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# Digital Signal and Image Processing

# Computational Color Science

## Variational Retinex-like Methods

Color is a sensation generated both by the interaction of the visual sensors in the eyes with the natural environment and by the elaboration of visual information by higher brain functions.

This book presents the mathematical framework needed to deal with several models of color processing of digital images.

The book starts with a short yet exhaustive introduction to the basic phenomenological ...

# From Photon to Pixel – Revised and Updated 2nd Edition

## The Digital Camera Handbook

This second edition of the fully revised and updated From Photon to Pixel presents essential elements in modern digital photographic devices.

Our universal infatuation with photography profoundly affects its usage and development.

While some sides of photographic “culture” remain wholly unchanged – art photography, journalistic and advertising photography, scientific photography, etc. – new fa...

# Signals and Control Systems

## Application for Home Health Monitoring

The purpose of this book is the study of signals and deterministic, linear, time-invariant, finite and causal dimension systems. A set of practical tools is presented for automatic and signal processing. Methods of representation of dynamic linear systems and the analysis of their behavior are put forward. The identification and synthesis of control laws for stabilization and regulation is then di...

# Fundamentals of Signals and Control Systems

The purpose of this book is the study of signals and deterministic, linear, time-invariant, finite and causal dimension systems. A set of practical tools is presented for automatic and signal processing. Methods of representation of dynamic linear systems and the analysis of their behavior are put forward. The identification and synthesis of control laws for stabilization and regulation is then di...

# Digital Signal Processing with Python Programming

This book addresses the basic principles of statistical inference. The first chapter recalls the basis of probabilities. The second chapter is devoted to point estimation, the hypothesis test, including p-values, the confidence region determination, mentioning only the most important concepts. The main practical approaches, such as the least squares minimization, the moment method and the likeliho...

# Fourier Analysis

This book focuses on the use of fundamental concepts in the treatment of deterministic signals. Each chapter presents the basic principles of the different aspect of the study of Fourier analysis, followed by a series of exercises for the reader to try.

These exercises provide the reader with a good working knowledge of the principles that are at the basis of Fourier analysis.

"We do not learn a...

# Digital Signal and Image Processing using Matlab® – 2nd edition

## Volume 3 – Advances and Applications: The Stochastic Case

Volume 3 of the second edition of the fully revised and updated Digital Signal and Image Processing using MATLAB®, after the first two volumes on the fundamentals and applications of Image and Signal Processing, focuses on the stochastic case. It will be of particular benefit to readers who already possess a good knowledge of MATLAB® and a command of the fundamental elements of digital signal proc...

# Multi-modality Cardiac Imaging

## Processing and Analysis

This book presents current and emerging methods developed for the processing and analysis of multi-modality cardiac images from state-of-the-art imaging systems, especially cardiac ultrasound imaging, magnetic resonance imaging (MRI) and X-ray computed tomography (CT). The availability of multi-dimensional images (2D, 2D+t, 3D, 3D+t, etc.) allows for the quantitative assessment of the heart's shap...

# Digital Signal and Image Processing using Matlab® – 2nd edition

## Volume 2 – Advances and Applications: The Deterministic Case

Volume 2 of the second edition of the fully revised and updated Digital Signal and Image Processing using MATLAB® is essentially a collection of examples and exercises which also presents applications of digital signal- or image processing, and techniques which were not touched upon in the previous volume. It will be of particular benefit to readers who already possess a good knowledge of MATLAB®,...

# Regularization and Bayesian Methods for Inverse Problems in Signal and Image Processing

The solution of inverse problems is an unavoidable step in the signal and image processing chain, situated between data acquisition and decision making. Various inversion problems are presented by the authors of this book, such as tomography, detection-estimation, multi-resolution analysis, moving object tracking, and sparse approximations.

Recent mathematical concepts and tools in information t...

# Tracking with Particle Filter for High-dimensional observation and State Spaces

Whilst the domains of electronics and micro-electronics saw much progress in the last three decades, the acquisition of video sequences became a task of increasing triviality. However, these advancements, which have given rise to rapid improvements in sensor quality and therefore image resolution, as well as increases in computer processing power and memory, have made it possible, perhaps essenti...

# Mathematical Foundations of Image Processing and Analysis 1

Mathematical Imaging is currently a rapidly growing field in applied mathematics, with an increasing need for theoretical mathematics.

This book, the first of two volumes, emphasizes the role of mathematics as a rigorous basis for imaging sciences. It provides a comprehensive and convenient overview of the key mathematical concepts, notions, tools and frameworks involved in the various fields of...

# Digital Signal and Image Processing using Matlab® – 2nd edition

## Volume 1 – Fundamentals

Volume 1 of the second edition of the fully revised and updated Digital Signal and Image Processing using MATLAB® presents the most important theoretical aspects of Image and Signal Processing (ISP) for both deterministic and random signals. The theory is supported by exercises and computer simulations relating to real applications.

More than 200 programs and functions are provided in the MATLAB...

# Mathematical Foundations of Image Processing and Analysis 2

Mathematical Imaging is currently a rapidly growing field in applied mathematics, with an increasing need for theoretical mathematics.

This book, the second of two volumes, emphasizes the role of mathematics as a rigorous basis for imaging sciences. It provides a comprehensive and convenient overview of the key mathematical concepts, notions, tools and frameworks involved in the various fields o...

# Quaternion Fourier Transforms for Signal and Image Processing

## FOCUS Series in Digital Signal and Image Processing

This book presents the state of the art, together with the most recent research results, in the use of Quaternion Fourier Transforms (QFT) for the processing of color images and complex valued signals. It is based on the work of the authors in this area since the 1990s and presents the mathematical concepts, computational issues and applications on images and signals. The book, together with the M...

# Signal Integrity

## From High Speed to Radiofrequency Applications

Presenting the concepts necessary for the design and testing of radiofrequency and high-speed circuits, this book explores signal and propagation theory for various circuit levels, from the chip to the PCB. The co-existence of high-speed wideband signals, radiofrequency signals and supply circuits is developed in order to provide design rules for engineers and Masters-level students – it can also ...

# Medical Imaging Based on Magnetic Fields and Ultrasounds

The importance of medical imaging for diagnostics is strongly increasing. It is now necessary to have a good knowledge of the different physical principles possible.

This book provides an overview of the progress made in the different domains of imaging from various angles. It describes the principles and types of equipment used in medical imaging. Chapter 1 focuses on medical ultrasound imaging,...

# Time–Frequency Domain for Segmentation and Classification of Non-stationary Signals

## The Stockwell Transform Applied on Bio-signals and Electric Signals

Non-stationary signals are generally found in nature and any information concerning such signals cannot easily be described or predicted. The extraction, analysis and classification of these signals are complicated by different types of noise. As any false results could possibly have dire consequences, the robustness of tools used for these purposes in certain fields is of course vital.

With this...

# Nonlinear Digital Encoders for Data Communications

The authors of this book present novel solutions for channel coding using nonlinear sequence generators in order to demonstrate that nonlinear encoders can be designed to provide good performances and to encourage researchers to investigate these approaches further.

Chapter 1 introduces nonlinear digital encoders, and their main applications for telecommunications are presented and discussed. A m...

# Signal Processing with Free Software

## FOCUS Series in Digital Signal and Image Processing

Signal Processing with Free Software presents practical experiments in signal processing in order to demonstrate some possibilities for the practical implementation of signal processing techniques. To do this, the author uses free software applications, including SoX, Audacity and Visual Analyser, focusing on their uses in real situations.

The text introduces elementary signals through elementary...

# Remote Sensing Imagery

Dedicated to remote sensing images, from their acquisition to their use in various applications, this book covers the global lifecycle of images, including sensors and acquisition systems, applications such as movement monitoring or data assimilation, and image and data processing.

It is organized in three main parts. The first part presents technological information about remote sensing (choic...

# Blind Identification and Separation of Complex-valued Signals

## FOCUS Series in Digital Signal and Image Processing

Blind identification consists of estimating a multi-dimensional system only through the use of its output, and source separation, the blind estimation of the inverse of the system. Estimation is generally carried out using different statistics of the output.

The authors of this book consider the blind identification and source separation problem in the complex-domain, where the available statisti...

# MRI Techniques

The rapid developments in magnetic resonance imaging (MRI) over the past 20 years have affirmed its supremacy over most other means of non-invasive exploration of the human body. This progress has had other consequences for imaging physicists: having knowledge about only one of the sides of MRI is nowadays no longer enough to develop new sequences or even to learn more about those that already exi...

# Multi-factor Models and Signal Processing Techniques

## Application to Quantitative Finance

With recent outbreaks of multiple large-scale financial crises, amplified by interconnected risk sources, a new paradigm of fund management has emerged. This new paradigm leverages “embedded” quantitative processes and methods to provide more transparent, adaptive, reliable and easily implemented “risk assessment-based” practices.

This book surveys the most widely used factor models employed wit...

# Proportionate-type Normalized Least Mean Square Algorithms

## FOCUS Series in Digital Signal and Image Processing

The topic of this book is proportionate-type normalized least mean square (PtNLMS) adaptive filtering algorithms, which attempt to estimate an unknown impulse response by adaptively giving gains proportionate to an estimate of the impulse response and the current measured error. These algorithms offer low computational complexity and fast convergence times for sparse impulse responses in network a...

# Signal and Image Multiresolution Analysis

Multiresolution analysis using the wavelet transform has received considerable attention in recent years by researchers in various fields. It is a powerful tool for efficiently representing signals and images at multiple levels of detail with many inherent advantages, including compression, level-of-detail display, progressive transmission, level-of-detail editing, filtering, modeling, fractals an...

# Signal and Image Processing for Biometrics

The aim of this book is to deal with biometrics in terms of signal and image processing methods and algorithms. This will help engineers and students working in digital signal and image processing deal with the implementation of such specific algorithms. It discusses numerous signal and image processing techniques that are very often used in biometric applications. In particular, algorithms relate...

# Digital Color Imaging

This collective work identifies the latest developments in the field of the automatic processing and analysis of digital color images. For researchers and students, it represents a critical state of the art on the scientific issues raised by the various steps constituting the chain of color image processing. It covers a wide range of topics related to computational color imaging, including color f...

# Digital Color

## Acquisition, Perception, Coding and Rendering

In this book the authors identify the basic concepts and recent advances in the acquisition, perception, coding and rendering of color. The fundamental aspects related to the science of colorimetry in relation to physiology (the human visual system) are addressed, as are constancy and color appearance. It also addresses the more technical aspects related to sensors and the color management screen....

# Photon-based Medical Imagery

The importance of medical imaging for diagnostics is strongly increasing. It is now necessary to have a good knowledge of the different physical principles possible.

This book describes the physical principles and technologies used in medical imaging in detail, and advanced devices are introduced (semiconducting detectors, optical tomography systems, etc.). Reconstruction methods and detection te...

# Digital Spectral Analysis

## Parametric, Non-parametric and Advanced Methods

Digital Spectral Analysis provides a single source that offers complete coverage of the spectral analysis domain. This self-contained work includes details on advanced topics that are usually presented in scattered sources throughout the literature.

The theoretical principles necessary for the understanding of spectral analysis are discussed in the first four chapters: fundamentals, digital s...

# Tools for Signal Compression

In everyday life, we often come into contact with compressed signals: when using mobile telephones, MP3 players, digital cameras, or DVD players we are using devices that capture, send, and manipulate digital, compressed versions of much larger and more complex – often analog – amounts of data that represent the original sound, image, or video. Compression is the process by which the huge amount...

# Mathematical Morphology

## from theories to applications

Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, and finds applications in fields including digital image processing (DSP), as well as areas for graphs, surface meshes, solids, and other spatial structures. T...

# Inverse Problems in Vision and 3D Tomography

The concept of an inverse problem is a familiar one to most scientists and engineers, particularly in the field of signal and image processing, imaging systems (medical, geophysical, industrial non-destructive testing, etc.) and computer vision. In imaging systems, the aim is not just to estimate unobserved images, but also their geometric characteristics from observed quantities that are linked t...

# Discrete Stochastic Processes and Optimal Filtering

## Second Edition

Optimal filtering applied to stationary and non-stationary signals provides the most efficient means of dealing with problems arising from the extraction of noise signals. Moreover, it is a fundamental feature in a range of applications, such as in navigation in aerospace and aeronautics, filter processing in the telecommunications industry, etc. This book provides a comprehensive overview of this...

# Multivariate image processing

Multivariate imagery is now a very common tool in numerous applications, ranging from satellite remote sensing and astrophysics to biomedical imagery, monitoring of the environment or industrial inspection. Multivariate must be understood in th emost general way: color and multispectral imaging, but also multimodal, multisource or multitemporal imagery. In all the cases, the multivariate image co...

# Data Analysis

The first part of this book is devoted to methods seeking relevant dimensions of the data. The variables thus obtained provide a synthetic description which often results in a graphical representation of the data.

After a general presentation of the discriminating analysis, the second part is devoted to clustering methods which constitute another method, often complementary to the methods describ...

# Optimization in Signal and Image Processing

This book describes some of the optimization methods most commonly encountered in signal and image processing: artificial evolution and Parisian approach; wavelets and fractals; information criteria; training and quadratic programming; Bayesian formalism; probabilistic modeling; Markovian approach; hidden Markov models; and metaheuristics (genetic algorithms, ant colony algorithms, cross-entropy, ...

# Tomography

The principle of tomography is to explore the structure and composition of objects non-destructively along spatial and temporal dimensions, using penetrating radiation, such as X- and gamma-rays, or waves, such as electromagnetic and acoustic waves. Based on computer-assisted image reconstruction, tomography provides maps of parameters that characterize the emission of the employed radiation or wa...

# Visual Perception Through Video Imagery

For several decades researchers have tried to construct perception systems based on the registration data from video cameras. This work has produced various tools that have made possible recent advances in this area. Part one of this book deals with the problem of the calibration and auto-calibration of video captures. Part two is essentially concerned with the estimation of the relative object/ca...

# Scaling, Fractals and Wavelets

This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling are introduced: self-similarity, long-range dependence and multi-fractals. These models are compared and related one to the other. Second, they introduce fractional integration, a mathematical tool closely related to the notion of scale invariance. Al...

# Time–Frequency Analysis

## Concepts and Methods

Time-frequency analysis brings together some rather diverse concepts and tools with the aim of reconciling the temporal analysis and spectral analysis of signals in a single joint representation. This is an appropriate framework for the analysis and processing of various types of non-stationary signals, such as those of physiological origin, radar and sonar signals, acoustic signals, astrophysical...

# Image Processing

Computer-aided automatic processing of images requires the control of a series of operations, which this book analyzes. Knowing the statistical properties of images, sampling them to reduce the observable world to a series of discrete values, restoring images in order to correct degradations – all these operations are explained here, together with the mathematical tools they require. Topics covere...

# Processing of Synthetic Aperture Radar Images

Synthetic aperture radar provides broad-area imaging at high resolutions, which can be used in applications such as environmental monitoring, earth-resource mapping and military systems.

This book presents the tools required for the digital processing of synthetic aperture radar images, which fall into three categories:

(a) theoretical/physical fundamentals;

(b) mathematical models;

(c) image...

# Compression of Biomedical Images and Signals

During the last decade, image and signal compression for storage and transmission purpose has seen tremendous expansion. But what about medical data compression? Should a medical image or a physiological signal be processed and compressed in the same way as any other data? The progress made in imaging systems, storage systems and telemedicine makes compression in this field particularly interestin...

# Two-dimensional Signal Analysis

This title sets out to show that 2-D signal analysis has its own role to play alongside signal processing and image processing. Concentrating its coverage on 2-D signals coming from physical sensors (such as radars and sonars), the text explores a 2-D spectral approach but develops the modeling of 2-D signals and proposes several data-oriented analysis techniques for dealing with them. Coverage is...

# Modeling, Estimation and Optimal Filtering in Signal Processing

This book provides the reader for the first time with a comprehensive collection of the significant results obtained to date in the field of parametric signal modeling and presents a number of new approaches.

It begins by introducing discrete-time linear models such as AR, MA and ARMA models, their properties and their limitations, before addressing sinusoidal models. Estimation approaches based...

# Bayesian Approach to Inverse Problems

The goal of this book is to deal with inverse problems and regularized solutions using Bayesian statistical tools, with a particular view to signal and image estimation.

Chapters 1-3 cover the theoretical notions that make it possible to cast inverse problems within a mathematical framework. Chapters 4-6 address the fundamental inverse problem of deconvolution in a comprehensive manner. Chapters ...

# Digital Signal Processing Using Matlab®

This book uses MATLAB® as a computing tool to explore traditional DSP topics and solve problems. This greatly expands the range and complexity of problems that can effectively be studied in signal processing. A large number of worked examples, computer simulations and applications are provided, along with theoretical aspects that are essential in order to gain a good understanding of the main topi...

# Information Fusion in Signal and Image Processing

The area of information fusion has grown considerably during the last few years, leading to a rapid and impressive evolution. In such fast-moving times, it is important to take stock of the changes that have occurred. This book offers an overview of the general principles and specifics of information fusion in signal and image processing, as well as covering the main numerical methods (probabilist...

# Wavelets and their Applications

The last fifteen years have seen an explosion of interest in wavelets with applications in fields such as image compression, turbulence, human vision, radar and earthquake prediction. Wavelets represent an area that combines signal in image processing, mathematics, physics and electrical engineering. As such, this title is intended for the wide audience that is interested in mastering the basic te...

# Channel Coding in Communication Networks

## From Theory to Turbocodes

This book provides a comprehensive overview of the subject of channel coding. It starts with a description of information theory, focusing on the quantitative measurement of information and introducing two fundamental theorems on source and channel coding. The basics of channel coding in two chapters, block codes and convolutional codes, are then discussed, and for these the authors introduce weig...

# Digital Filters Design for Signal and Image Processing

Dealing with digital filtering methods for 1-D and 2-D signals, this book provides the theoretical background in signal processing: z-transform, Shannon sampling theorem and fast Fourier transform. An entire chapter is devoted to the design of time-continuous filters which provides a useful preliminary step for the analog-to-digital filter conversion. Digital Filters Design for Signal and Image Pr...

# Digital Signal and Image Processing using MATLAB®

This title provides the most important theoretical aspects of Image and Signal Processing (ISP) for both deterministic and random signals. The theory is supported by exercises and computer simulations relating to real applications. More than 200 programs and functions are provided in the MATLAB® language, with useful comments and guidance, to enable numerical experiments to be carried out, thus al...

# Spectral Analysis

## Parametric and Non-Parametric Digital Methods

In signal processing, the concepts of frequency, which are usually referred to as “spectral” concepts, are omnipresent. The transition from analog methods to the use of digital tools in spectral analysis was first achieved by simple adaptation of the classical analog tools which had previously been used for a long time. However, beyond the simple quest for methods with better frequency resolution,...

# Wavelet Denoising

## Application in Medical Imaging

The advent of digital imaging technologies such as MRI has revolutionized modern medicine. With the wide-spread use of digital imaging in medicine today, the quality of digial medical images becomes an important issue. To achieve the best possible diagnoses it is important that medical images be sharp, clear, and free of noise. While the technologies for acquiring digital medical images continue t...