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On The Combinatorial Complexity Of Motion Coordination
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Author :Courant Institute of Mathematical Sciences. Computer Science Department Publisher : ISBN 13 : Total Pages : pages Book Rating :4.:/5 (727 download)
Book Synopsis On the Combinatorial Complexity of Motion Coordination by : Courant Institute of Mathematical Sciences. Computer Science Department
Download or read book On the Combinatorial Complexity of Motion Coordination written by Courant Institute of Mathematical Sciences. Computer Science Department and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Combinatorial Complexity of Motion Coordination (Classic Reprint) by : Paul Spirakis
Download or read book On the Combinatorial Complexity of Motion Coordination (Classic Reprint) written by Paul Spirakis and published by . This book was released on 2015-08-04 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On the Combinatorial Complexity of Motion Coordination We investigate the complexity of the problem of coordinating the motion of many planar rigid objects in a two dimensional space. Each object has a simple geometrical description (it is a box or a circle). The number of objects to be moved is part of the problem size. The plane where objects move is partitioned into two regions: The region of forbidden points, being a finite union of areas each bounded by a polygonal line, and its complement. During motion, objects are not allowed to overlap or to intersect the region of forbidden points, but they are allowed to be in contact with the boundary of obstacles or other objects. We analyze several variants of the above problem of motion planning and prove that they are NP-hard, in the strong sense. We also consider simple combinatorial planar graph-and-pebble models which capture certain non-geometric aspects of coordinated motion. We provide an algorithm for planning the motion of k.pebbles in an n-vertex planar graph, which is 0(n ). We also show that coordination of motion of n-1 distinct pebbles in an n-vertex graph, from a set of n-I distinct initial to n-1 distinct final positions, can be decided and planned in polynomial time inn. Finally, we show that certain problems of planning the motion of many pebbles, when the motion is nonsymmetric, or when the final positions are required to satisfy a combinatorial property, are NP-hard in the strong sense. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works."
Book Synopsis On the Combinatorial Complexity of Motion Coordination by : Paul G. Spirakis
Download or read book On the Combinatorial Complexity of Motion Coordination written by Paul G. Spirakis and published by Palala Press. This book was released on 2018-02-19 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Games of No Chance 3 by : Michael H. Albert
Download or read book Games of No Chance 3 written by Michael H. Albert and published by Cambridge University Press. This book was released on 2009-05-29 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating look at combinatorial games, that is, games not involving chance or hidden information, offers updates on standard games such as Go and Hex, on impartial games such as Chomp and Wythoff's Nim, and on aspects of games with infinitesimal values, plus analyses of the complexity of some games and puzzles and surveys on algorithmic game theory, on playing to lose, and on coping with cycles. The volume is rounded out with an up-to-date bibliography by Fraenkel and, for readers eager to get their hands dirty, a list of unsolved problems by Guy and Nowakowski. Highlights include some of Siegel's groundbreaking work on loopy games, the unveiling by Friedman and Landsberg of the use of renormalization to give very intriguing results about Chomp, and Nakamura's "Counting Liberties in Capturing Races of Go." Like its predecessors, this book should be on the shelf of all serious games enthusiasts.
Book Synopsis Games, Puzzles, and Computation by : Robert A. Hearn
Download or read book Games, Puzzles, and Computation written by Robert A. Hearn and published by CRC Press. This book was released on 2009-06-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors show that there are underlying mathematical reasons for why games and puzzles are challenging (and perhaps why they are so much fun). They also show that games and puzzles can serve as powerful models of computation-quite different from the usual models of automata and circuits-offering a new way of thinking about computation. The appen
Book Synopsis Towards Third Generation Robotics by : Bernard Espiau
Download or read book Towards Third Generation Robotics written by Bernard Espiau and published by . This book was released on 1987 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this conference was to constitute a platform of international information exchange on advanced robotics. The topics of the conference cover, as well as basic research, applications in control, modelling, vision, mobile robots, sensing, programming and teleoperation. In addition the conference provides an opportunity for the exchange of information on the progress of various national and international research and development projects.
Book Synopsis Planning Algorithms by : Steven Michael LaValle
Download or read book Planning Algorithms written by Steven Michael LaValle and published by . This book was released on 2006 with total page 826 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for computer scientists and engineers with interests in artificial intelligence, robotics, or control theory, this is the only book on this topic that integrates literature from several fields into a coherent source for teaching and reference in applications including robotics, computational biology, computer graphics, manufacturing, aerospace applications, and medicine.
Book Synopsis Algorithms and Complexity by : Dimitris Fotakis
Download or read book Algorithms and Complexity written by Dimitris Fotakis and published by Springer. This book was released on 2017-04-12 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed conference proceedings of the 10th International Conference on Algorithms and Complexity, CIAC 2017, held in Athens, Greece, in May 2017. The 36 revised full papers were carefully reviewed and selected from 90 submissions and are presented together with 3 abstracts of invited talks and a paper to the 70th birthday of Stathis Zachos. The papers present original research in the theory and applications of algorithms and computational complexity.
Book Synopsis Algorithms - ESA 2003 by : Giuseppe Di Battista
Download or read book Algorithms - ESA 2003 written by Giuseppe Di Battista and published by Springer. This book was released on 2003-10-02 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th Annual European Symposium on Algorithms, ESA 2003, held in Budapest, Hungary, in September 2003. The 66 revised full papers presented were carefully reviewed and selected from 165 submissions. The scope of the papers spans the entire range of algorithmics from design and mathematical analysis issues to real-world applications, engineering, and experimental analysis of algorithms.
Book Synopsis Combinatorial And Toric Homotopy: Introductory Lectures by : Darby Alastair
Download or read book Combinatorial And Toric Homotopy: Introductory Lectures written by Darby Alastair and published by World Scientific. This book was released on 2017-10-20 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning. The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis–Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. The book also displays the current research on configuration spaces, braids, the theory of limits over the category of presentations and the theory of fr-codes. As an application to robotics, the book surveys topological problems relevant to the motion planning problem of robotics and includes new results and constructions, which enrich the emerging area of topological robotics. The book is at research entry level addressing the core components in homotopy theory and their important applications in the sciences and thus suitable for advanced undergraduate and graduate students. Contents: Toric Homotopy Theory (Stephen Theriault)Fullerenes, Polytopes and Toric Topology (Victor M Buchstaber and Nikolay Yu Erokhovets)Around Braids (Vladimir Vershinin)Higher Limits, Homology Theories and fr-Codes (Sergei O Ivanov and Roman Mikhailov)Configuration Spaces and Robot Motion Planning Algorithms (Michael Farber)Cellular Stratified Spaces (Dai Tamaki) Readership: Advanced undergraduate and graduate students as well as researchers interested in homotopy theory and its applications in the sciences. Keywords: Toric Topology;Toric Homotopy;Configuration Space;Stratified Spaces;Braid Group;Fullerene;Polytope;Virtual Braid Group;Thompson Group;Robotics;Motion PlanningReview: Key Features: The first book in the area of toric homotopy theory consisting of introductory lectures on the topics and their applications to fr-codes and robot motion planning
Book Synopsis Handbook of Discrete and Computational Geometry by : Csaba D. Toth
Download or read book Handbook of Discrete and Computational Geometry written by Csaba D. Toth and published by CRC Press. This book was released on 2017-11-22 with total page 1928 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.
Book Synopsis Structural Information and Communication Complexity by : Andrea Werneck Richa
Download or read book Structural Information and Communication Complexity written by Andrea Werneck Richa and published by Springer Nature. This book was released on 2020-07-29 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed conference proceedings of the 27th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2020, held in Paderborn, Germany, in June 2020.* The 19 full papers and 2 invited papers presented in this book were carefully reviewed and selected from 41 submissions. They are divided into seven sections, i.e. invited papers; mobile robots; dynamic graphs; network communication; multi-agent systems; communication complexity; and game theory. * The conference was held virtually due to the COVID-19 pandemic.
Book Synopsis Distributed Control of Robotic Networks by : Francesco Bullo
Download or read book Distributed Control of Robotic Networks written by Francesco Bullo and published by Princeton University Press. This book was released on 2009-07-06 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained introduction to the distributed control of robotic networks offers a distinctive blend of computer science and control theory. The book presents a broad set of tools for understanding coordination algorithms, determining their correctness, and assessing their complexity; and it analyzes various cooperative strategies for tasks such as consensus, rendezvous, connectivity maintenance, deployment, and boundary estimation. The unifying theme is a formal model for robotic networks that explicitly incorporates their communication, sensing, control, and processing capabilities--a model that in turn leads to a common formal language to describe and analyze coordination algorithms. Written for first- and second-year graduate students in control and robotics, the book will also be useful to researchers in control theory, robotics, distributed algorithms, and automata theory. The book provides explanations of the basic concepts and main results, as well as numerous examples and exercises. Self-contained exposition of graph-theoretic concepts, distributed algorithms, and complexity measures for processor networks with fixed interconnection topology and for robotic networks with position-dependent interconnection topology Detailed treatment of averaging and consensus algorithms interpreted as linear iterations on synchronous networks Introduction of geometric notions such as partitions, proximity graphs, and multicenter functions Detailed treatment of motion coordination algorithms for deployment, rendezvous, connectivity maintenance, and boundary estimation
Book Synopsis Self-Organization in the Nervous System by : Yan M. Yufik
Download or read book Self-Organization in the Nervous System written by Yan M. Yufik and published by Frontiers Media SA. This book was released on 2017-11-30 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special issue reviews state-of-the-art approaches to the biophysical roots of cognition. These approaches appeal to the notion that cognitive capacities serve to optimize responses to changing external conditions. Crucially, this optimisation rests on the ability to predict changes in the environment, thus allowing organisms to respond pre-emptively to changes before their onset. The biophysical mechanisms that underwrite these cognitive capacities remain largely unknown; although a number of hypotheses has been advanced in systems neuroscience, biophysics and other disciplines. These hypotheses converge on the intersection of thermodynamic and information-theoretic formulations of self-organization in the brain. The latter perspective emerged when Shannon’s theory of message transmission in communication systems was used to characterise message passing between neurons. In its subsequent incarnations, the information theory approach has been integrated into computational neuroscience and the Bayesian brain framework. The thermodynamic formulation rests on a view of the brain as an aggregation of stochastic microprocessors (neurons), with subsequent appeal to the constructs of statistical mechanics and thermodynamics. In particular, the use of ensemble dynamics to elucidate the relationship between micro-scale parameters and those of the macro-scale aggregation (the brain). In general, the thermodynamic approach treats the brain as a dissipative system and seeks to represent the development and functioning of cognitive mechanisms as collective capacities that emerge in the course of self-organization. Its explicanda include energy efficiency; enabling progressively more complex cognitive operations such as long-term prediction and anticipatory planning. A cardinal example of the Bayesian brain approach is the free energy principle that explains self-organizing dynamics in the brain in terms of its predictive capabilities – and selective sampling of sensory inputs that optimise variational free energy as a proxy for Bayesian model evidence. An example of thermodynamically grounded proposals, in this issue, associates self-organization with phase transitions in neuronal state-spaces; resulting in the formation of bounded neuronal assemblies (neuronal packets). This special issue seeks a discourse between thermodynamic and informational formulations of the self-organising and self-evidencing brain. For example, could minimization of thermodynamic free energy during the formation of neuronal packets underlie minimization of variational free energy?
Book Synopsis From Linear Operators to Computational Biology by : Martin Davis
Download or read book From Linear Operators to Computational Biology written by Martin Davis and published by Springer Science & Business Media. This book was released on 2012-07-28 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his rich and varied career as a mathematician, computer scientist, and educator, Jacob T. Schwartz wrote seminal works in analysis, mathematical economics, programming languages, algorithmics, and computational geometry. In this volume of essays, his friends, students, and collaborators at the Courant Institute of Mathematical Sciences present recent results in some of the fields that Schwartz explored: quantum theory, the theory and practice of programming, program correctness and decision procedures, dextrous manipulation in Robotics, motion planning, and genomics. In addition to presenting recent results in these fields, these essays illuminate the astonishingly productive trajectory of a brilliant and original scientist and thinker.
Book Synopsis Algorithmic Foundations of Robotics XIII by : Marco Morales
Download or read book Algorithmic Foundations of Robotics XIII written by Marco Morales and published by Springer Nature. This book was released on 2020-05-07 with total page 959 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the outcomes of the thirteenth Workshop on the Algorithmic Foundations of Robotics (WAFR), the premier event for showcasing cutting-edge research on algorithmic robotics. The latest WAFR, held at Universidad Politécnica de Yucatán in Mérida, México on December 9–11, 2018, continued this tradition. This book contains fifty-four papers presented at WAFR, which highlight the latest research on fundamental algorithmic robotics (e.g., planning, learning, navigation, control, manipulation, optimality, completeness, and complexity) demonstrated through several applications involving multi-robot systems, perception, and contact manipulation. Addressing a diverse range of topics in papers prepared by expert contributors, the book reflects the state of the art and outlines future directions in the field of algorithmic robotics.
Book Synopsis Algorithmic Foundations of Robotics XI by : H. Levent Akin
Download or read book Algorithmic Foundations of Robotics XI written by H. Levent Akin and published by Springer. This book was released on 2015-04-30 with total page 751 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully edited volume is the outcome of the eleventh edition of the Workshop on Algorithmic Foundations of Robotics (WAFR), which is the premier venue showcasing cutting edge research in algorithmic robotics. The eleventh WAFR, which was held August 3-5, 2014 at Boğaziçi University in Istanbul, Turkey continued this tradition. This volume contains extended versions of the 42 papers presented at WAFR. These contributions highlight the cutting edge research in classical robotics problems (e.g. manipulation, motion, path, multi-robot and kinodynamic planning), geometric and topological computation in robotics as well novel applications such as informative path planning, active sensing and surgical planning. This book - rich by topics and authoritative contributors - is a unique reference on the current developments and new directions in the field of algorithmic foundations.
