Discrete and Computational Geometry

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Publisher : Princeton University Press
ISBN 13 : 1400838983
Total Pages : 270 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Discrete and Computational Geometry by : Satyan L. Devadoss

Download or read book Discrete and Computational Geometry written by Satyan L. Devadoss and published by Princeton University Press. This book was released on 2011-04-11 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential introduction to discrete and computational geometry Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science. This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincaré conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems. The essential introduction to discrete and computational geometry Covers traditional topics as well as new and advanced material Features numerous full-color illustrations, exercises, and unsolved problems Suitable for sophomores in mathematics, computer science, engineering, or physics Rigorous but accessible An online solutions manual is available (for teachers only)

Developments in Multidimensional Spatial Data Models

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Publisher : Springer Science & Business Media
ISBN 13 : 3642363792
Total Pages : 249 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Developments in Multidimensional Spatial Data Models by : Alias Abdul Rahman

Download or read book Developments in Multidimensional Spatial Data Models written by Alias Abdul Rahman and published by Springer Science & Business Media. This book was released on 2013-04-13 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest research developments in geoinformation science, which includes all the sub-disciplines of the subject, such as: geomatic engineering, GIS, remote sensing, digital photogrammetry, digital cartography, etc.

Wireless Sensor and Actuator Networks

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Publisher : John Wiley & Sons
ISBN 13 : 9780470570500
Total Pages : 316 pages
Book Rating : 4.5/5 (75 download)

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Book Synopsis Wireless Sensor and Actuator Networks by : Amiya Nayak

Download or read book Wireless Sensor and Actuator Networks written by Amiya Nayak and published by John Wiley & Sons. This book was released on 2010-02-12 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely book offers a mixture of theory, experiments, and simulations that provides qualitative and quantitative insights in the field of sensor and actuator networking. The chapters are selected in a way that makes the book comprehensive and self-contained. It covers a wide range of recognized problems in sensor networks, striking a balance between theoretical and practical coverage. The book is appropriate for graduate students and practitioners working as engineers, programmers, and technologists.

Origametry

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Publisher : Cambridge University Press
ISBN 13 : 1108478727
Total Pages : 343 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Origametry by : Thomas C. Hull

Download or read book Origametry written by Thomas C. Hull and published by Cambridge University Press. This book was released on 2020-10-08 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a world expert on the subject, Origametry is the first complete reference on the mathematics of origami. It is an essential reference for researchers of origami mathematics and applications in physics, engineering, and design. Educators, students, and enthusiasts will also enjoy this fascinating account of the mathematics of folding.

Geometric Folding Algorithms

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Publisher : Cambridge University Press
ISBN 13 : 1107394090
Total Pages : 388 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Geometric Folding Algorithms by : Erik D. Demaine

Download or read book Geometric Folding Algorithms written by Erik D. Demaine and published by Cambridge University Press. This book was released on 2007-07-16 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.

Algorithms and Data Structures for External Memory

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Publisher : Now Publishers Inc
ISBN 13 : 1601981066
Total Pages : 192 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Algorithms and Data Structures for External Memory by : Jeffrey Scott Vitter

Download or read book Algorithms and Data Structures for External Memory written by Jeffrey Scott Vitter and published by Now Publishers Inc. This book was released on 2008 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes several useful paradigms for the design and implementation of efficient external memory (EM) algorithms and data structures. The problem domains considered include sorting, permuting, FFT, scientific computing, computational geometry, graphs, databases, geographic information systems, and text and string processing.

Computational Geometry in C

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Publisher : Cambridge University Press
ISBN 13 : 110726863X
Total Pages : 396 pages
Book Rating : 4.1/5 (72 download)

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Book Synopsis Computational Geometry in C by : Joseph O'Rourke

Download or read book Computational Geometry in C written by Joseph O'Rourke and published by Cambridge University Press. This book was released on 1998-10-13 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the revised and expanded 1998 edition of a popular introduction to the design and implementation of geometry algorithms arising in areas such as computer graphics, robotics, and engineering design. The basic techniques used in computational geometry are all covered: polygon triangulations, convex hulls, Voronoi diagrams, arrangements, geometric searching, and motion planning. The self-contained treatment presumes only an elementary knowledge of mathematics, but reaches topics on the frontier of current research, making it a useful reference for practitioners at all levels. The second edition contains material on several new topics, such as randomized algorithms for polygon triangulation, planar point location, 3D convex hull construction, intersection algorithms for ray-segment and ray-triangle, and point-in-polyhedron. The code in this edition is significantly improved from the first edition (more efficient and more robust), and four new routines are included. Java versions for this new edition are also available. All code is accessible from the book's Web site (http://cs.smith.edu/~orourke/) or by anonymous ftp.

Combinatorial and Computational Geometry

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Publisher : Cambridge University Press
ISBN 13 : 9780521848626
Total Pages : 640 pages
Book Rating : 4.8/5 (486 download)

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Book Synopsis Combinatorial and Computational Geometry by : Jacob E. Goodman

Download or read book Combinatorial and Computational Geometry written by Jacob E. Goodman and published by Cambridge University Press. This book was released on 2005-08-08 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2005 book deals with interest topics in Discrete and Algorithmic aspects of Geometry.

On a Coloring Problem

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Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis On a Coloring Problem by : E. Asplund

Download or read book On a Coloring Problem written by E. Asplund and published by . This book was released on 1960 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Concrete and Abstract Voronoi Diagrams

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540520559
Total Pages : 182 pages
Book Rating : 4.5/5 (25 download)

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Book Synopsis Concrete and Abstract Voronoi Diagrams by : Rolf Klein

Download or read book Concrete and Abstract Voronoi Diagrams written by Rolf Klein and published by Springer Science & Business Media. This book was released on 1989-12-20 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Voronoi diagram of a set of sites is a partition of the plane into regions, one to each site, such that the region of each site contains all points of the plane that are closer to this site than to the other ones. Such partitions are of great importance to computer science and many other fields. The challenge is to compute Voronoi diagrams quickly. The problem is that their structure depends on the notion of distance and the sort of site. In this book the author proposes a unifying approach by introducing abstract Voronoi diagrams. These are based on the concept of bisecting curves, which are required to have some simple properties that are actually possessed by most bisectors of concrete Voronoi diagrams. Abstract Voronoi diagrams can be computed efficiently and there exists a worst-case efficient algorithm of divide-and-conquer type that applies to all abstract Voronoi diagrams satisfying a certain constraint. The author shows that this constraint is fulfilled by the concrete diagrams based on large classes of metrics in the plane.

Open Data Structures

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Publisher : Athabasca University Press
ISBN 13 : 1927356385
Total Pages : 336 pages
Book Rating : 4.9/5 (273 download)

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Book Synopsis Open Data Structures by : Pat Morin

Download or read book Open Data Structures written by Pat Morin and published by Athabasca University Press. This book was released on 2013 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction -- Array-based lists -- Linked lists -- Skiplists -- Hash tables -- Binary trees -- Random binary search trees -- Scapegoat trees -- Red-black trees -- Heaps -- Sorting algorithms -- Graphs -- Data structures for integers -- External memory searching.

Approximation and Optimization

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Publisher : Springer
ISBN 13 : 3030127672
Total Pages : 244 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Approximation and Optimization by : Ioannis C. Demetriou

Download or read book Approximation and Optimization written by Ioannis C. Demetriou and published by Springer. This book was released on 2019-05-10 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the development of approximation-related algorithms and their relevant applications. Individual contributions are written by leading experts and reflect emerging directions and connections in data approximation and optimization. Chapters discuss state of the art topics with highly relevant applications throughout science, engineering, technology and social sciences. Academics, researchers, data science practitioners, business analysts, social sciences investigators and graduate students will find the number of illustrations, applications, and examples provided useful. This volume is based on the conference Approximation and Optimization: Algorithms, Complexity, and Applications, which was held in the National and Kapodistrian University of Athens, Greece, June 29–30, 2017. The mix of survey and research content includes topics in approximations to discrete noisy data; binary sequences; design of networks and energy systems; fuzzy control; large scale optimization; noisy data; data-dependent approximation; networked control systems; machine learning ; optimal design; no free lunch theorem; non-linearly constrained optimization; spectroscopy.

Thirty Essays on Geometric Graph Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461401100
Total Pages : 610 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Thirty Essays on Geometric Graph Theory by : János Pach

Download or read book Thirty Essays on Geometric Graph Theory written by János Pach and published by Springer Science & Business Media. This book was released on 2012-12-15 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface. The traditional methods of "abstract" graph theory are often incapable of providing satisfactory answers to questions arising in such applications. In the past couple of decades, many powerful new combinatorial and topological techniques have been developed to tackle these problems. Today geometric graph theory is a burgeoning field with many striking results and appealing open questions. This contributed volume contains thirty original survey and research papers on important recent developments in geometric graph theory. The contributions were thoroughly reviewed and written by excellent researchers in this field.

Encyclopedia of Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 0387307702
Total Pages : 1200 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Encyclopedia of Algorithms by : Ming-Yang Kao

Download or read book Encyclopedia of Algorithms written by Ming-Yang Kao and published by Springer Science & Business Media. This book was released on 2008-08-06 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of Springer’s renowned Major Reference Works, this awesome achievement provides a comprehensive set of solutions to important algorithmic problems for students and researchers interested in quickly locating useful information. This first edition of the reference focuses on high-impact solutions from the most recent decade, while later editions will widen the scope of the work. All entries have been written by experts, while links to Internet sites that outline their research work are provided. The entries have all been peer-reviewed. This defining reference is published both in print and on line.

Towards a Theory of Geometric Graphs

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Publisher : American Mathematical Soc.
ISBN 13 : 0821834843
Total Pages : 300 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Towards a Theory of Geometric Graphs by : János Pach

Download or read book Towards a Theory of Geometric Graphs written by János Pach and published by American Mathematical Soc.. This book was released on 2004 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers on graph theory, with the common theme that all the graph theoretical problems addressed are approached from a geometrical, rather than an abstract point of view. This is no accident; the editor selected these papers not as a comprehensive literature revie

Efficient Algorithms for MPEG Video Compression

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Efficient Algorithms for MPEG Video Compression by : Dzung Tien Hoang

Download or read book Efficient Algorithms for MPEG Video Compression written by Dzung Tien Hoang and published by Wiley-Interscience. This book was released on 2002-02-21 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Video compression is the enabling technology behind many cutting-edge business and Internet applications, including video-conferencing, video-on-demand, and digital cable TV. Coauthored by internationally recognized authorities on the subject, this book takes a close look at the essential tools of video compression, exploring some of the most promising algorithms for converting raw data to a compressed form.

Numerical Simulation of Reactive Flow

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Publisher : Cambridge University Press
ISBN 13 : 0521581753
Total Pages : 553 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Numerical Simulation of Reactive Flow by : Elaine S. Oran

Download or read book Numerical Simulation of Reactive Flow written by Elaine S. Oran and published by Cambridge University Press. This book was released on 2001 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reactive flows encompass a broad range of physical phenomena, interacting over many different time and space scales. Such flows occur in combustion, chemical lasers, the earth's oceans and atmosphere, and stars and interstellar space. Despite the obvious physical differences in these flows, there is a striking similarity in the forms of their descriptive equations. Thus, the considerations and procedures for constructing numerical models of these systems are also similar, and these similarities can be exploited. Moreover, using the latest technology, what were once difficult and expensive computations can now be done on desktop computers. This book takes account of the explosive growth in computer technology and the greatly increased capacity for solving complex reactive flow problems that have occurred since the first edition of Numerical Simulation of Reactive Flow was published in 1987. It presents algorithms useful for reactive flow simulations, describes trade-offs involved in their use, and gives guidance for building and using models of complex reactive flows.