Digital Geometry in Image Processing
暫譯: 數位幾何在影像處理中的應用

Mukhopadhyay, Jayanta, Das, Partha Pratim, Chattopadhyay, Samiran

Digital Geometry in Image Processing

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商品描述

Exploring theories and applications developed during the last 30 years, Digital Geometry in Image Processing presents a mathematical treatment of the properties of digital metric spaces and their relevance in analyzing shapes in two and three dimensions. Unlike similar books, this one connects the two areas of image processing and digital geometry, highlighting important results of digital geometry that are currently used in image analysis and processing.

 

 

The book discusses different digital geometries in multi-dimensional integral coordinate spaces. It also describes interesting properties of the geometries, including metric and topological properties, shapes of circles and spheres, proximity to Euclidean norms, and number theoretic representations of geometric objects such as straight lines and circles. The authors--all active researchers in image processing and digital geometry--demonstrate how these concepts and properties are useful in various techniques for image processing and analysis. In particular, the book covers applications in object representation and shape analysis.

 

 

 

 

With many figures (some in color) and end-of-chapter exercises, this book provides an in-depth, unified account of digital metrics, the characterization of digital curves and straight lines, and their uses in shape analysis. It gives you insight on the latest two- and three-dimensional image processing applications.

 

 

商品描述(中文翻譯)

探索過去30年發展的理論和應用，數位幾何在影像處理中的應用 提供了數位度量空間性質的數學處理，以及它們在分析二維和三維形狀中的相關性。與類似書籍不同，本書將影像處理和數位幾何這兩個領域連結起來，突顯了目前在影像分析和處理中使用的重要數位幾何結果。

本書討論了多維整數座標空間中的不同數位幾何。它還描述了這些幾何的有趣性質，包括度量和拓撲性質、圓形和球體的形狀、與歐幾里得範數的接近程度，以及幾何物件（如直線和圓形）的數論表示。作者們都是影像處理和數位幾何的活躍研究者，展示了這些概念和性質在各種影像處理和分析技術中的實用性。特別是，本書涵蓋了物件表示和形狀分析的應用。

本書包含許多圖形（部分為彩色）和章末練習，提供了數位度量、數位曲線和直線的特徵化及其在形狀分析中的應用的深入統一說明。它讓您了解最新的二維和三維影像處理應用。

作者簡介

Jayanta Mukhopadhyay is a professor in the Department of Computer Science and Engineering at the Indian Institute of Technology (IIT) Kharagpur, where he is currently head of the Department of Computer Science and Engineering and the School of Information and Technology. Dr. Mukhopadhyay was a Humboldt Research Fellow at the Technical University of Munich and has held visiting positions at the University of California-Santa Barbara, University of Southern California, and the National University of Singapore. He is a senior member of the IEEE and a fellow of the Indian National Academy of Engineering (INAE). His research interests include image processing, pattern recognition, computer graphics, multimedia systems, and medical informatics. He has published more than 170 journal articles and conference proceedings in these areas. He received his B.Tech., M.Tech., and Ph.D. in electronics and electrical communication engineering from IIT Kharagpur.

 

 

Partha Pratim Das is a professor in the Department of Computer Science and Engineering at IIT Kharagpur. He is also a visiting professor in the Institute of Radio Physics and Electronics at Calcutta University. Dr. Das is a member of the Association for Computing Machinery (ACM) and the VLSI Society of India and a reviewer for ACM Computing Surveys and Pattern Recognition Letters. He has published over 40 technical papers in digital geometry, image processing, parallel computing, and knowledge-based systems and has co-authored a book Digital Geometry in Image Processing. His research interests include object tracking and interpretation in videos, medical information processing, and debugging automation for multi-threaded programs. He obtained his B.Tech., M.Tech., and Ph.D. in electronics and electrical communication from IIT Kharagpur.

 

 

 

 

Samiran Chattopadhyay is a professor in the Department of Information Technology at Jadavpur Univers

 

 

作者簡介(中文翻譯)

Jayanta Mukhopadhyay 是印度理工學院（IIT）卡哈格普爾分校計算機科學與工程系的教授，目前擔任計算機科學與工程系及資訊與技術學院的系主任。穆克帕迪亞博士曾是慕尼黑工業大學的洪堡研究學者，並在加州大學聖塔巴巴拉分校、南加州大學及新加坡國立大學擔任訪問職位。他是IEEE的資深會員及印度國家工程院（INAE）的院士。他的研究興趣包括影像處理、模式識別、計算機圖形學、多媒體系統及醫療資訊學。他在這些領域發表了超過170篇期刊文章和會議論文。他在IIT卡哈格普爾獲得電子與電氣通信工程的學士、碩士及博士學位。

Partha Pratim Das 是IIT卡哈格普爾計算機科學與工程系的教授。他同時也是加爾各答大學無線電物理與電子學研究所的訪問教授。達斯博士是計算機協會（ACM）及印度VLSI協會的成員，並擔任ACM Computing Surveys及Pattern Recognition Letters的審稿人。他在數位幾何、影像處理、平行計算及基於知識的系統方面發表了超過40篇技術論文，並共同撰寫了書籍Digital Geometry in Image Processing。他的研究興趣包括視頻中的物體追蹤與解釋、醫療資訊處理及多執行緒程式的除錯自動化。他在IIT卡哈格普爾獲得電子與電氣通信的學士、碩士及博士學位。

Samiran Chattopadhyay 是賈達夫普爾大學資訊技術系的教授。

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