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Directional time-frequency analysis ...

Sansing, Christopher.

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Directional time-frequency analysis with applications.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Directional time-frequency analysis with applications./
Author:	Sansing, Christopher.
Description:	156 p.
Notes:	Adviser: Loukas Grafakos.
Contained By:	Dissertation Abstracts International67-11B.
Subject:	Engineering, Biomedical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3242761
ISBN:	9780542981814

Directional time-frequency analysis with applications.
Sansing, Christopher.

Directional time-frequency analysis with applications. - 156 p.

Adviser: Loukas Grafakos.

Thesis (Ph.D.)--University of Missouri - Columbia, 2006.

The purpose of this dissertation is to introduce a new directionally-sensitive time-frequency representation of a function. It is shown that we may break up a function (or signal) into individual time-frequency-direction pieces. A certain coefficient (&lang;&fnof;,Gm,t,u&rang;) will allow one to see "how much" frequency is in the function (i.e. signal, image, etc.) in a certain time interval, and also in a certain direction. This has been done using wavelets (ridgelets) and this dissertation introduces a similar concept using time-frequency (Gabor) elements. For such elements, a Parseval formula and a continous frame-type representation together with boundedness properties of a semi-discrete frame operator are obtained. New spaces of functions are also presented which are tailored to fit our time-frequency-direction analysis. Applications relating to image processing and medical imaging are also presented along with development of some algorithms.

ISBN: 9780542981814Subjects--Topical Terms:

1017684
Engineering, Biomedical.

Directional time-frequency analysis with applications.
LDR:01851nam 2200289 a 45 001 968891
005 20110920
008 110921s2006 eng d
020 $a 9780542981814
035 $a (UnM)AAI3242761
035 $a AAI3242761
040 $a UnM $c UnM
100 1 $a Sansing, Christopher. $3 1292946
245 1 0 $a Directional time-frequency analysis with applications.
300 $a 156 p.
500 $a Adviser: Loukas Grafakos.
500 $a Source: Dissertation Abstracts International, Volume: 67-11, Section: B, page: 6442.
502 $a Thesis (Ph.D.)--University of Missouri - Columbia, 2006.
520 $a The purpose of this dissertation is to introduce a new directionally-sensitive time-frequency representation of a function. It is shown that we may break up a function (or signal) into individual time-frequency-direction pieces. A certain coefficient (&lang;&fnof;,Gm,t,u&rang;) will allow one to see "how much" frequency is in the function (i.e. signal, image, etc.) in a certain time interval, and also in a certain direction. This has been done using wavelets (ridgelets) and this dissertation introduces a similar concept using time-frequency (Gabor) elements. For such elements, a Parseval formula and a continous frame-type representation together with boundedness properties of a semi-discrete frame operator are obtained. New spaces of functions are also presented which are tailored to fit our time-frequency-direction analysis. Applications relating to image processing and medical imaging are also presented along with development of some algorithms.
590 $a School code: 0133.
650 4 $a Engineering, Biomedical. $3 1017684
650 4 $a Health Sciences, Radiology. $3 1019076
650 4 $a Mathematics. $3 515831
690 $a 0405
690 $a 0541
690 $a 0574
710 2 0 $a University of Missouri - Columbia. $3 1017522
773 0 $t Dissertation Abstracts International $g 67-11B.
790 $a 0133
790 1 0 $a Grafakos, Loukas, $e advisor
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3242761