New Approaches in Spectral Decomposition

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Publisher : American Mathematical Soc.
ISBN 13 : 082185139X
Total Pages : 288 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis New Approaches in Spectral Decomposition by : Ridgley Lange

Download or read book New Approaches in Spectral Decomposition written by Ridgley Lange and published by American Mathematical Soc.. This book was released on 1992 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at a general mathematical audience, this book provides a careful exposition of developments in the theory of spectral decomposition. Bringing the reader from the basics up to the level of current research in the area at the time of writing, Lange and Wang present an accessible account of the techniques used in the theory and applications of decomposable operators and related classes of operators. The book begins with a discussion of criteria for decomposable and related types of operators, and an analysis that relates and distinguishes among them. Perturbation theory of decomposable and other operators, applications to classical Hilberty space operators, quasisimilarity, and a new class of weakly decomposable operators are also discussed. The book closes with an exposition of some classical theories on invariant subspaces for subdecomposable and hyponormal operators, and a presentation of the parallel spectral theory of commuting systems.

New Approaches for Multidimensional Signal Processing

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Publisher : Springer Nature
ISBN 13 : 9811978425
Total Pages : 287 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis New Approaches for Multidimensional Signal Processing by : Roumen Kountchev

Download or read book New Approaches for Multidimensional Signal Processing written by Roumen Kountchev and published by Springer Nature. This book was released on 2022-12-02 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers presented at the International Workshop on New Approaches for Multidimensional Signal Processing (NAMSP 2022), held at Technical University of Sofia, Sofia, Bulgaria, during 23–25 June 2022. The book covers research papers in the field of N-dimensional multicomponent image processing, multidimensional image representation and super-resolution, 3D image processing and reconstruction, MD computer vision systems, multidimensional multimedia systems, neural networks for MD image processing, data-based MD image retrieval and knowledge data mining, watermarking, hiding and encryption of MD images, MD image processing in robot systems, tensor-based data processing, 3D and multi-view visualization, forensic analysis systems for MD images and many more.

Spectral Algorithms

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Publisher : Now Publishers Inc
ISBN 13 : 1601982747
Total Pages : 153 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Spectral Algorithms by : Ravindran Kannan

Download or read book Spectral Algorithms written by Ravindran Kannan and published by Now Publishers Inc. This book was released on 2009 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral methods refer to the use of eigenvalues, eigenvectors, singular values and singular vectors. They are widely used in Engineering, Applied Mathematics and Statistics. More recently, spectral methods have found numerous applications in Computer Science to "discrete" as well as "continuous" problems. Spectral Algorithms describes modern applications of spectral methods, and novel algorithms for estimating spectral parameters. The first part of the book presents applications of spectral methods to problems from a variety of topics including combinatorial optimization, learning and clustering. The second part of the book is motivated by efficiency considerations. A feature of many modern applications is the massive amount of input data. While sophisticated algorithms for matrix computations have been developed over a century, a more recent development is algorithms based on "sampling on the fly" from massive matrices. Good estimates of singular values and low rank approximations of the whole matrix can be provably derived from a sample. The main emphasis in the second part of the book is to present these sampling methods with rigorous error bounds. It also presents recent extensions of spectral methods from matrices to tensors and their applications to some combinatorial optimization problems.

Singular Spectrum Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1475725140
Total Pages : 167 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Singular Spectrum Analysis by : J.B. Elsner

Download or read book Singular Spectrum Analysis written by J.B. Elsner and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term singular spectrum comes from the spectral (eigenvalue) decomposition of a matrix A into its set (spectrum) of eigenvalues. These eigenvalues, A, are the numbers that make the matrix A -AI singular. The term singular spectrum analysis· is unfortunate since the traditional eigenvalue decomposition involving multivariate data is also an analysis of the singular spectrum. More properly, singular spectrum analysis (SSA) should be called the analysis of time series using the singular spectrum. Spectral decomposition of matrices is fundamental to much the ory of linear algebra and it has many applications to problems in the natural and related sciences. Its widespread use as a tool for time series analysis is fairly recent, however, emerging to a large extent from applications of dynamical systems theory (sometimes called chaos theory). SSA was introduced into chaos theory by Fraedrich (1986) and Broomhead and King (l986a). Prior to this, SSA was used in biological oceanography by Colebrook (1978). In the digi tal signal processing community, the approach is also known as the Karhunen-Loeve (K-L) expansion (Pike et aI., 1984). Like other techniques based on spectral decomposition, SSA is attractive in that it holds a promise for a reduction in the dimen- • Singular spectrum analysis is sometimes called singular systems analysis or singular spectrum approach. vii viii Preface sionality. This reduction in dimensionality is often accompanied by a simpler explanation of the underlying physics.

Handbook of Time Series Analysis

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Publisher : John Wiley & Sons
ISBN 13 : 3527609512
Total Pages : 514 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Handbook of Time Series Analysis by : Björn Schelter

Download or read book Handbook of Time Series Analysis written by Björn Schelter and published by John Wiley & Sons. This book was released on 2006-12-13 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook provides an up-to-date survey of current research topics and applications of time series analysis methods written by leading experts in their fields. It covers recent developments in univariate as well as bivariate and multivariate time series analysis techniques ranging from physics' to life sciences' applications. Each chapter comprises both methodological aspects and applications to real world complex systems, such as the human brain or Earth's climate. Covering an exceptionally broad spectrum of topics, beginners, experts and practitioners who seek to understand the latest developments will profit from this handbook.

New Spectral Methods for Analysis of Source/filter Characteristics of Speech Signals

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Publisher : Presses univ. de Louvain
ISBN 13 : 2874630136
Total Pages : 125 pages
Book Rating : 4.8/5 (746 download)

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Book Synopsis New Spectral Methods for Analysis of Source/filter Characteristics of Speech Signals by : Baris Bozkurt

Download or read book New Spectral Methods for Analysis of Source/filter Characteristics of Speech Signals written by Baris Bozkurt and published by Presses univ. de Louvain. This book was released on 2006 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study proposes a new spectral representation called the Zeros of Z-Transform (ZZT), which is an all-zero representation of the z-transform of the signal. In addition, new chirp group delay processing techniques are developed for analysis of resonances of a signal. The combination of the ZZT representation with the chirp group delay processing algorithms provides a useful domain to study resonance characteristics of source and filter components of speech. Using the two representations, effective algorithms are developed for: source-tract decomposition of speech, glottal flow parameter estimation, formant tracking and feature extraction for speech recognition. The ZZT representation is mainly important for theoretical studies. Studying the ZZT of a signal is essential to be able to develop effective chirp group delay processing methods. Therefore, first the ZZT representation of the source-filter model of speech is studied for providing a theoretical background. We confirm through ZZT representation that anti-causality of the glottal flow signal introduces mixed-phase characteristics in speech signals. The ZZT of windowed speech signals is also studied since windowing cannot be avoided in practical signal processing algorithms and the effect of windowing on ZZT representation is drastic. We show that separate patterns exist in ZZT representations of windowed speech signals for the glottal flow and the vocal tract contributions. A decomposition method for source-tract separation is developed based on these patterns in ZZT. We define chirp group delay as group delay calculated on a circle other than the unit circle in z-plane. The need to compute group delay on a circle other than the unit circle comes from the fact that group delay spectra are often very noisy and cannot be easily processed for formant tracking purposes (the reasons are explained through ZZT representation). In this thesis, we propose methods to avoid such problems by modifying the ZZT of a signal and further computing the chirp group delay spectrum. New algorithms based on processing of the chirp group delay spectrum are developed for formant tracking and feature estimation for speech recognition. The proposed algorithms are compared to state-of-the-art techniques. Equivalent or higher efficiency is obtained for all proposed algorithms. The theoretical parts of the thesis further discuss a mixed-phase model for speech and phase processing problems in detail. Index Terms—spectral representation, source-filter separation, glottal flow estimation, formant tracking, zeros of z-transform, group delay processing, phase processing.

Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev

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Publisher : American Mathematical Soc.
ISBN 13 : 0821851381
Total Pages : 696 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev by : Leonid A. Bokut'

Download or read book Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev written by Leonid A. Bokut' and published by American Mathematical Soc.. This book was released on 1992 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral Decompositions and Analytic Sheaves

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Publisher : Oxford University Press
ISBN 13 : 9780198536673
Total Pages : 378 pages
Book Rating : 4.5/5 (366 download)

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Book Synopsis Spectral Decompositions and Analytic Sheaves by : Jörg Eschmeier

Download or read book Spectral Decompositions and Analytic Sheaves written by Jörg Eschmeier and published by Oxford University Press. This book was released on 1996 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rapid developments in multivariable spectral theory have led to important and fascinating results which also have applications in other mathematical disciplines. In this book, various concepts from function theory and complex analytic geometry are drawn together to give a new approach to concrete spectral computations and give insights into new developments in the spectral theory of linear operators. Classical results from cohomology theory of Banach algebras, multidimensional spectral theory, and complex analytic geometry have been freshly interpreted using the language of homological algebra. The advantages of this approach are illustrated by a variety of examples, unexpected applications, and conceptually new ideas that should stimulate further research among mathematicians.

A New Approach to the Identification of Eigenmodes of Large Structures

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Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A New Approach to the Identification of Eigenmodes of Large Structures by : Hong Li

Download or read book A New Approach to the Identification of Eigenmodes of Large Structures written by Hong Li and published by . This book was released on 2002 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis of Time Series Structure

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Publisher : CRC Press
ISBN 13 : 9781420035841
Total Pages : 322 pages
Book Rating : 4.0/5 (358 download)

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Book Synopsis Analysis of Time Series Structure by : Nina Golyandina

Download or read book Analysis of Time Series Structure written by Nina Golyandina and published by CRC Press. This book was released on 2001-01-23 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last 15 years, singular spectrum analysis (SSA) has proven very successful. It has already become a standard tool in climatic and meteorological time series analysis and well known in nonlinear physics and signal processing. However, despite the promise it holds for time series applications in other disciplines, SSA is not widely known among statisticians and econometrists, and although the basic SSA algorithm looks simple, understanding what it does and where its pitfalls lay is by no means simple. Analysis of Time Series Structure: SSA and Related Techniques provides a careful, lucid description of its general theory and methodology. Part I introduces the basic concepts, and sets forth the main findings and results, then presents a detailed treatment of the methodology. After introducing the basic SSA algorithm, the authors explore forecasting and apply SSA ideas to change-point detection algorithms. Part II is devoted to the theory of SSA. Here the authors formulate and prove the statements of Part I. They address the singular value decomposition (SVD) of real matrices, time series of finite rank, and SVD of trajectory matrices. Based on the authors' original work and filled with applications illustrated with real data sets, this book offers an outstanding opportunity to obtain a working knowledge of why, when, and how SSA works. It builds a strong foundation for successfully using the technique in applications ranging from mathematics and nonlinear physics to economics, biology, oceanology, social science, engineering, financial econometrics, and market research.

Oil and Gas Exploration

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Publisher : John Wiley & Sons
ISBN 13 : 1119227496
Total Pages : 303 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Oil and Gas Exploration by : Said Gaci

Download or read book Oil and Gas Exploration written by Said Gaci and published by John Wiley & Sons. This book was released on 2017-02-13 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oil and Gas Exploration: Methods and Application presents a summary of new results related to oil and gas prospecting that are useful for theoreticians and practical professionals. The study of oil and gas complexes and intrusions occurring in sedimentary basins is crucial for identifying the location of oil and gas fields and for making accurate predictions on oil findings. Volume highlights include: Advanced geophysical techniques for achieving hydrocarbon exploration efficiency from beneath the Earth Discussion of theoretical and practical approaches in solving problems related to exploring and mining new oil and gas deposits New geological concepts for predicting potential hydrocarbon targets Novel methods of control of the outworking of these deposits using different geophysical methods, significant for optimization of mining hydrocarbon and carbonate deposits Estimation of the degree of outworking of oil and gas deposits, to facilitate the use of space-time monitoring of different kinds of fields Analysis of exploration data by an efficient processing system, based on strong methods proven mathematically Oil and Gas Exploration is a valuable resource for exploration geophysicists, petroleum engineers, geoengineers, petrologists, mining engineers, and economic geologists, who will gain insights into exploring new methods involved in finding natural resources from our Earth. Read an interview with the editors to find out more: https://eos.org/editors-vox/where-and-how-can-we-find-new-sources-of-oil-and-gas

Advanced Intelligent Computing Theories and Applications - With Aspects of Theoretical and Methodological Issues

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Publisher : Springer
ISBN 13 : 3540741712
Total Pages : 1402 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Advanced Intelligent Computing Theories and Applications - With Aspects of Theoretical and Methodological Issues by : De-Shuang Huang

Download or read book Advanced Intelligent Computing Theories and Applications - With Aspects of Theoretical and Methodological Issues written by De-Shuang Huang and published by Springer. This book was released on 2007-07-31 with total page 1402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, in conjunction with the two volumes CICS 0002 and LNAI 4682, constitutes the refereed proceedings of the Third International Conference on Intelligent Computing held in Qingdao, China, in August 2007. The 139 full papers published here were carefully reviewed and selected from among 2,875 submissions. Collectively, these papers represent some of the most important findings and insights into the field of intelligent computing.

Domain Decomposition Methods in Scientific and Engineering Computing

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Publisher : American Mathematical Soc.
ISBN 13 : 0821851713
Total Pages : 578 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Domain Decomposition Methods in Scientific and Engineering Computing by : David E. Keyes

Download or read book Domain Decomposition Methods in Scientific and Engineering Computing written by David E. Keyes and published by American Mathematical Soc.. This book was released on 1994 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains proceedings from the Seventh International Conference on Domain Decomposition Methods, held at Pennsylvania State University in October 1993. The term ``domain decomposition'' has for nearly a decade been associated with the partly iterative, partly direct algorithms explored in the proceedings of this conference. Noteworthy trends in the current volume include progress in dealing with so-called ``bad parameters'' in elliptic partial differential equation problems, as well as developments in partial differential equations outside of the elliptically-dominated framework. Also described here are convergence and complexity results for novel discretizations, which bring with them new challenges in the derivation of appropriate operators for coarsened spaces. Implementations and architectural considerations are discussed, as well as partitioning tools and environments. In addition, the book describes a wide array of applications, from semiconductor device simulation to structural mechanics to aerodynamics. Presenting many of the latest results in the field, this book offers readers an up-to-date guide to the many facets of the theory and practice of domain decomposition.

The Focal Encyclopedia of Photography

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Publisher : Taylor & Francis
ISBN 13 : 1136106146
Total Pages : 880 pages
Book Rating : 4.1/5 (361 download)

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Book Synopsis The Focal Encyclopedia of Photography by : Michael R. Peres

Download or read book The Focal Encyclopedia of Photography written by Michael R. Peres and published by Taylor & Francis. This book was released on 2013-05-29 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: *Searchable CD ROM containing the entire book (including images) *Over 450 color images, plus never before published images provided by the George Eastman House collection, as well as images from Ansel Adams, Howard Schatz, and Jerry Uelsmann to name just a few The role and value of the picture cannot be matched for accuracy or impact. This comprehensive treatise, featuring the history and historical processes of photography, contemporary applications, and the new and evolving digital technologies, will provide the most accurate technical synopsis of the current, as well as early worlds of photography ever compiled. This Encyclopedia, produced by a team of world renown practicing experts, shares in highly detailed descriptions, the core concepts and facts relative to anything photographic. This Fourth edition of the Focal Encyclopedia serves as the definitive reference for students and practitioners of photography worldwide, expanding on the award winning 3rd edition. In addition to Michael Peres (Editor in Chief), the editors are: Franziska Frey (Digital Photography), J. Tomas Lopez (Contemporary Issues), David Malin (Photography in Science), Mark Osterman (Process Historian), Grant Romer (History and the Evolution of Photography), Nancy M. Stuart (Major Themes and Photographers of the 20th Century), and Scott Williams (Photographic Materials and Process Essentials)

Non-self-adjoint Schrödinger Operator with a Periodic Potential

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Publisher : Springer Nature
ISBN 13 : 3030726835
Total Pages : 301 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Non-self-adjoint Schrödinger Operator with a Periodic Potential by : Oktay Veliev

Download or read book Non-self-adjoint Schrödinger Operator with a Periodic Potential written by Oktay Veliev and published by Springer Nature. This book was released on 2021-06-19 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a complete spectral analysis of the non-self-adjoint Schrödinger operator with a periodic complex-valued potential. Building from the investigation of the spectrum and spectral singularities and construction of the spectral expansion for the non-self-adjoint Schrödinger operator, the book features a complete spectral analysis of the Mathieu-Schrödinger operator and the Schrödinger operator with a parity-time (PT)-symmetric periodic optical potential. There currently exists no general spectral theorem for non-self-adjoint operators; the approaches in this book thus open up new possibilities for spectral analysis of some of the most important operators used in non-Hermitian quantum mechanics and optics. Featuring detailed proofs and a comprehensive treatment of the subject matter, the book is ideally suited for graduate students at the intersection of physics and mathematics.

World Congress on Medical Physics and Biomedical Engineering September 7 - 12, 2009 Munich, Germany

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Publisher : Springer Science & Business Media
ISBN 13 : 3642038794
Total Pages : 976 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis World Congress on Medical Physics and Biomedical Engineering September 7 - 12, 2009 Munich, Germany by : Olaf Dössel

Download or read book World Congress on Medical Physics and Biomedical Engineering September 7 - 12, 2009 Munich, Germany written by Olaf Dössel and published by Springer Science & Business Media. This book was released on 2010-01-04 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: Present Your Research to the World! The World Congress 2009 on Medical Physics and Biomedical Engineering – the triennial scientific meeting of the IUPESM - is the world’s leading forum for presenting the results of current scientific work in health-related physics and technologies to an international audience. With more than 2,800 presentations it will be the biggest conference in the fields of Medical Physics and Biomedical Engineering in 2009! Medical physics, biomedical engineering and bioengineering have been driving forces of innovation and progress in medicine and healthcare over the past two decades. As new key technologies arise with significant potential to open new options in diagnostics and therapeutics, it is a multidisciplinary task to evaluate their benefit for medicine and healthcare with respect to the quality of performance and therapeutic output. Covering key aspects such as information and communication technologies, micro- and nanosystems, optics and biotechnology, the congress will serve as an inter- and multidisciplinary platform that brings together people from basic research, R&D, industry and medical application to discuss these issues. As a major event for science, medicine and technology the congress provides a comprehensive overview and in–depth, first-hand information on new developments, advanced technologies and current and future applications. With this Final Program we would like to give you an overview of the dimension of the congress and invite you to join us in Munich! Olaf Dössel Congress President Wolfgang C.

Resolving Spectral Mixtures

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Publisher : Elsevier
ISBN 13 : 0444636447
Total Pages : 676 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Resolving Spectral Mixtures by :

Download or read book Resolving Spectral Mixtures written by and published by Elsevier. This book was released on 2016-08-13 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Resolving Spectral Mixtures: With Applications from Ultrafast Time-Resolved Spectroscopy to Superresolution Imaging offers a comprehensive look into the most important models and frameworks essential to resolving the spectral unmixing problem—from multivariate curve resolution and multi-way analysis to Bayesian positive source separation and nonlinear unmixing. Unravelling total spectral data into the contributions from individual unknown components with limited prior information is a complex problem that has attracted continuous interest for almost four decades. Spectral unmixing is a topic of interest in statistics, chemometrics, signal processing, and image analysis. For decades, researchers from these fields were often unaware of the work in other disciplines due to their different scientific and technical backgrounds and interest in different objects or samples. This led to the development of quite different approaches to solving the same problem. This multi-authored book will bridge the gap between disciplines with contributions from a number of well-known and strongly active chemometric and signal processing research groups. Among chemists, multivariate curve resolution methods are preferred to extract information about the nature, amount, and location in time (process) and space (imaging and microscopy) of chemical constituents in complex samples. In signal processing, assumptions are usually around statistical independence of the extracted components. However, the chapters include the complexity of the spectral data to be unmixed as well as dimensionality and size of the data sets. Advanced spectroscopy is the key thread linking the different chapters. Applications cover a large part of the electromagnetic spectrum. Time-resolution ranges from femtosecond to second in process spectroscopy and spatial resolution covers the submicronic to macroscopic scale in hyperspectral imaging. Demonstrates how and why data analysis, signal processing, and chemometrics are essential to the spectral unmixing problem Guides the reader through the fundamentals and details of the different methods Presents extensive plots, graphical representations, and illustrations to help readers understand the features of different techniques and to interpret results Bridges the gap between disciplines with contributions from a number of well-known and highly active chemometric and signal processing research groups