Mathematics of Shape Description: A Morphological Approach to Image Processing and Computer Graphics
暫譯: 形狀描述的數學:影像處理與電腦圖形學的形態學方法
Pijush K. Ghosh, Koichiro Deguchi
- 出版商: Wiley
- 出版日期: 2008-03-01
- 定價: $4,290
- 售價: 5.0 折 $2,145
- 語言: 英文
- 頁數: 264
- 裝訂: Hardcover
- ISBN: 0470823070
- ISBN-13: 9780470823071
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相關分類:
Computer Graphics
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相關主題
商品描述
Image processing problems are often not well defined because real images are contaminated with noise and other uncertain factors. In Mathematics of Shape Description, the authors take a mathematical approach to address these problems using the morphological and set-theoretic approach to image processing and computer graphics by presenting a simple shape model using two basic shape operators called Minkowski addition and decomposition.
This book is ideal for professional researchers and engineers in Information Processing, Image Measurement, Shape Description, Shape Representation and Computer Graphics. Post-graduate and advanced undergraduate students in pure and applied mathematics, computer sciences, robotics and engineering will also benefit from this book.
Key Features
- Explains the fundamental and advanced relationships between algebraic system and shape description through the set-theoretic approach
- Promotes interaction of image processing geochronology and mathematics in the field of algebraic geometry
- Provides a shape description scheme that is a notational system for the shape of objects
- Offers a thorough and detailed discussion on the mathematical characteristics and significance of the Minkowski operators
商品描述(中文翻譯)
影像處理問題通常定義不明確,因為真實影像受到噪聲和其他不確定因素的污染。在《形狀描述的數學》中,作者採用數學方法來解決這些問題,使用形態學和集合論的方法進行影像處理和計算機圖形學,並通過兩個基本形狀運算子——明可夫斯基加法(Minkowski addition)和分解(decomposition)來呈現一個簡單的形狀模型。
本書非常適合資訊處理、影像測量、形狀描述、形狀表示和計算機圖形學領域的專業研究人員和工程師。純粹數學、應用數學、計算機科學、機器人學和工程學的研究生及高年級本科生也將從本書中受益。
主要特點
- 通過集合論的方法解釋代數系統與形狀描述之間的基本和進階關係
- 促進影像處理地質年代學與代數幾何領域中的數學互動
- 提供一個形狀描述方案,作為物體形狀的符號系統
- 對明可夫斯基運算子的數學特性和重要性進行徹底而詳細的討論
