Geometry And Robotics
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Geometric Fundamentals Of Robotics
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Author : J.M. Selig
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-13
Geometric Fundamentals Of Robotics written by J.M. Selig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-13 with Technology & Engineering categories.
Geometric Fundamentals of Robotics provides an elegant introduction to the geometric concepts that are important to applications in robotics. This second edition is still unique in providing a deep understanding of the subject: rather than focusing on computational results in kinematics and robotics, it includes significant state-of-the-art material that reflects important advances in the field, connecting robotics back to mathematical fundamentals in group theory and geometry. Geometric Fundamentals of Robotics serves a wide audience of graduate students as well as researchers in a variety of areas, notably mechanical engineering, computer science, and applied mathematics. It is also an invaluable reference text.
Geometry And Robotics
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Author : Jean-Daniel Boissonnat
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-10-11
Geometry And Robotics written by Jean-Daniel Boissonnat and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-10-11 with Technology & Engineering categories.
The role played by hormones in the development and treatment of malignant tumors has been controversial for nearly 50 years. The present volume concentrates on substantiated data obtained from the study of tumors developing from hormone-related or hormone-producing tissue, for example the thyroid, adrenal glands, prostate, and the female genital tract. Combining expertise from the fields of molecular biology, biochemistry, and histopathology, advances in the management of these tumors are elaborated. The book also provides information on the endonuclear diagnosis of adrenal tumors. Antihormones have proved to be important as they exhibit a destructive effect on prostate carcinomas and breast cancer. In addition, a special chapter discusses the diffuse endocrine cell system (DECS). Bridging the gap between molecular biology and endocrine therapy, the editors present innovative data on many aspects of hormone-related malignant tumors and offer both a survey of present knowledge and a basis for further research.
Algebraic Geometry For Robotics And Control Theory
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Author : Laura Menini
language : en
Publisher: World Scientific
Release Date : 2021-09-02
Algebraic Geometry For Robotics And Control Theory written by Laura Menini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-02 with Technology & Engineering categories.
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.
Geometrical Methods In Robotics
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Author : J.M. Selig
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Geometrical Methods In Robotics written by J.M. Selig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Computers categories.
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.
Algorithmic And Geometric Aspects Of Robotics Routledge Revivals
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Author : Jacob T. Schwartz
language : en
Publisher: Routledge
Release Date : 2016-07-01
Algorithmic And Geometric Aspects Of Robotics Routledge Revivals written by Jacob T. Schwartz and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-01 with Computers categories.
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.
Geometry And Robotics
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Author : Jean-Daniel Boissonnat
language : en
Publisher: Springer
Release Date : 2014-03-12
Geometry And Robotics written by Jean-Daniel Boissonnat and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Technology & Engineering categories.
Algebraic Geometry For Robotics And Control Theory
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Author : Laura Menini
language : en
Publisher:
Release Date : 2021
Algebraic Geometry For Robotics And Control Theory written by Laura Menini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Control theory categories.
"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"--
Principles Of Computational Geometry
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Author : Devang Patil
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Principles Of Computational Geometry written by Devang Patil and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Principles of Computational Geometry" delves into the intersection of mathematics, algorithms, and computer science to solve geometric problems using computational methods. We cover a wide range of topics, from fundamental geometric concepts to advanced algorithmic techniques. Our book explores geometric data structures and algorithms designed to efficiently tackle issues like geometric modeling, spatial analysis, and geometric optimization. We introduce readers to key concepts like convex hulls, Voronoi diagrams, and Delaunay triangulations, which serve as building blocks for solving complex geometric problems. Additionally, we discuss techniques for geometric transformation, intersection detection, and geometric search, providing the tools needed to analyze and manipulate geometric data effectively. Throughout the text, we highlight practical applications of computational geometry, ranging from computer graphics and image processing to robotics and geographic information systems. We also explore the theoretical underpinnings of computational geometry, offering insights into the mathematical foundations of algorithms and their computational complexity. Overall, "Principles of Computational Geometry" serves as a comprehensive guide for students, researchers, and practitioners interested in leveraging computational methods to solve geometric problems efficiently and effectively. With its blend of theory and practical applications, our book offers a valuable resource for anyone exploring the rich and diverse field of computational geometry.
Advances In Robot Kinematics And Computational Geometry
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Author : Jadran Lenarčič
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Advances In Robot Kinematics And Computational Geometry written by Jadran Lenarčič and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Technology & Engineering categories.
Recently, research in robot kinematics has attracted researchers with different theoretical profiles and backgrounds, such as mechanical and electrica! engineering, computer science, and mathematics. It includes topics and problems that are typical for this area and cannot easily be met elsewhere. As a result, a specialised scientific community has developed concentrating its interest in a broad class of problems in this area and representing a conglomeration of disciplines including mechanics, theory of systems, algebra, and others. Usually, kinematics is referred to as the branch of mechanics which treats motion of a body without regard to the forces and moments that cause it. In robotics, kinematics studies the motion of robots for programming, control and design purposes. It deals with the spatial positions, orientations, velocities and accelerations of the robotic mechanisms and objects to be manipulated in a robot workspace. The objective is to find the most effective mathematical forms for mapping between various types of coordinate systems, methods to minimise the numerical complexity of algorithms for real-time control schemes, and to discover and visualise analytical tools for understanding and evaluation of motion properties ofvarious mechanisms used in a robotic system.
Geometry In Robotics
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Author : Eduardo Bayro Corrochano
language : en
Publisher:
Release Date : 2008
Geometry In Robotics written by Eduardo Bayro Corrochano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Geometry categories.