Handbook of Mathematical Methods in Imaging
Handbook of Mathematical Methods in Imaging

Author: Otmar Scherzer

Publisher: Springer Science & Business Media

Published: 2010-11-23

Total Pages: 1626

ISBN-13: 0387929193

DOWNLOAD EBOOK

The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.

Regularized Image Reconstruction in Parallel MRI with MATLAB
Regularized Image Reconstruction in Parallel MRI with MATLAB

Author: Joseph Suresh Paul

Publisher: CRC Press

Published: 2019-11-05

Total Pages: 289

ISBN-13: 135102924X

DOWNLOAD EBOOK

Regularization becomes an integral part of the reconstruction process in accelerated parallel magnetic resonance imaging (pMRI) due to the need for utilizing the most discriminative information in the form of parsimonious models to generate high quality images with reduced noise and artifacts. Apart from providing a detailed overview and implementation details of various pMRI reconstruction methods, Regularized image reconstruction in parallel MRI with MATLAB examples interprets regularized image reconstruction in pMRI as a means to effectively control the balance between two specific types of error signals to either improve the accuracy in estimation of missing samples, or speed up the estimation process. The first type corresponds to the modeling error between acquired and their estimated values. The second type arises due to the perturbation of k-space values in autocalibration methods or sparse approximation in the compressed sensing based reconstruction model. Features: Provides details for optimizing regularization parameters in each type of reconstruction. Presents comparison of regularization approaches for each type of pMRI reconstruction. Includes discussion of case studies using clinically acquired data. MATLAB codes are provided for each reconstruction type. Contains method-wise description of adapting regularization to optimize speed and accuracy. This book serves as a reference material for researchers and students involved in development of pMRI reconstruction methods. Industry practitioners concerned with how to apply regularization in pMRI reconstruction will find this book most useful.

Image Processing Based on Partial Differential Equations
Image Processing Based on Partial Differential Equations

Author: Xue-Cheng Tai

Publisher: Springer Science & Business Media

Published: 2006-11-22

Total Pages: 440

ISBN-13: 3540332677

DOWNLOAD EBOOK

This book publishes a collection of original scientific research articles that address the state-of-art in using partial differential equations for image and signal processing. Coverage includes: level set methods for image segmentation and construction, denoising techniques, digital image inpainting, image dejittering, image registration, and fast numerical algorithms for solving these problems.

Computational Methods for Inverse Problems
Computational Methods for Inverse Problems

Author: Curtis R. Vogel

Publisher: SIAM

Published: 2002-01-01

Total Pages: 195

ISBN-13: 0898717574

DOWNLOAD EBOOK

Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.

Theoretical Foundations and Numerical Methods for Sparse Recovery
Theoretical Foundations and Numerical Methods for Sparse Recovery

Author: Massimo Fornasier

Publisher: Walter de Gruyter

Published: 2010-07-30

Total Pages: 351

ISBN-13: 3110226154

DOWNLOAD EBOOK

The present collection is the very first contribution of this type in the field of sparse recovery. Compressed sensing is one of the important facets of the broader concept presented in the book, which by now has made connections with other branches such as mathematical imaging, inverse problems, numerical analysis and simulation. The book consists of four lecture notes of courses given at the Summer School on "Theoretical Foundations and Numerical Methods for Sparse Recovery" held at the Johann Radon Institute for Computational and Applied Mathematics in Linz, Austria, in September 2009. This unique collection will be of value for a broad community and may serve as a textbook for graduate courses. From the contents: "Compressive Sensing and Structured Random Matrices" by Holger Rauhut "Numerical Methods for Sparse Recovery" by Massimo Fornasier "Sparse Recovery in Inverse Problems" by Ronny Ramlau and Gerd Teschke "An Introduction to Total Variation for Image Analysis" by Antonin Chambolle, Vicent Caselles, Daniel Cremers, Matteo Novaga and Thomas Pock

Level Set and PDE Based Reconstruction Methods in Imaging
Level Set and PDE Based Reconstruction Methods in Imaging

Author: Martin Burger

Publisher: Springer

Published: 2013-10-17

Total Pages: 329

ISBN-13: 3319017128

DOWNLOAD EBOOK

This book takes readers on a tour through modern methods in image analysis and reconstruction based on level set and PDE techniques, the major focus being on morphological and geometric structures in images. The aspects covered include edge-sharpening image reconstruction and denoising, segmentation and shape analysis in images, and image matching. For each, the lecture notes provide insights into the basic analysis of modern variational and PDE-based techniques, as well as computational aspects and applications.

ICAOS ’96 12th International Conference on Analysis and Optimization of Systems
ICAOS ’96 12th International Conference on Analysis and Optimization of Systems

Author: Marie-Odile Berger

Publisher: Springer

Published: 1996-06-25

Total Pages: 386

ISBN-13:

DOWNLOAD EBOOK

This volume contains the proceedings of ICAOS '96 the 12th International Conference on Analysis and Optimization of Systems. This conference was co-organized by INRIA and the CEREMADE and was dedicated to Images, Wavelets and PDE's. The aim of the conference was to discuss the impact on image analysis of recent mathematical developments in multiscale analysis, partial differential equations, variational methods and so on. ICAOS '96 provided a forum for image processing researchers and mathematicians to interact and to exchange their technical knowledge and experience, theoretical or practical, in this emerging and exciting domain. The selected papers have been organized according to the following sessions, each session corresponding to a section of the book: 1. Active Contours; 2. Image Enhancement and Restoration, Scale-Spaces; 3. Wavelets; 4. Image Segmentation; 5. Image Restoration; 6. Coding; 7. Applications.

Mathematical Methods in Engineering
Mathematical Methods in Engineering

Author: Nuno Miguel Fonseca Ferreira

Publisher: Springer

Published: 2014-08-18

Total Pages: 311

ISBN-13: 9400771835

DOWNLOAD EBOOK

This book presents a careful selection of the contributions presented at the Mathematical Methods in Engineering (MME10) International Symposium, held at the Polytechnic Institute of Coimbra- Engineering Institute of Coimbra (IPC/ISEC), Portugal, October 21-24, 2010. The volume discusses recent developments about theoretical and applied mathematics toward the solution of engineering problems, thus covering a wide range of topics, such as: Automatic Control, Autonomous Systems, Computer Science, Dynamical Systems and Control, Electronics, Finance and Economics, Fluid Mechanics and Heat Transfer, Fractional Mathematics, Fractional Transforms and Their Applications, Fuzzy Sets and Systems, Image and Signal Analysis, Image Processing, Mechanics, Mechatronics, Motor Control and Human Movement Analysis, Nonlinear Dynamics, Partial Differential Equations, Robotics, Acoustics, Vibration and Control, and Wavelets.

Deblurring Images
Deblurring Images

Author: Per Christian Hansen

Publisher: SIAM

Published: 2006-01-01

Total Pages: 144

ISBN-13: 9780898718874

DOWNLOAD EBOOK

Describes the deblurring algorithms and techniques collectively known as spectral filtering methods, in which the singular value decomposition, or a similar decomposition with spectral properties, is used to introduce the necessary regularization or filtering in the reconstructed image. The concise MATLAB® implementations described in the book provide a template of techniques that can be used to restore blurred images from many applications.