Variational Methods in Image Processing

Luminita A Vese

ISBN 10: 1439849730 / ISBN 13: 9781439849736

Published by CRC Press Dez 2015, 2015

About this Item

Neuware - Filled with tables, illustrations, algorithms, and exercises, this self-contained textbook presents the principles, techniques, and applications of variational image processing. It focuses on variational models, their corresponding Euler-Lagrange equations, and numerical implementations for image processing. The book balances traditional computational models with more modern techniques that solve the latest challenges introduced by new image acquisition devices. It includes the necessary mathematical background and covers the most important problems in image processing.

Seller Inventory # 9781439849736

Bibliographic Details

• Title: Variational Methods in Image Processing
• Publisher: CRC Press Dez 2015
• Publication Date: 2015
• Language: English
• ISBN 10: 1439849730
• ISBN 13: 9781439849736
• Binding: Buch
• Condition: Neu
• Dimensions: 236W x 154H x 30D millimeters 236 millimeters width by 154 millimeters height by 30 millimeters depth
• Weight: 726 grams

About this title

Synopsis

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.

About the Author

Luminita A. Vese is a professor in the Department of Mathematics at UCLA. She is the author or co-author of numerous papers and book chapters on the calculus of variations, PDEs, numerical analysis, image analysis, curve evolution, computer vision, and free boundary problems.

Carole Le Guyader is an associate professor in the mathematical and software engineering department at the National Institute of Applied Sciences of Rouen. She has authored or co-authored many papers on analysis and simulation, digital imaging mathematics and applications, and parallel computing.