Digital Geometry Algorithms

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Digital Geometry Algorithms

Valentin E. Brimkov,Reneta P. Barneva
Digital Geometry Algorithms Book PDF

Author : Valentin E. Brimkov,Reneta P. Barneva
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 48,7 Mb
Release : 2012-05-20
Category : Technology & Engineering
ISBN : 9789400741744

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Digital Geometry Algorithms by Valentin E. Brimkov,Reneta P. Barneva Pdf

Digital geometry emerged as an independent discipline in the second half of the last century. It deals with geometric properties of digital objects and is developed with the unambiguous goal to provide rigorous theoretical foundations for devising new advanced approaches and algorithms for various problems of visual computing. Different aspects of digital geometry have been addressed in the literature. This book is the first one that explicitly focuses on the presentation of the most important digital geometry algorithms. Each chapter provides a brief survey on a major research area related to the general volume theme, description and analysis of related fundamental algorithms, as well as new original contributions by the authors. Every chapter contains a section in which interesting open problems are addressed.

Digital Geometry

Reinhard Klette,Azriel Rosenfeld
Digital Geometry Book PDF

Author : Reinhard Klette,Azriel Rosenfeld
Publisher : Elsevier
Page : 672 pages
File Size : 46,9 Mb
Release : 2004-09-04
Category : Computers
ISBN : 9780080477268

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Digital Geometry by Reinhard Klette,Azriel Rosenfeld Pdf

Digital geometry is about deriving geometric information from digital pictures. The field emerged from its mathematical roots some forty-years ago through work in computer-based imaging, and it is used today in many fields, such as digital image processing and analysis (with applications in medical imaging, pattern recognition, and robotics) and of course computer graphics. Digital Geometry is the first book to detail the concepts, algorithms, and practices of the discipline. This comphrehensive text and reference provides an introduction to the mathematical foundations of digital geometry, some of which date back to ancient times, and also discusses the key processes involved, such as geometric algorithms as well as operations on pictures. *A comprehensive text and reference written by pioneers in digital geometry, image processing and analysis, and computer vision *Provides a collection of state-of-the-art algorithms for a wide variety of geometrical picture analysis tasks, including extracting data from digital images and making geometric measurements on the data *Includes exercises, examples, and references to related or more advanced work

Digital and Discrete Geometry

Li M. Chen
Digital and Discrete Geometry Book PDF

Author : Li M. Chen
Publisher : Springer
Page : 322 pages
File Size : 49,9 Mb
Release : 2014-12-12
Category : Computers
ISBN : 9783319120997

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Digital and Discrete Geometry by Li M. Chen Pdf

This book provides comprehensive coverage of the modern methods for geometric problems in the computing sciences. It also covers concurrent topics in data sciences including geometric processing, manifold learning, Google search, cloud data, and R-tree for wireless networks and BigData. The author investigates digital geometry and its related constructive methods in discrete geometry, offering detailed methods and algorithms. The book is divided into five sections: basic geometry; digital curves, surfaces and manifolds; discretely represented objects; geometric computation and processing; and advanced topics. Chapters especially focus on the applications of these methods to other types of geometry, algebraic topology, image processing, computer vision and computer graphics. Digital and Discrete Geometry: Theory and Algorithms targets researchers and professionals working in digital image processing analysis, medical imaging (such as CT and MRI) and informatics, computer graphics, computer vision, biometrics, and information theory. Advanced-level students in electrical engineering, mathematics, and computer science will also find this book useful as a secondary text book or reference. Praise for this book: This book does present a large collection of important concepts, of mathematical, geometrical, or algorithmical nature, that are frequently used in computer graphics and image processing. These concepts range from graphs through manifolds to homology. Of particular value are the sections dealing with discrete versions of classic continuous notions. The reader finds compact definitions and concise explanations that often appeal to intuition, avoiding finer, but then necessarily more complicated, arguments... As a first introduction, or as a reference for professionals working in computer graphics or image processing, this book should be of considerable value." - Prof. Dr. Rolf Klein, University of Bonn.

Digital Geometry

Reinhard Klette,Azriel Rosenfeld
Digital Geometry Book PDF

Author : Reinhard Klette,Azriel Rosenfeld
Publisher : Morgan Kaufmann
Page : 676 pages
File Size : 50,5 Mb
Release : 2004-08-06
Category : Computers
ISBN : 9781558608610

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Digital Geometry by Reinhard Klette,Azriel Rosenfeld Pdf

The first book on digital geometry by the leaders in the field.

Computational Geometry

Mark de Berg,Marc van Krefeld,Mark Overmars,Otfried Cheong
Computational Geometry Book PDF

Author : Mark de Berg,Marc van Krefeld,Mark Overmars,Otfried Cheong
Publisher : Springer Science & Business Media
Page : 370 pages
File Size : 47,5 Mb
Release : 2013-04-17
Category : Computers
ISBN : 9783662042458

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Computational Geometry by Mark de Berg,Marc van Krefeld,Mark Overmars,Otfried Cheong Pdf

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.

Computational Geometry

Franco P. Preparata,Michael I. Shamos
Computational Geometry Book PDF

Author : Franco P. Preparata,Michael I. Shamos
Publisher : Springer Science & Business Media
Page : 413 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461210986

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Computational Geometry by Franco P. Preparata,Michael I. Shamos Pdf

From the reviews: "This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry. ... ... The book is well organized and lucidly written; a timely contribution by two founders of the field. It clearly demonstrates that computational geometry in the plane is now a fairly well-understood branch of computer science and mathematics. It also points the way to the solution of the more challenging problems in dimensions higher than two." #Mathematical Reviews#1 "... This remarkable book is a comprehensive and systematic study on research results obtained especially in the last ten years. The very clear presentation concentrates on basic ideas, fundamental combinatorial structures, and crucial algorithmic techniques. The plenty of results is clever organized following these guidelines and within the framework of some detailed case studies. A large number of figures and examples also aid the understanding of the material. Therefore, it can be highly recommended as an early graduate text but it should prove also to be essential to researchers and professionals in applied fields of computer-aided design, computer graphics, and robotics." #Biometrical Journal#2

Computational Geometry

Mark de Berg,Marc van Kreveld,Mark Overmars,Otfried Schwarzkopf
Computational Geometry Book PDF

Author : Mark de Berg,Marc van Kreveld,Mark Overmars,Otfried Schwarzkopf
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 41,9 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9783662034279

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Computational Geometry by Mark de Berg,Marc van Kreveld,Mark Overmars,Otfried Schwarzkopf Pdf

Computational geometry emerged from the field of algorithms design and anal ysis in the late 1970s. It has grown into a recognized discipline with its own journals, conferences, and a large community of active researchers. The suc cess of the field as a research discipline can on the one hand be explained from the beauty of the problems studied and the solutions obtained, and, on the other hand, by the many application domains--computer graphics, geographic in formation systems (GIS), robotics, and others-in which geometric algorithms play a fundamental role. For many geometric problems the early algorithmic solutions were either slow or difficult to understand and implement. In recent years a number of new algorithmic techniques have been developed that improved and simplified many of the previous approaches. In this textbook we have tried to make these modem algorithmic solutions accessible to a large audience. The book has been written as a textbook for a course in computational geometry, but it can also be used for self-study.

Polygon Mesh Processing

Mario Botsch,Leif Kobbelt,Mark Pauly,Pierre Alliez,Bruno Levy
Polygon Mesh Processing Book PDF

Author : Mario Botsch,Leif Kobbelt,Mark Pauly,Pierre Alliez,Bruno Levy
Publisher : CRC Press
Page : 244 pages
File Size : 48,9 Mb
Release : 2010-10-07
Category : Computers
ISBN : 9781568814261

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Polygon Mesh Processing by Mario Botsch,Leif Kobbelt,Mark Pauly,Pierre Alliez,Bruno Levy Pdf

Geometry processing, or mesh processing, is a fast-growing area of research that uses concepts from applied mathematics, computer science, and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulation, and transmission of complex 3D models. Applications of geometry processing algorithms already cover a wide range of areas from multimedia, entertainment, and classical computer-aided design, to biomedical computing, reverse engineering, and scientific computing. Over the last several years, triangle meshes have become increasingly popular, as irregular triangle meshes have developed into a valuable alternative to traditional spline surfaces. This book discusses the whole geometry processing pipeline based on triangle meshes. The pipeline starts with data input, for example, a model acquired by 3D scanning techniques. This data can then go through processes of error removal, mesh creation, smoothing, conversion, morphing, and more. The authors detail techniques for those processes using triangle meshes. A supplemental website contains downloads and additional information.

Geometric Folding Algorithms

Erik D. Demaine,Joseph O'Rourke
Geometric Folding Algorithms Book PDF

Author : Erik D. Demaine,Joseph O'Rourke
Publisher : Cambridge University Press
Page : 128 pages
File Size : 42,8 Mb
Release : 2007-07-16
Category : Computers
ISBN : 9781107394094

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Geometric Folding Algorithms by Erik D. Demaine,Joseph O'Rourke Pdf

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.

Computational Geometry in C

Joseph O'Rourke
Computational Geometry in C Book PDF

Author : Joseph O'Rourke
Publisher : Cambridge University Press
Page : 128 pages
File Size : 47,8 Mb
Release : 1998-10-13
Category : Computers
ISBN : 9781107268630

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Computational Geometry in C by Joseph O'Rourke Pdf

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.

Handbook of Computational Geometry

J.R. Sack,J. Urrutia
Handbook of Computational Geometry Book PDF

Author : J.R. Sack,J. Urrutia
Publisher : Elsevier
Page : 1075 pages
File Size : 41,8 Mb
Release : 1999-12-13
Category : Mathematics
ISBN : 0080529682

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Handbook of Computational Geometry by J.R. Sack,J. Urrutia Pdf

Computational Geometry is an area that provides solutions to geometric problems which arise in applications including Geographic Information Systems, Robotics and Computer Graphics. This Handbook provides an overview of key concepts and results in Computational Geometry. It may serve as a reference and study guide to the field. Not only the most advanced methods or solutions are described, but also many alternate ways of looking at problems and how to solve them.

Geometric Data Structures for Computer Graphics

Elmar Langetepe,Gabriel Zachmann
Geometric Data Structures for Computer Graphics Book PDF

Author : Elmar Langetepe,Gabriel Zachmann
Publisher : A K Peters/CRC Press
Page : 344 pages
File Size : 47,8 Mb
Release : 2006
Category : Computers
ISBN : UOM:39015063259033

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Geometric Data Structures for Computer Graphics by Elmar Langetepe,Gabriel Zachmann Pdf

This book focuses on algorithms and geometric data structures that have proven to be versatile, efficient and fundamental. It endows practitioners in the computer graphics field with a working knowledge of a wide range of geometric data structures from computational geometry.

Computational Geometry and Computer Graphics in C++

Michael Jay Laszlo
Computational Geometry and Computer Graphics in C Book PDF

Author : Michael Jay Laszlo
Publisher : Unknown
Page : 296 pages
File Size : 41,6 Mb
Release : 1996
Category : C (Computer program language)
ISBN : UCSC:32106012138217

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Computational Geometry and Computer Graphics in C++ by Michael Jay Laszlo Pdf

This book provides an accessible introduction to methods in computational geometry and computer graphics. It emphasizes the efficient object-oriented implemenation of geometric methods with useable C++ code for all methods discussed.

Essential Mathematics for Games and Interactive Applications

James M. Van Verth,Lars M. Bishop
Essential Mathematics for Games and Interactive Applications Book PDF

Author : James M. Van Verth,Lars M. Bishop
Publisher : CRC Press
Page : 706 pages
File Size : 51,5 Mb
Release : 2008-05-19
Category : Art
ISBN : 9780123742971

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Essential Mathematics for Games and Interactive Applications by James M. Van Verth,Lars M. Bishop Pdf

Essential Mathematics for Games and Interactive Applications, 2nd edition presents the core mathematics necessary for sophisticated 3D graphics and interactive physical simulations. The book begins with linear algebra and matrix multiplication and expands on this foundation to cover such topics as color and lighting, interpolation, animation and basic game physics. Essential Mathematics focuses on the issues of 3D game development important to programmers and includes optimization guidance throughout. The new edition Windows code will now use Visual Studio.NET. There will also be DirectX support provided, along with OpenGL - due to its cross-platform nature. Programmers will find more concrete examples included in this edition, as well as additional information on tuning, optimization and robustness. The book has a companion CD-ROM with exercises and a test bank for the academic secondary market, and for main market: code examples built around a shared code base, including a math library covering all the topics presented in the book, a core vector/matrix math engine, and libraries to support basic 3D rendering and interaction.

Geometric Tools for Computer Graphics

Philip Schneider,David H. Eberly
Geometric Tools for Computer Graphics Book PDF

Author : Philip Schneider,David H. Eberly
Publisher : Elsevier
Page : 1056 pages
File Size : 53,9 Mb
Release : 2002-10-10
Category : Computers
ISBN : 0080478026

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Geometric Tools for Computer Graphics by Philip Schneider,David H. Eberly Pdf

Do you spend too much time creating the building blocks of your graphics applications or finding and correcting errors? Geometric Tools for Computer Graphics is an extensive, conveniently organized collection of proven solutions to fundamental problems that you'd rather not solve over and over again, including building primitives, distance calculation, approximation, containment, decomposition, intersection determination, separation, and more. If you have a mathematics degree, this book will save you time and trouble. If you don't, it will help you achieve things you may feel are out of your reach. Inside, each problem is clearly stated and diagrammed, and the fully detailed solutions are presented in easy-to-understand pseudocode. You also get the mathematics and geometry background needed to make optimal use of the solutions, as well as an abundance of reference material contained in a series of appendices. Features Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors. Covers problems relevant for both 2D and 3D graphics programming. Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you. Provides the math and geometry background you need to understand the solutions and put them to work. Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode. Resources associated with the book are available at the companion Web site www.mkp.com/gtcg. * Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors. * Covers problems relevant for both 2D and 3D graphics programming. * Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you. * Provides the math and geometry background you need to understand the solutions and put them to work. * Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode. * Resources associated with the book are available at the companion Web site www.mkp.com/gtcg.