CONVERGENCE AND SPEED OF THE SINC BASIS MOMENT METHOD.

T. J. Cavicchi; W. D. O'Brien

doi:10.1109/ultsym.1987.199091

CONVERGENCE AND SPEED OF THE SINC BASIS MOMENT METHOD.

Research output: Contribution to journal › Conference article › peer-review

Abstract

A method for applying the fast Fourier transform to the convolutions arising in the internal field equations of the sinc-basis moment-method diffraction-tomography algorithm is described. Exactly equivalent results are obtained, while reducing the order of those computations from n**5 to n**3 log n for an n multiplied by n reconstruction.

Original language	English (US)
Pages (from-to)	907-910
Number of pages	4
Journal	Ultrasonics Symposium Proceedings
DOIs	https://doi.org/10.1109/ultsym.1987.199091
State	Published - 1987

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General Engineering

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10.1109/ultsym.1987.199091

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title = "CONVERGENCE AND SPEED OF THE SINC BASIS MOMENT METHOD.",

abstract = "A method for applying the fast Fourier transform to the convolutions arising in the internal field equations of the sinc-basis moment-method diffraction-tomography algorithm is described. Exactly equivalent results are obtained, while reducing the order of those computations from n**5 to n**3 log n for an n multiplied by n reconstruction.",

author = "Cavicchi, {T. J.} and O'Brien, {W. D.}",

year = "1987",

doi = "10.1109/ultsym.1987.199091",

language = "English (US)",

pages = "907--910",

journal = "Ultrasonics Symposium Proceedings",

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AU - Cavicchi, T. J.

AU - O'Brien, W. D.

PY - 1987

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N2 - A method for applying the fast Fourier transform to the convolutions arising in the internal field equations of the sinc-basis moment-method diffraction-tomography algorithm is described. Exactly equivalent results are obtained, while reducing the order of those computations from n**5 to n**3 log n for an n multiplied by n reconstruction.

AB - A method for applying the fast Fourier transform to the convolutions arising in the internal field equations of the sinc-basis moment-method diffraction-tomography algorithm is described. Exactly equivalent results are obtained, while reducing the order of those computations from n**5 to n**3 log n for an n multiplied by n reconstruction.

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U2 - 10.1109/ultsym.1987.199091

DO - 10.1109/ultsym.1987.199091

M3 - Conference article

AN - SCOPUS:0023538556

SN - 0090-5607

SP - 907

EP - 910

JO - Ultrasonics Symposium Proceedings

JF - Ultrasonics Symposium Proceedings

ER -

CONVERGENCE AND SPEED OF THE SINC BASIS MOMENT METHOD.

Abstract

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