2nd IMA Conference on Mathematics of Robotics

2nd IMA Conference on Mathematics of Robotics PDF Author: William Holderbaum
Publisher: Springer Nature
ISBN: 303091352X
Category : Technology & Engineering
Languages : en
Pages : 179

Get Book

Book Description
This book highlights the mathematical depth and sophistication of techniques used in different areas of robotics. Each chapter is a peer-reviewed version of a paper presented during the 2021 IMA Conference on the Mathematics of Robotics, held online September 8–10, 2021. The conference gave a platform to researchers with fundamental contributions and for academic and to share new ideas. The book illustrates some of the current interest in advanced mathematics and robotics such as algebraic geometry, tropical geometry, monodromy and homotopy continuation methods applied to areas such as kinematics, path planning, swam robotics, dynamics and control. It is hoped that the conference and this publications will stimulate further related mathematical research in robotics.

2nd IMA Conference on Mathematics of Robotics

2nd IMA Conference on Mathematics of Robotics PDF Author: William Holderbaum
Publisher: Springer Nature
ISBN: 303091352X
Category : Technology & Engineering
Languages : en
Pages : 179

Get Book

Book Description
This book highlights the mathematical depth and sophistication of techniques used in different areas of robotics. Each chapter is a peer-reviewed version of a paper presented during the 2021 IMA Conference on the Mathematics of Robotics, held online September 8–10, 2021. The conference gave a platform to researchers with fundamental contributions and for academic and to share new ideas. The book illustrates some of the current interest in advanced mathematics and robotics such as algebraic geometry, tropical geometry, monodromy and homotopy continuation methods applied to areas such as kinematics, path planning, swam robotics, dynamics and control. It is hoped that the conference and this publications will stimulate further related mathematical research in robotics.

Essays on Mathematical Robotics

Essays on Mathematical Robotics PDF Author: John Baillieul
Publisher: Springer Science & Business Media
ISBN: 1461217105
Category : Mathematics
Languages : en
Pages : 382

Get Book

Book Description
The chapters in this book present an excellent exposition of recent developments in both robotics and nonlinear control centering around "hyper-redundancy", highly oscillatory inputs, optimal control, exterior differential systems, and the use of generic loops. The principal topics covered in the book are: adaptive control for a class of nonlinear systems, event-based motion planning, nonlinear control synthesis and path planning in robotics with special emphasis on nonholonomic and "hyper-redundant" robotic systems, control design and stabilization of driftless affine control systems (of the type arising in the kinematic control of nonholonomic robotic systems), control design methods for Hamiltonian systems and exterior differential systems. The chapter covering exterior differential systems contains a detailed introduction to the use of exterior differential methods, including the Goursat and extended Goursat normal forms and their application to path planning for nonholonomic systems.

MUS - Mathematimus - Hyperelliptical Geometry

MUS - Mathematimus - Hyperelliptical Geometry PDF Author: Stenio Musich
Publisher: Stenio Musich
ISBN: 6500981073
Category : Mathematics
Languages : en
Pages : 1050

Get Book

Book Description
M.U.S. (Mathematical Uniform Space) is a new number of π (pi), representing the reality of the Universe in which we live. With this number, we created a new geometry, Hyperelliptical Geometry, which will provide the unification of physics, thus uniting the Theory of Relativity and Quantum Theory. A new geometry for a new Mathematics and a new Physics. (ISBN 978-65-00-98107-0).

Robotics

Robotics PDF Author: Kevin Warwick
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 624

Get Book

Book Description
Recent advances and development in the field of robotics, with emphasis on the mathematical and computational aspects, are presented in this volume. The papers are grouped under several themes which span the broad scope of modern robotics, including sensory systems, computational parallel processing aspects, kinematics, dynamics and robot control, manufacturing environment and artificial intelligence. Each area can be treated as a self-contained unit or in terms of its relationship with other areas of the field. As an international overview of the present-day research in robotics, this book should be of interest to those wishing to become more acquainted with the topic, including academic and industrial researchers in the areas of systems, robotics, and advanced manufacturing techniques.

Geometric Fundamentals of Robotics

Geometric Fundamentals of Robotics PDF Author: J.M. Selig
Publisher: Springer Science & Business Media
ISBN: 0387272747
Category : Technology & Engineering
Languages : en
Pages : 402

Get Book

Book Description
* 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

Handbook of Geometric Constraint Systems Principles

Handbook of Geometric Constraint Systems Principles PDF Author: Meera Sitharam
Publisher: CRC Press
ISBN: 1498738923
Category : Mathematics
Languages : en
Pages : 605

Get Book

Book Description
The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical and computational tools and techniques of the geometric constraint system (GCS). It functions as a single source containing the core principles and results, accessible to both beginners and experts. The handbook provides a guide for students learning basic concepts, as well as experts looking to pinpoint specific results or approaches in the broad landscape. As such, the editors created this handbook to serve as a useful tool for navigating the varied concepts, approaches and results found in GCS research. Key Features: A comprehensive reference handbook authored by top researchers Includes fundamentals and techniques from multiple perspectives that span several research communities Provides recent results and a graded program of open problems and conjectures Can be used for senior undergraduate or graduate topics course introduction to the area Detailed list of figures and tables About the Editors: Meera Sitharam is currently an Associate Professor at the University of Florida’s Department of Computer & Information Science and Engineering. She received her Ph.D. at the University of Wisconsin, Madison. Audrey St. John is an Associate Professor of Computer Science at Mount Holyoke College, who received her Ph. D. from UMass Amherst. Jessica Sidman is a Professor of Mathematics on the John S. Kennedy Foundation at Mount Holyoke College. She received her Ph.D. from the University of Michigan.

Mobile Robots Navigation

Mobile Robots Navigation PDF Author: Alejandra Barrera
Publisher: BoD – Books on Demand
ISBN: 9533070765
Category : Technology & Engineering
Languages : en
Pages : 684

Get Book

Book Description
Mobile robots navigation includes different interrelated activities: (i) perception, as obtaining and interpreting sensory information; (ii) exploration, as the strategy that guides the robot to select the next direction to go; (iii) mapping, involving the construction of a spatial representation by using the sensory information perceived; (iv) localization, as the strategy to estimate the robot position within the spatial map; (v) path planning, as the strategy to find a path towards a goal location being optimal or not; and (vi) path execution, where motor actions are determined and adapted to environmental changes. The book addresses those activities by integrating results from the research work of several authors all over the world. Research cases are documented in 32 chapters organized within 7 categories next described.

The Mathematics of Surfaces IX

The Mathematics of Surfaces IX PDF Author: Roberto Cipolla
Publisher: Springer Science & Business Media
ISBN: 1447104951
Category : Technology & Engineering
Languages : en
Pages : 510

Get Book

Book Description
These proceedings collect the papers accepted for presentation at the bien nial IMA Conference on the Mathematics of Surfaces, held in the University of Cambridge, 4-7 September 2000. While there are many international con ferences in this fruitful borderland of mathematics, computer graphics and engineering, this is the oldest, the most frequent and the only one to concen trate on surfaces. Contributors to this volume come from twelve different countries in Eu rope, North America and Asia. Their contributions reflect the wide diversity of present-day applications which include modelling parts of the human body for medical purposes as well as the production of cars, aircraft and engineer ing components. Some applications involve design or construction of surfaces by interpolating or approximating data given at points or on curves. Others consider the problem of 'reverse engineering'-giving a mathematical descrip tion of an already constructed object. We are particularly grateful to Pamela Bye (at the Institue of Mathemat ics and its Applications) for help in making arrangements; Stephanie Harding and Karen Barker (at Springer Verlag, London) for publishing this volume and to Kwan-Yee Kenneth Wong (Cambridge) for his heroic help with com piling the proceedings and for dealing with numerous technicalities arising from large and numerous computer files. Following this Preface is a listing of the programme committee who with the help of their colleagues did much work in refereeing the papers for these proceedings.

Algorithmic Foundations of Robotics V

Algorithmic Foundations of Robotics V PDF Author: Jean-Daniel Boissonnat
Publisher: Springer Science & Business Media
ISBN: 9783540404767
Category : Technology & Engineering
Languages : en
Pages : 600

Get Book

Book Description
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.

Genetic Algorithms and Robotics

Genetic Algorithms and Robotics PDF Author: Yuval Davidor
Publisher: World Scientific
ISBN: 9789810202170
Category : Technology & Engineering
Languages : en
Pages : 192

Get Book

Book Description
Classical optimization methodologies fall short in very large and complex domains. In this book is suggested a different approach to optimization, an approach which is based on the 'blind' and heuristic mechanisms of evolution and population genetics. The genetic approach to optimization introduces a new philosophy to optimization in general, but particularly to engineering. By introducing the ?genetic? approach to robot trajectory generation, much can be learned about the adaptive mechanisms of evolution and how these mechanisms can solve real world problems. It is suggested further that optimization at large may benefit greatly from the adaptive optimization exhibited by natural systems when attempting to solve complex optimization problems, and that the determinism of classical optimization models may sometimes be an obstacle in nonlinear systems.This book is unique in that it reports in detail on an application of genetic algorithms to a real world problem, and explains the considerations taken during the development work. Futhermore, it addresses robotics in two new aspects: the optimization of the trajectory specification which has so far been done by human operators and has not received much attention for both automation and optimization, and the introduction of a heuristic strategy to a field predominated by deterministic strategies.