An application of wavelets in tomography

Murk Bottema; Bill Moran; Sofia Suvorova

doi:10.1006/dspr.1998.0326

An application of wavelets in tomography

Murk Bottema
, Bill Moran
, Sofia Suvorova

College of Science and Engineering

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

A method of tomographic inversion using wavelets is described which relies on the "diagonalization" property of wavelets for the derivative of the Hilber transform. Error bounds are given for reconstruction using the technique and an optimal wavelet which minimizes the error is presented. The method is well suited for inversion of from local data.

Original language	English
Pages (from-to)	244-254
Number of pages	11
Journal	Digital Signal Processing: A Review Journal
Volume	8
Issue number	4
DOIs	https://doi.org/10.1006/dspr.1998.0326
Publication status	Published - Oct 1998

Keywords

Local inversion
Radon transform
Tomography
Wavelets

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10.1006/dspr.1998.0326Licence: In Copyright

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author = "Murk Bottema and Bill Moran and Sofia Suvorova",

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AU - Bottema, Murk

AU - Moran, Bill

AU - Suvorova, Sofia

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AB - A method of tomographic inversion using wavelets is described which relies on the "diagonalization" property of wavelets for the derivative of the Hilber transform. Error bounds are given for reconstruction using the technique and an optimal wavelet which minimizes the error is presented. The method is well suited for inversion of from local data.

KW - Local inversion

KW - Radon transform

KW - Tomography

KW - Wavelets

UR - https://www.scopus.com/pages/publications/0032178338

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DO - 10.1006/dspr.1998.0326

M3 - Article

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EP - 254

JO - Digital Signal Processing: A Review Journal

JF - Digital Signal Processing: A Review Journal

IS - 4

ER -

An application of wavelets in tomography

Abstract

Keywords

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