Variational Methods in Image Processing

✍ Scribed by Luminita A. Vese (Author); Carole Le Guyader (Author)

Publisher: Chapman and Hall/CRC
Year: 2015
Leaves: 416
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ 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 t

✦ Table of Contents

Introduction and Book Overview. Mathematical Background. IMAGE RESTORATION: Variational Image Restoration Models. Nonlocal Variational Methods in Image Restoration. Image Decomposition into Cartoon and Texture. IMAGE SEGMENTATION AND BOUNDARY DETECTION: The Mumford and Shah Functional for Image Segmentation. Phase-Field Approximations to the Mumford and Shah Problem. Region-Based Variational Active Contours. Edge-Based Variational Snakes and Active Contours. APPLICATIONS: Nonlocal Mumford-Shah and Ambrosio-Tortorelli Variational Models. A Combined Segmentation and Registration Variational Model. Variational Image Registration Models. A Piecewise-Constant Binary Model for Electrical Impedance Tomography. Additive and Multiplicative Piecewise-Smooth Segmentation Models. Numerical Methods for p - harmonic Flows.

✦ Subjects

Computer Science;Computer Graphics & Visualization;Engineering & Technology;Electrical & Electronic Engineering;Image Processing;Mathematics & Statistics;Applied Mathematics

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