Digital Geometry: Geometric Methods for Digital Picture Analysis (The Morgan Kaufmann Series in Computer Graphics) 1st Edition by Reinhard Klette (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “[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 — Review Review The first book on digital geometry by the leaders in the field Book Description The first book on digital geometry by the leaders in the field From the Back Cover 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. About the Author Reinhard Klette is Professor of Information Technology in the department of computer science at the University of Auckland, New Zealand, and director of the Center for Image Technology and Robotics (CITR), Tamaki. His research interests are directed toward theoretical and applied subjects in image data computing, robot vision, visualization, pattern recognition, image analysis, and image understanding. He has published more than 200 journal and conference papers on many topics in computer science, as well as books about parallel processing, image processing, and shape recovery based on visual information. He has been a plenary speaker at several major international conferences in Europe, North America, and Australasia.The late Azriel Rosenfeld was a tenured research professor, a distinguished university professor, and the Founding Director of the Center for Automation Research at the University of Maryland in College Park, where he also held affiliate professorships in the departments of computer science, electrical engineering, and psychology. Dr. Rosenfeld was widely regarded as the leading researcher in the world in the field of computer image analysis. Over a period of nearly 40 years, he made fundamental and pioneering contributions to nearly every area of that field. He wrote the first textbook in the field, was founding editor of its first journal, and was co-chairman of its first international conference. He published over 30 books and over 600 book chapters and journal articles, and directed nearly 60 Ph.D. dissertations. Dr. Rosenfeld’s research on digital image analysis—specifically on digital geometry and topology and the accurate measurement of statistical features of digital images in the 1960s and 1970s—formed the foundation for a generation of industrial vision inspection systems that have found widespread applications from the automotive to the electronics industry. He was a Fellow of the IEEE and the Washington Academy of Sciences; a Founding Fellow of the AAAI, the ACM, and the IAPR. Among his numerous awards and honors are the IEEE’s Emanuel Piore Award, its Third Millennium Medal, and its Distinguished Service Award for Lifetime Achievement in Computer Vision and Pattern Recognition. Excerpt. © Reprinted by permission. All rights reserved. The first book on digital geometry by the leaders in the field Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a good book with some challenging exercises. I haven’t gotten through too much, yet, but the exposition makes everything seem obvious, without a lot of obfuscation.

⭐This and Binary Digital Image Processing are essentially the only books devoted to this subject. Until I read it, I was more or less flailing about using trial and error to apply geometric operations to images. Klette’s and Rosenfeld’s book is more comprehensive and a much easier read as far as I am concerned.. Also, this book does not waste much space on non-standard geometries of triangular or hexagonal grids as is the case in the former.This is a difficult subject for self-learning because of the needed ancillary topics, but the authors make it clear enough that one can readily do so. It also is a great reference. I used it for determining how to calculate the local curvature of a contour, for example.I think anyone working in the field of computer vision should read this or better yet take a course in it.

⭐It is an excellent book for computer science, mathematics, andengineering researchers. The book can also be used as a very goodtextbook for graduate courses and certain sections would be good forsome senior undergraduate courses (for example, the first part of thebook). Focusing on the needs of real world applications, the authorstry to build a solid mathematical foundation for image processing andcomputer vision. The relationship between digital geometry andcomputational geometry is also well described by the many practicalalgorithms from computational geometry that are embedded in digitalgeometry. Some computer graphics methods are also covered. Chapters1-8 cover basic digital geometry; Chapters 9-16 cover special topics.Chapter 17 deals with the statistical and geometrical properties ofdigital pictures and may be treated as an Appendix. All of theseaspects make this book a comprehensive and self-contained.

⭐This is the first comprehensive overview of the research in Digital Geometry. It documents over fifty years of a very active research field. Digital Geometry has resulted and accompanied the research in Computer Vision. The scope of this book is very large; it clarifies, summarizes, and unifies the results reported in over 1000 research papers.This book is very well written.The introduction is great, since it shows the connection to other research fields in mathematics and computer science. It also clearly defines the basic concepts of Digital Geometry that are the underlying concepts in image processing, computer vision, and computer graphics. Most books in these fields do not define these concepts at all.I see this book as very suitable for the first part of courses on Image Processing and Computer Vision, since it provides a clear definition of the underlying structure of digital images.I also strongly recommend this book to graduate and undergraduate students of Mathematics and Computer Science who want a clearly written introduction to the underlying concepts of computer vision and computer graphics.

⭐potraceというラスタベクトル変換ツールのソースコードを徹底的に解読したいためにいろいろ調べていて（やっと）本書に巡り会いました。画像の数学的基礎や性質から処理アルゴリズムまで，特に二値画像に特化して書かれているのが珍しく嬉しい。和書ではほとんどないんですよね，デジタル直線や二値画像の理論に詳しいのが。かろうじて手に入るのが「画像理解のためのディジタル画像処理」でそこそこ良いのですが，画素の４近傍と８近傍の本質的な論理的差異などに深入り議論しておらず，関係論文が読みこなせません。目的のKovalevsky,1990やDebled-Rennesson,1995といった著名なトレーシングアルゴリズムまで行き着くのは相当時間がかかりそうなので，本書をベースとした海外の大学の無料公開されている講義録など併用して（要点を追いながら）がんばって読んでます。はっきり言って本書の誤字脱字はかなり多いです（付属正誤表以外にも）。が，それにもまして内容の充実度から星５です。

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