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Digital Geometry : Geometric Methods for Digital Picture Analysis - Reinhard Klette

Digital Geometry

Geometric Methods for Digital Picture Analysis

Hardcover Published: 20th August 2004
ISBN: 9781558608610
Number Of Pages: 672

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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

"[This is] a serious work. The authors have made a huge effort to present the major problems of digital geometry...It will be a very useful resource for a diversity of readers from engineers to mathematicians and from undergraduate students to scientists at the highest level."-Dr. Jovisa Zunic, Cardiff University "This book would be a great asset for professionals in the field of picture analysis, and would be ideal as a textbook in graduate courses on that subject. One must note that the book uses a standard mathematical/technical language, instead of image processing jargon, and thus is very appropriate for those engineers and scientists in other specialties who need to learn about, and work with, computer pictures." - Computing Reviews

Introduction
Grids and Digitization
Metrics
Adjacency Graphs
Incidence Pseudographs
Topology: Basics
Curves and Surfaces: Topology
Curves and Surfaces: Geometry
Straightness
Arc Length and Curvature
3D Straightness and Planarity
Surface and Area Curvature
Hulls and Diagrams
Transformations
Morphological Operations
Deformations
Other Properties and Relations
Bibliography
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9781558608610
ISBN-10: 1558608613
Series: The Morgan Kaufmann Series in Computer Graphics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 672
Published: 20th August 2004
Publisher: Elsevier Science & Technology
Country of Publication: US
Dimensions (cm): 23.5 x 19.1  x 4.29
Weight (kg): 1.56