Euclidean Shortest Paths

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Euclidean Shortest Paths

Author : Fajie Li
ISBN : 1447122569
Genre : Computers
File Size : 66.73 MB
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This unique text/reference reviews algorithms for the exact or approximate solution of shortest-path problems, with a specific focus on a class of algorithms called rubberband algorithms. Discussing each concept and algorithm in depth, the book includes mathematical proofs for many of the given statements. Topics and features: provides theoretical and programming exercises at the end of each chapter; presents a thorough introduction to shortest paths in Euclidean geometry, and the class of algorithms called rubberband algorithms; discusses algorithms for calculating exact or approximate ESPs in the plane; examines the shortest paths on 3D surfaces, in simple polyhedrons and in cube-curves; describes the application of rubberband algorithms for solving art gallery problems, including the safari, zookeeper, watchman, and touring polygons route problems; includes lists of symbols and abbreviations, in addition to other appendices.
Category: Computers

Visibility Algorithms In The Plane

Author : Subir Kumar Ghosh
ISBN : 9781139463256
Genre : Computers
File Size : 76.74 MB
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A human observer can effortlessly identify visible portions of geometric objects present in the environment. However, computations of visible portions of objects from a viewpoint involving thousands of objects is a time consuming task even for high speed computers. To solve such visibility problems, efficient algorithms have been designed. This book presents some of these visibility algorithms in two dimensions. Specifically, basic algorithms for point visibility, weak visibility, shortest paths, visibility graphs, link paths and visibility queries are all discussed. Several geometric properties are also established through lemmas and theorems. With over 300 figures and hundreds of exercises, this book is ideal for graduate students and researchers in the field of computational geometry. It will also be useful as a reference for researchers working in algorithms, robotics, computer graphics and geometric graph theory, and some algorithms from the book can be used in a first course in computational geometry.
Category: Computers

Algorithms And Theory Of Computation Handbook

Author : Mikhail J. Atallah
ISBN : 142004950X
Genre : Computers
File Size : 74.99 MB
Format : PDF
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Algorithms and Theory of Computation Handbook is a comprehensive collection of algorithms and data structures that also covers many theoretical issues. It offers a balanced perspective that reflects the needs of practitioners, including emphasis on applications within discussions on theoretical issues. Chapters include information on finite precision issues as well as discussion of specific algorithms where algorithmic techniques are of special importance, including graph drawing, robotics, forming a VLSI chip, vision and image processing, data compression, and cryptography. The book also presents some advanced topics in combinatorial optimization and parallel/distributed computing. • applications areas where algorithms and data structuring techniques are of special importance • graph drawing • robot algorithms • VLSI layout • vision and image processing algorithms • scheduling • electronic cash • data compression • dynamic graph algorithms • on-line algorithms • multidimensional data structures • cryptography • advanced topics in combinatorial optimization and parallel/distributed computing
Category: Computers

Deriving An Obstacle Avoiding Shortest Path In Continuous Space

Author : Insu Hong
ISBN : OCLC:914278619
Genre : Geographic information systems
File Size : 24.5 MB
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The shortest path between two locations is important for spatial analysis, location modeling, and wayfinding tasks. Depending on permissible movement and availability of data, the shortest path is either derived from a pre-defined transportation network or constructed in continuous space. However, continuous space movement adds substantial complexity to identifying the shortest path as the influence of obstacles has to be considered to avoid errors and biases in a derived path. This obstacle-avoiding shortest path in continuous space has been referred to as Euclidean shortest path (ESP), and attracted the attention of many researchers. It has been proven that constructing a graph is an effective approach to limit infinite search options associated with continuous space, reducing the problem to a finite set of potential paths. To date, various methods have been developed for ESP derivation. However, their computational efficiency is limited due to fundamental limitations in graph construction. In this research, a novel algorithm is developed for efficient identification of a graph guaranteed to contain the ESP. This new approach is referred to as the convexpath algorithm, and exploits spatial knowledge and GIS functionality to efficiently construct a graph. The convexpath algorithm utilizes the notion of a convex hull to simultaneously identify relevant obstacles and construct the graph. Additionally, a spatial filtering technique based on intermediate shortest path is enhances intelligent identification of relevant obstacles. Empirical applications show that the convexpath algorithm is able to construct a graph and derive the ESP with significantly improved efficiency compared to visibility and local visibility graph approaches. Furthermore, to boost the performance of convexpath in big data environments, a parallelization approach is proposed and applied to exploit computationally intensive spatial operations of convexpath. Multicore CPU parallelization demonstrates noticeable efficiency gain over the sequential convexpath. Finally, spatial representation and approximation issues associated with raster-based approximation of the ESP are assessed. This dissertation provides a comprehensive treatment of the ESP, and details an important approach for deriving an optimal ESP in real time.
Category: Geographic information systems

Unobstructed Shortest Paths In Polyhedral Environments

Author : Varol Akman
ISBN : 3540176292
Genre : Computers
File Size : 83.11 MB
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The first examination of the cervical spine is always made using standard radiographs and, often enough, this suffices as a basis for diagnosis. Malformations, tumours, and more frequently traumas, rheumatism, and even ordinary neck pain require radiological examination of the spine. Interpretation, however, is difficult. Take a cervical vertebra in your hand and you will see that it is complex enough itself. In radiology the overlapping pieces of bone, summation phenomena and the diversity of viewing angles complicate interpretation of the images still further. The book by J.-F. Bonneville and F. Cattin suggests an original method of reading the radiographs, strict but very attractive, which considerably simplifies the interpretation of images of the cervical spine. This book shows that two- or threedimensional computed tomograms accompany standard radiographs as an excellent aid to comprehension. It is as though the reader had access to each part of the bony anatomy shown in the radiographs and from then on everything becomes easy, superimpositions disappear, traps become visible, anatomy triumphs, the image lives.
Category: Computers

Geometric And Discrete Path Planning For Interactive Virtual Worlds

Author : Marcelo Kallmann
ISBN : 9781627057578
Genre : Computers
File Size : 64.58 MB
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Path planning and navigation are indispensable components for controlling autonomous agents in interactive virtual worlds. Given the growing demands on the size and complexity of modern virtual worlds, a number of new techniques have been developed for achieving intelligent navigation for the next generation of interactive multi-agent simulations. This book reviews the evolution of several related techniques, starting from classical planning and computational geometry techniques and then gradually moving toward more advanced topics with focus on recent developments from the work of the authors. The covered topics range from discrete search and geometric representations to planning under different types of constraints and harnessing the power of graphics hardware in order to address Euclidean shortest paths and discrete search for multiple agents under limited time budgets. The use of planning algorithms beyond path planning is also discussed in the areas of crowd animation and whole-body motion planning for virtual characters.
Category: Computers

Combinatorial Optimization And Applications

Author : Yingshu Li
ISBN : 9783030364120
Genre : Computers
File Size : 79.82 MB
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This volume constitutes the proceedings of the 13th International Conference on Combinatorial Optimization and Applications, COCOA 2019, held in Xiamen, China, in December 2019. The 49 full papers presented in this volume were carefully reviewed and selected from 108 submissions. The papers cover the various topics, including cognitive radio networks, wireless sensor networks, cyber-physical systems, distributed and localized algorithm design and analysis, information and coding theory for wireless networks, localization, mobile cloud computing, topology control and coverage, security and privacy, underwater and underground networks, vehicular networks, information processing and data management, programmable service interfaces, energy-efficient algorithms, system and protocol design, operating system and middleware support, and experimental test-beds, models and case studies.
Category: Computers

Advances In Computer Science And Its Applications

Author : Hwa Young Jeong
ISBN : 9783642416743
Genre : Mathematics
File Size : 42.76 MB
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These proceedings focus on various aspects of computer science and its applications, thus providing an opportunity for academic and industry professionals to discuss the latest issues and progress in this and related areas. The book includes theory and applications alike.
Category: Mathematics

Combinatorial Image Analysis

Author : Ralf Reulke
ISBN : 9783540351535
Genre : Computers
File Size : 53.20 MB
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This volume constitutes the refereed proceedings of the 11th International Workshop on Combinatorial Image Analysis, IWCIA 2006, held in Berlin, Germany, in June 2006.The 34 revised full papers presented together with two invited papers were carefully reviewed and selected from 59 submissions. The topics covered include combinatorial image analysis; grammars and models for analysis and recognition of scenes and images; combinatorial topology and geometry for images; digital geometry of curves and surfaces; algebraic approaches to image processing; image, point clouds or surface registration, as well as fuzzy and probabilistic image analysis.
Category: Computers

Algorithms Esa 2010

Author : Mark de Berg
ISBN : 9783642157745
Genre : Computers
File Size : 37.20 MB
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This volume contains the 69 papers presented at the 16th Annual European Symposium on Algorithms (ESA 2010), held in Liverpool during September 6 8, 2010, including three papers by the distinguished invited speakers Artur Czumaj, Herbert Edelsbrunner, and Paolo Ferragina. ESA 2010 was organized as a part of ALGO 2010, which also included the 10th Workshop on Algorithms in Bioinformatics (WABI), the 8th Workshop on Approximation and Online Algorithms (WAOA), and the 10th Workshop on Algorithmic Approaches for Transportation Modeling, Optimization, and Systems (ATMOS). The European Symposium on Algorithms covers research in the design, use, andanalysisofe?cientalgorithmsanddata structures.As inpreviousyears, the symposium had two tracks: the Design and Analysis Track and the Engineering and Applications Track, each with its own Program Committee. In total 245 papers adhering to the submission guidelines were submitted. Each paper was reviewed by three or four referees. Based on the reviews and the often extensive electronicdiscussionsfollowingthem, thecommittees selected 66papersintotal: 56 (out of 206) to the Design and Analysis Track and 10 (out of 39) to the Engineering andApplicationstrack.We believethat thesepaperstogethermade up a strong and varied program, showing the depth and breadth of current algorithms research."
Category: Computers

Algorithms And Data Structures

Author : Frank Dehne
ISBN : 9783642033674
Genre : Computers
File Size : 26.4 MB
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This book constitutes the refereed proceedings of the 11th Algorithms and Data Structures Symposium, WADS 2009, held in Banff, Canada, in August 2009. The Algorithms and Data Structures Symposium - WADS (formerly "Workshop on Algorithms and Data Structures") is intended as a forum for researchers in the area of design and analysis of algorithms and data structures. The 49 revised full papers presented in this volume were carefully reviewed and selected from 126 submissions. The papers present original research on algorithms and data structures in all areas, including bioinformatics, combinatorics, computational geometry, databases, graphics, and parallel and distributed computing.
Category: Computers

Fsttcs 2007 Foundations Of Software Technology And Theoretical Computer Science

Author : V. Arvind
ISBN : 9783540770497
Genre : Computers
File Size : 77.47 MB
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This book constitutes the refereed proceedings of the 27th International Conference on the Foundations of Software Technology and Theoretical Computer Science, FSTTCS 2007, held in New Delhi, India, in December 2007. The 40 revised full papers presented together with 5 invited papers were carefully reviewed and selected from 135 submissions. The papers provide original research results in fundamental aspects of computer science as well as reports from the frontline of software technology and theoretical computer science. A broad variety of current topics from the theory of computing are addressed, ranging from software science, programming theory, systems design and analysis, formal methods, mathematical logic, mathematical foundations, discrete mathematics, combinatorial mathematics, complexity theory, and automata theory to theoretical computer science in general.
Category: Computers

Computational Geometry

Author : Mark de Berg
ISBN : 9783540779735
Genre : Computers
File Size : 47.85 MB
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This introduction to computational geometry focuses on algorithms. Motivation is provided from the application areas as all techniques are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement.
Category: Computers

Combinatorics Introduction

Author : Source Wikipedia
ISBN : 1230501398
Genre :
File Size : 89.28 MB
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 38. Chapters: Disperser, Erd s-Faber-Lovasz conjecture, Inversion, Euclidean shortest path, Combinatorics on words, Hoffman-Singleton graph, Hot game, Graph product, Enumerative combinatorics, De Bruijn-Erd s theorem, Fibonomial coefficient, Algebraic combinatorics, Flower snark, Menger's theorem, Kirkman's schoolgirl problem, Tutte theorem, Continuous graph, Wythoff's game, Spherical design, Langford pairing, Graph enumeration, Weak coloring, Bimagic square, Bondy's theorem, Transportation network, Convex bipartite graph, K-vertex-connected graph, Degree-constrained spanning tree, Graph toughness, Rule of product, Schnyder's theorem, Steinhaus-Johnson-Trotter algorithm, AF-heap, Symmetric design, Family of sets, Wilf-Zeilberger pair, Matching preclusion, T-theory, K-edge-connected graph, Dinitz conjecture, Electronic Journal of Combinatorics, Tutte-Berge formula, Regular Hadamard matrix, Loopless algorithm, Modular product of graphs, Circuit rank, Disjunction property of Wallman, DIMACS, Fraysseix-Rosenstiehl's planarity criterion, Gosset graph, Defective coloring, Quasi-polynomial, Induced subgraph isomorphism problem, Forbidden subgraph problem, Q-Vandermonde identity, Squarefree word, Hamming graph, Double-star snark, Transversal, Milliken-Taylor theorem, Combinatorial explosion, Szekeres snark, Random minimal spanning tree, Watkins snark, Tutte matrix, Transpose graph, Weighing matrix, Path coloring, Edge-matching puzzle, Map folding, Higher spin alternating sign matrix, Adjacency algebra, Edmonds matrix, Grinberg's theorem, Combinatorial hierarchy, Fuzzy transportation, Cameron-Erd s conjecture, Levi's lemma, Geometric combinatorics, 1-sequence, Extremal combinatorics, Analytic combinatorics, Pandiagonal magic cube, Higman's lemma, Local McLaughlin graph, Kalmanson combinatorial conditions, ...

Stacs 2007

Author : Wolfgang Thomas
ISBN : 9783540709176
Genre : Computers
File Size : 21.18 MB
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This book constitutes the refereed proceedings of the 24th Annual Symposium on Theoretical Aspects of Computer Science, STACS 2007, held in Aachen, Germany in February 2007. The 56 revised full papers presented together with 3 invited papers were carefully reviewed and selected from about 400 submissions. The papers address the whole range of theoretical computer science including algorithms and data structures, automata and formal languages, complexity theory, logic in computer science, semantics, specification, and verification of programs, rewriting and deduction, as well as current challenges like biological computing, quantum computing, and mobile and net computing.
Category: Computers

Mathematical Foundations Of Computer Science 2013

Author : Krishnendu Chatterjee
ISBN : 9783642403132
Genre : Computers
File Size : 82.78 MB
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This book constitutes the thoroughly refereed conference proceedings of the 38th International Symposium on Mathematical Foundations of Computer Science, MFCS 2013, held in Klosterneuburg, Austria, in August 2013. The 67 revised full papers presented together with six invited talks were carefully selected from 191 submissions. Topics covered include algorithmic game theory, algorithmic learning theory, algorithms and data structures, automata, formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, databases and knowledge-based systems, foundations of computing, logic in computer science, models of computation, semantics and verification of programs, and theoretical issues in artificial intelligence.
Category: Computers

The Shortest Path Problem

Author : Camil Demetrescu
ISBN : 9780821885864
Genre : Mathematics
File Size : 89.51 MB
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Category: Mathematics

Geometric Spanner Networks

Author : Giri Narasimhan
ISBN : 9781139461573
Genre : Computers
File Size : 72.93 MB
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Aimed at an audience of researchers and graduate students in computational geometry and algorithm design, this book uses the Geometric Spanner Network Problem to showcase a number of useful algorithmic techniques, data structure strategies, and geometric analysis techniques with many applications, practical and theoretical. The authors present rigorous descriptions of the main algorithms and their analyses for different variations of the Geometric Spanner Network Problem. Though the basic ideas behind most of these algorithms are intuitive, very few are easy to describe and analyze. For most of the algorithms, nontrivial data structures need to be designed, and nontrivial techniques need to be developed in order for analysis to take place. Still, there are several basic principles and results that are used throughout the book. One of the most important is the powerful well-separated pair decomposition. This decomposition is used as a starting point for several of the spanner constructions.
Category: Computers

Foundations Of Software Technology And Theoretical Computer Science

Author : P.S. Thiagarajan
ISBN : 3540587152
Genre : Computers
File Size : 41.13 MB
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This volume presents the proceedings of the 14th International Conference on the Foundations of Software Technology and Theoretical Computer Science, FST&TCS-14, held in Madras, India in December 1994. Besides the five invited papers by well-known researchers, it includes 31 full refereed research papers selected out of a total of 140 submissions. The papers contribute to the whole area of theoretical computer science with an emphasis on algorithms and complexity. Other topics covered are program semantics, program verification, formal logic, computational geometry, concurrency, unification, and discrete mathematics.
Category: Computers