Mathematical Methods for Signal and Image Analysis and Representation (Computational Imaging and Vision) (Volume 41)
暫譯: 信號與影像分析及表示的數學方法(計算影像與視覺)(第41卷)
- 出版商: Springer
- 出版日期: 2014-02-22
- 售價: $4,520
- 貴賓價: 9.5 折 $4,294
- 語言: 英文
- 頁數: 332
- 裝訂: Paperback
- ISBN: 1447158903
- ISBN-13: 9781447158905
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商品描述
Mathematical Methods for Signal and Image Analysis and Representation presents the mathematical methodology for generic image analysis tasks. In the context of this book an image may be any m-dimensional empirical signal living on an n-dimensional smooth manifold (typically, but not necessarily, a subset of spacetime). The existing literature on image methodology is rather scattered and often limited to either a deterministic or a statistical point of view. In contrast, this book brings together these seemingly different points of view in order to stress their conceptual relations and formal analogies.
Furthermore, it does not focus on specific applications, although some are detailed for the sake of illustration, but on the methodological frameworks on which such applications are built, making it an ideal companion for those seeking a rigorous methodological basis for specific algorithms as well as for those interested in the fundamental methodology per se.
Covering many topics at the forefront of current research, including anisotropic diffusion filtering of tensor fields, this book will be of particular interest to graduate and postgraduate students and researchers in the fields of computer vision, medical imaging and visual perception.
商品描述(中文翻譯)
《信號與影像分析及表徵的數學方法》介紹了通用影像分析任務的數學方法論。在本書的背景下,影像可以是任何位於 n 維光滑流形上的 m 維實證信號(通常,但不一定,是時空的子集)。現有的影像方法文獻相當分散,且通常僅限於確定性或統計的觀點。相對而言,本書將這些看似不同的觀點結合在一起,以強調它們的概念關係和形式類比。
此外,本書並不專注於特定的應用,雖然為了說明而詳細介紹了一些應用,而是專注於這些應用所建立的方法論框架,使其成為尋求特定演算法嚴謹方法論基礎的讀者以及對基本方法論本身感興趣的讀者的理想伴侶。
本書涵蓋許多當前研究前沿的主題,包括張量場的各向異性擴散濾波,對於計算機視覺、醫學影像和視覺感知領域的研究生和研究人員將特別感興趣。