Multidimensional Signal and Color Image Processing Using Lattices (Hardcover)

Eric Dubois

  • 出版商: Wiley
  • 出版日期: 2019-04-29
  • 售價: $1,680
  • 貴賓價: 9.8$1,646
  • 語言: 英文
  • 頁數: 408
  • ISBN: 1119111749
  • ISBN-13: 9781119111740
  • 立即出貨 (庫存=1)

買這商品的人也買了...

商品描述

An Innovative Approach to Multidimensional Signals and Systems Theory for Image and Video Processing

In this volume, Eric Dubois further develops the theory of multi-D signal processing wherein input and output are vector-value signals. With this framework, he introduces the reader to crucial concepts in signal processing such as continuous- and discrete-domain signals and systems, discrete-domain periodic signals, sampling and reconstruction, light and color, random field models, image representation and more.

While most treatments use normalized representations for non-rectangular sampling, this approach obscures much of the geometrical and scale information of the signal. In contrast, Dr. Dubois uses actual units of space-time and frequency. Basis-independent representations appear as much as possible, and the basis is introduced where needed to perform calculations or implementations. Thus, lattice theory is developed from the beginning and rectangular sampling is treated as a special case. This is especially significant in the treatment of color and color image processing and for discrete transform representations based on symmetry groups, including fast computational algorithms. Other features include:

  • An entire chapter on lattices, giving the reader a thorough grounding in the use of lattices in signal processing
  • Extensive treatment of lattices as used to describe discrete-domain signals and signal periodicities
  • Chapters on sampling and reconstruction, random field models, symmetry invariant signals and systems and multidimensional Fourier transformation properties
  • Supplemented throughout with MATLAB examples and accompanying downloadable source code

Graduate and doctoral students as well as senior undergraduates and professionals working in signal processing or video/image processing and imaging will appreciate this fresh approach to multidimensional signals and systems theory, both as a thorough introduction to the subject and as inspiration for future research.

商品描述(中文翻譯)

「多維信號與系統理論在影像和視頻處理中的創新方法」

在這本書中,Eric Dubois進一步發展了多維信號處理的理論,其中輸入和輸出是向量值信號。通過這個框架,他向讀者介紹了信號處理中的重要概念,如連續和離散域信號和系統、離散域周期信號、取樣和重建、光和顏色、隨機場模型、圖像表示等。

儘管大多數方法使用非矩形取樣的規範化表示,但這種方法模糊了信號的很多幾何和尺度信息。相反,Dubois博士使用實際的時空和頻率單位。盡可能使用基礎獨立的表示,只在需要進行計算或實現時引入基礎。因此,從一開始就發展了格子理論,並將矩形取樣視為一種特殊情況。這在處理顏色和彩色圖像處理以及基於對稱群的離散變換表示,包括快速計算算法方面尤其重要。其他特點包括:

- 一整章關於格子,為讀者提供了在信號處理中使用格子的全面基礎
- 對格子的廣泛應用,用於描述離散域信號和信號周期性
- 關於取樣和重建、隨機場模型、對稱不變信號和系統以及多維傅立葉變換性質的章節
- 配有MATLAB示例和可下載的源代碼

研究生、博士生以及在信號處理、視頻/圖像處理和成像領域工作的高年級本科生和專業人士將會喜歡這種對多維信號與系統理論的新鮮方法,既作為對該主題的全面介紹,也作為未來研究的靈感。