Variational methods in image processing

by Vese, Luminita A.

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Title Statements

Full title :Variational methods in image processing / Luminita A. Vese and Carole Le Guyader.

Edition Statements

Publication Date:2016.
Edition:1st

Publication Statements

Publisher(s):Chapman & Hall/CRC
Place of Publication:Boca Raton
Language:eng
Publication Date:2016.

Notes

Previously issued in print: 2011.

The Physical Object

Description:1 online resource : : illustrations (black and white).

Edition Identifiers

ISBN:9781439849743, 1439849749
oclc:ocn988947380
LC Classification:TA1637
Dewey Decimal:621.3670151564

Introduction and Book Overview; Introduction; Overview Mathematical Background; Tikhonov Regularization of Ill-Posed Inverse Problems; Maximum a Posteriori (MAP) Estimate; Convolution; Fourier Transform; Topologies on Banach Spaces; Sobolev and BV Spaces; Calculus of Variations; Geometric Curve Evolution; Variational Level Set Methods; Numerical Analysis Image Restoration; Variational Image Restoration Models; Linear Degradation Model with Gaussian Noise and Total Variation Regularization; Numerical Results for Image Restoration; Compressive Sensing for Computerized Tomography Reconstruction Nonlocal Variational Methods in Image Restoration ; Introduction to Neighborhood Filters and NL Means; Variational Nonlocal Regularization for Image Restoration; Numerical Results for Image Restoration Image Decomposition into.

Cartoon and Texture; Modeling; Numerical Results for Image Decomposition into Cartoon and Texture Image Segmentation and Boundary Detection ; Mumford and Shah Functional for Image Segmentation ; Description of the Mumford and Shah Model; Weak Formulation of the Mumford and Shah Functional: MSH1 ; Mumford and Shah TV Functional: MSTV Phase-Field Approximations to the Mu…