Review of compressed sensing in imaging : algorithms and applications

Compressed sensing is a fast growing field in signal and image processing. If x is a given vector which can either be an image or a signal about which we have a prior knowledge that it is sparse in either of the basis, then this signal x can be reconstructed from much lesser measurements than the nu...

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Bibliographic Details
Main Author: Raviselvam Sujithra
Other Authors: Liu Quan
Format: Theses and Dissertations
Language:English
Published: 2013
Subjects:
Online Access:http://hdl.handle.net/10356/54336
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Institution: Nanyang Technological University
Language: English
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Summary:Compressed sensing is a fast growing field in signal and image processing. If x is a given vector which can either be an image or a signal about which we have a prior knowledge that it is sparse in either of the basis, then this signal x can be reconstructed from much lesser measurements than the number of measurements which usually is considered to be necessary to give proper reconstruction. This can be done by using a measurements or sensing matrix of order m x n which is independently and identically distributed (IID) for which m<<n. This paper will review compressed sensing technique, steps involved in it and multiple algorithms that can be used to implement those steps and also representative applications of compressed sensing.