Variational Methods in Image Processing (Hardcover)
暫譯: 影像處理中的變分方法 (精裝版)

Luminita A. Vese, Carole Le Guyader

  • 出版商: Chapman and Hall/CRC
  • 出版日期: 2015-12-18
  • 售價: $4,270
  • 貴賓價: 9.5$4,057
  • 語言: 英文
  • 頁數: 410
  • 裝訂: Hardcover
  • ISBN: 1439849730
  • ISBN-13: 9781439849736
  • 海外代購書籍(需單獨結帳)

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商品描述

Variational Methods in Image Processing presents the principles, techniques, and applications of variational image processing. The text focuses on variational models, their corresponding Euler–Lagrange equations, and numerical implementations for image processing. It balances traditional computational models with more modern techniques that solve the latest challenges introduced by new image acquisition devices.

The book addresses the most important problems in image processing along with other related problems and applications. Each chapter presents the problem, discusses its mathematical formulation as a minimization problem, analyzes its mathematical well-posedness, derives the associated Euler–Lagrange equations, describes the numerical approximations and algorithms, explains several numerical results, and includes a list of exercises. MATLAB® codes are available online.

Filled with tables, illustrations, and algorithms, this self-contained textbook is primarily for advanced undergraduate and graduate students in applied mathematics, scientific computing, medical imaging, computer vision, computer science, and engineering. It also offers a detailed overview of the relevant variational models for engineers, professionals from academia, and those in the image processing industry.

商品描述(中文翻譯)

《影像處理中的變分方法》介紹了變分影像處理的原則、技術和應用。該書重點關注變分模型、相應的歐拉-拉格朗日方程以及影像處理的數值實現。它在傳統計算模型與解決新影像獲取設備所帶來的最新挑戰的現代技術之間取得了平衡。

本書針對影像處理中最重要的問題以及其他相關問題和應用進行探討。每一章都提出問題,討論其作為最小化問題的數學表述,分析其數學的良好定義性,推導相關的歐拉-拉格朗日方程,描述數值近似和算法,解釋幾個數值結果,並包含練習題列表。MATLAB® 代碼可在線獲取。

這本自成一體的教科書充滿了表格、插圖和算法,主要針對應用數學、科學計算、醫學影像、計算機視覺、計算機科學和工程的高年級本科生和研究生。它還為工程師、學術界專業人士以及影像處理行業的從業者提供了相關變分模型的詳細概述。

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