Jump to ContentJump to Main Navigation

You are looking at 1-20 of 28 items

  • Keywords: inverse problem x
Clear All Modify Search

View:

The Factorization Method for Inverse Problems

Andreas Kirsch and Natalia Grinberg

Published in print:
2007
Published Online:
September 2008
ISBN:
9780199213535
eISBN:
9780191707629
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213535.001.0001
Subject:
Mathematics, Applied Mathematics

This book is devoted to problems of shape identification in the context of (inverse) scattering problems and problems of impedance tomography. In contrast to traditional methods which are based on ... More


INTRODUCTION

Moody T. Chu and Gene H. Golub

in Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566649
eISBN:
9780191718021
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566649.003.0001
Subject:
Mathematics, Applied Mathematics

This chapter introduces the underlying difference between a forward problem and an inverse problem. Fundamental issues such as solvability, computability, sensitivity, and feasibility are raised. ... More


Numerical Methods for Image Registration

Jan Modersitzki

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198528418
eISBN:
9780191713583
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528418.001.0001
Subject:
Mathematics, Applied Mathematics

This text provides an introduction to the theoretical, practical, and numerical aspects of image registration, with special emphasis on medical imaging. Given a so-called reference and template ... More


APPLICATIONS

Moody T. Chu and Gene H. Golub

in Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566649
eISBN:
9780191718021
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566649.003.0002
Subject:
Mathematics, Applied Mathematics

Inverse eigenvalue problems arise in a remarkable variety of applications. This chapter briefly highlights a few applications. The discussion is divided into six categories of applications: feedback ... More


The MUSIC algorithm and scattering by an inhomogeneous medium

Andreas Kirsch and Natalia Grinberg

in The Factorization Method for Inverse Problems

Published in print:
2007
Published Online:
September 2008
ISBN:
9780199213535
eISBN:
9780191707629
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213535.003.0004
Subject:
Mathematics, Applied Mathematics

This chapter examines the case of a penetrable scatterer with an index of refraction that can be space-dependent and is assumed to be different from the constant background index. The inverse ... More


Alternative sampling and probe methods

Andreas Kirsch and Natalia Grinberg

in The Factorization Method for Inverse Problems

Published in print:
2007
Published Online:
September 2008
ISBN:
9780199213535
eISBN:
9780191707629
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213535.003.0007
Subject:
Mathematics, Applied Mathematics

The Factorization Method is not the only sampling method. This final chapter introduces three alternative methods which belong to this class but, in contrast to the Factorization Method, are based on ... More


MEG: An Introduction to Methods

Peter Hansen, Morten Kringelbach, and Riitta Salmelin (eds)

Published in print:
2010
Published Online:
September 2010
ISBN:
9780195307238
eISBN:
9780199863990
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195307238.001.0001
Subject:
Neuroscience, Behavioral Neuroscience, Techniques

Magnetoencephalography (MEG) is an exciting brain imaging technology that allows real-time tracking of neural activity, making it an invaluable tool for advancing our understanding of brain function. ... More


Recording Strategies, Reference Issues, and Dipole Localization

Paul L. Nunez and Ramesh Srinivasan

in Electric Fields of the Brain: The neurophysics of EEG

Published in print:
2006
Published Online:
May 2009
ISBN:
9780195050387
eISBN:
9780199865673
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195050387.003.0007
Subject:
Neuroscience, Neuroendocrine and Autonomic, Techniques

Every EEG measurement depends on the locations of the recording and so-called reference electrode. The measured potential difference is a property of the path between electrode pairs. This applies to ... More


Inverse problems

Fox Colin, Haario Heikki, and Christen J Andrés

in Bayesian Theory and Applications

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199695607
eISBN:
9780191744167
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199695607.003.0031
Subject:
Mathematics, Probability / Statistics

This chapter discusses the features that are characteristic for the problems most typically treated under the umbrella of inverse problems. It begins by listing representative examples of inverse ... More


The Fundamental Theorem of Linear Algebra

Gidon Eshel

in Spatiotemporal Data Analysis

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691128917
eISBN:
9781400840632
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691128917.003.0010
Subject:
Environmental Science, Environmental Studies

This chapter summarizes pictorially some of the linear algebraic foundations discussed thus far by revisiting the fundamental theorem of linear algebra, the unifying view of matrices, vectors, and ... More


Volume Source and Volume Conductor

Jaakko Malmivuo

in Bioelectromagnetism: Principles and Applications of Bioelectric and Biomagnetic Fields

Published in print:
1995
Published Online:
March 2012
ISBN:
9780195058239
eISBN:
9780199847839
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195058239.003.0007
Subject:
Neuroscience, Techniques

This chapter characterizes the nature of bioelectric sources and conductors. It points out that in contrast to electronic circuits, in which the electric properties of the components are ... More


INTRODUCTION

Jan Modersitzki

in Numerical Methods for Image Registration

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198528418
eISBN:
9780191713583
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528418.003.0001
Subject:
Mathematics, Applied Mathematics

This chapter states the problem of image registration and presents various applications, including remote sensing and medical image registration. Three examples which serve as test cases throughout ... More


How the Stage Was Set When We Began

Zygmunt Pizlo, Yunfeng Li, Tadamasa Sawada, and Robert M. Steinman

in Making a Machine That Sees Like Us

Published in print:
2014
Published Online:
August 2014
ISBN:
9780199922543
eISBN:
9780190228385
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199922543.003.0001
Subject:
Psychology, Cognitive Neuroscience, Vision

A new, and very novel, analytical definition of shape is explained after a brief history of interest in automata since ancient times and a description of the book’s intent is presented. The new ... More


Noninvasive Estimation of Local Field Potentials: Methods and Applications

Rolando Grave de Peralta Menendez, Micah M. Murray, Gregor Thut, Theodor Landis, and Sara L. Gonzalez Andino

in Brain Signal Analysis: Advances in Neuroelectric and Neuromagnetic Methods

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262013086
eISBN:
9780262258876
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262013086.003.0003
Subject:
Neuroscience, Techniques

This chapter offers a novel method for estimating local field potentials (LFPs) via a newly developed solution for the neuroelectromagnetic inverse problem, and discusses an approach to construct ... More


Theoretical Methods for Analyzing Volume Sources and Volume Conductors

Jaakko Malmivuo

in Bioelectromagnetism: Principles and Applications of Bioelectric and Biomagnetic Fields

Published in print:
1995
Published Online:
March 2012
ISBN:
9780195058239
eISBN:
9780199847839
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195058239.003.0011
Subject:
Neuroscience, Techniques

This chapter presents theoretical methods, the first two of which (the solid angle theorem and the Miller-Geselowitz model) are used to evaluate the electric field in a volume conductor produced by ... More


Magnetoencephalography Source Estimation: Transforming the Sensor-Level Signals to Estimates of Brain Activity

Matti S. Hämäläinen

in Fifty Years of Magnetoencephalography: Beginnings, Technical Advances, and Applications

Published in print:
2020
Published Online:
August 2020
ISBN:
9780190935689
eISBN:
9780190935719
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190935689.003.0006
Subject:
Neuroscience, Techniques, History of Neuroscience

This chapter describes the source estimation approaches to magnetoencephalography (MEG) analysis. Both MEG and electroencephalography (EEG) are measures of ongoing neuronal activity, and are ... More


The Basis of ECG Diagnosis

Jaakko Malmivuo

in Bioelectromagnetism: Principles and Applications of Bioelectric and Biomagnetic Fields

Published in print:
1995
Published Online:
March 2012
ISBN:
9780195058239
eISBN:
9780199847839
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195058239.003.0019
Subject:
Neuroscience, Techniques

This chapter discusses the forward problem of ECG diagnosis. This leads to the solution of the inverse problem through the empirical approach. The empirical approach is acceptable in this case, ... More


The Need for and Road to Hybrid Magnetoencephalography–Magnetic Resonance Imaging

Risto J. Ilmoniemi

in Fifty Years of Magnetoencephalography: Beginnings, Technical Advances, and Applications

Published in print:
2020
Published Online:
August 2020
ISBN:
9780190935689
eISBN:
9780190935719
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190935689.003.0007
Subject:
Neuroscience, Techniques, History of Neuroscience

This chapter addresses the need for hybrid magnetoencephalography (MEG) and magnetic resonance imaging (MRI) systems. The importance of combining MEG with MRI was realized early. The most important ... More


A Complete Info-Metrics Framework

Amos Golan

in Foundations of Info-Metrics: Modeling, Inference, and Imperfect Information

Published in print:
2017
Published Online:
November 2017
ISBN:
9780199349524
eISBN:
9780199349555
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199349524.003.0009
Subject:
Economics and Finance, Econometrics

In this chapter I develop the complete info-metrics framework for inferring problems and theories under all types of uncertainty and missing information. That framework allows for uncertainty in the ... More


Data assimilation in glaciology

B. Bonan, M. Nodet, O. Ozenda, and C. Ritz

in Advanced Data Assimilation for Geosciences: Lecture Notes of the Les Houches School of Physics: Special Issue, June 2012

Published in print:
2014
Published Online:
March 2015
ISBN:
9780198723844
eISBN:
9780191791185
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198723844.003.0025
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

This chapter addresses an inverse problem in glaciology, namely how to infer a climatic scenario (i.e. how to reconstruct past polar temperature) from ice volume records. Ice volume observations are ... More


View: