Digital and Discrete Geometry: Theory and Algorithms

Li M. Chen

Digital and Discrete Geometry: Theory and Algorithms
  • 出版商: Springer
  • 出版日期: 2016-09-24
  • 售價: $2,270
  • 貴賓價: 9.5 折 $2,157
  • 語言: 英文
  • 頁數: 322
  • 裝訂: Paperback
  • ISBN: 3319348620
  • ISBN-13: 9783319348629
  • 相關分類: Algorithms-data-structures

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

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 informati
on 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.

商品描述(中文翻譯)

本書全面涵蓋了計算科學中幾何問題的現代方法。它還涉及數據科學中的相關主題，包括幾何處理、流形學習、Google 搜尋、雲數據以及用於無線網絡和大數據的 R-tree。

作者探討了數位幾何及其在離散幾何中的相關建構方法，提供詳細的方法和演算法。本書分為五個部分：基本幾何；數位曲線、表面和流形；離散表示的物件；幾何計算和處理；以及進階主題。各章特別關注這些方法在其他類型幾何、代數拓撲、影像處理、計算機視覺和計算機圖形學中的應用。

《數位與離散幾何：理論與演算法》針對從事數位影像處理分析、醫學影像（如 CT 和 MRI）及資訊學、計算機圖形學、計算機視覺、生物識別和資訊理論的研究人員和專業人士。電機工程、數學和計算機科學的高年級學生也會發現本書作為輔助教材或參考書相當有用。

對本書的讚譽：
本書確實呈現了一大批重要概念，這些概念在計算機圖形學和影像處理中經常使用，無論是數學、幾何還是演算法性質的。這些概念從圖形到流形再到同調，範圍廣泛。特別有價值的是處理經典連續概念的離散版本的部分。讀者可以找到簡潔的定義和簡明的解釋，這些解釋通常能引起直覺，避免了更細緻但必然更複雜的論證……作為初步介紹或作為計算機圖形學或影像處理專業人士的參考，本書應該具有相當的價值。- 波恩大學 Rolf Klein 教授。

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