing geometric insight of the problem in question. Current mathematical subjects can be treated in an unified manner without abandoning the mathematical system of geometric algebra for instance: multilinear algebra, projective and affine geometry, calculus on manifolds, Riemann geometry, the representation of Lie algebras and Lie groups using bivector algebras and conformal geometry. By treating a wide spectrum of problems in a common language, this Volume I offers both new insights and new solutions that should be useful to scientists, and engineers working in different areas related with the development and building of intelligent machines. Each chapter is written in accessible terms accompanied by numerous examples, figures and a complementary appendix on Clifford algebras, all to clarify the theory and the crucial aspects of the application of geometric algebra to problems in graphics engineering, image processing, pattern recognition, computer vision, machine learning, neural computing and cognitive systems.