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Signal and Image Synthesis: Alternating Projections Onto Convex Sets

Robert J Marks II

in Handbook of Fourier Analysis & Its Applications

Published in print:
2009
Published Online:
November 2020
ISBN:
9780195335927
eISBN:
9780197562567
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195335927.003.0016
Subject:
Computer Science, Mathematical Theory of Computation

Alternating projections onto convex sets (POCS) [319, 918, 1324, 1333] is a powerful tool for signal and image restoration and synthesis. The desirable properties of a ... More


Applications

Robert J Marks II

in Handbook of Fourier Analysis & Its Applications

Published in print:
2009
Published Online:
November 2020
ISBN:
9780195335927
eISBN:
9780197562567
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195335927.003.0018
Subject:
Computer Science, Mathematical Theory of Computation

Fourier discovered the Fourier series as a solution to a boundary value problem [33, 303, 512, 620] related to the heat wave equation. Fourier’s work on heat is still ... More


Introduction

Robert J Marks II

in Title Pages

Published in print:
2009
Published Online:
November 2020
ISBN:
9780195335927
eISBN:
9780197562567
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195335927.003.0006
Subject:
Computer Science, Mathematical Theory of Computation

Jean Baptiste Joseph Fourier’s powerful idea of decomposition of a signal into sinusoidal components has found application in almost every engineering and science ... More


Fourier Analysis in Systems Theory

Robert J Marks II

in Handbook of Fourier Analysis & Its Applications

Published in print:
2009
Published Online:
November 2020
ISBN:
9780195335927
eISBN:
9780197562567
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195335927.003.0008
Subject:
Computer Science, Mathematical Theory of Computation

In the most general sense, any process wherein a stimulus generates a corresponding response can be dubbed a system. For a temporal system with single input, f (t), ... More


A Practical Guide for MEG and Beamforming

Anthony T. Herdman and Douglas Cheyne

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/9780262013086.003.0005
Subject:
Neuroscience, Techniques

This chapter discusses the techniques for recording and analyzing magnetoencephalography (MEG) data and new approaches to MEG source localization based on beamforming. It addresses the general ... More


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