Digital Geometry: Geometric Methods for Digital Picture Analysis
暫譯: 數位幾何：數位影像分析的幾何方法
Reinhard Klette, Azriel Rosenfeld
- 出版商: Morgan Kaufmann
- 出版日期: 2004-08-06
- 售價: $1,176
- 語言: 英文
- 頁數: 672
- 裝訂: Hardcover
- ISBN: 1558608613
- ISBN-13: 9781558608610
-
相關分類:
Computer Graphics
已絕版
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商品描述
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.
Table of Contents:
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.
商品描述(中文翻譯)
描述：
數位幾何是從數位圖片中推導幾何資訊的學科。這個領域大約在四十年前從其數學根源中發展而來，透過計算機影像技術的研究，今天被廣泛應用於許多領域，例如數位影像處理與分析（應用於醫學影像、模式識別和機器人技術）以及計算機圖形學。數位幾何 是第一本詳細介紹該學科的概念、演算法和實踐的書籍。這本全面的文本和參考資料提供了數位幾何的數學基礎介紹，其中一些可以追溯到古代，並且還討論了涉及的關鍵過程，例如幾何演算法以及對圖片的操作。
目錄：
引言。網格與數位化。度量。鄰接圖。事件偽圖。拓撲：基礎。曲線與表面：拓撲。曲線與表面：幾何。直線性。弧長與曲率。三維直線性與平面性。表面與面積曲率。外殼與圖示。變換。形態學操作。變形。其他性質與關係。參考文獻。
