Exact and fast inversion of the approximate discrete Radon transform from partial data

Donsub Rim

doi:10.1016/j.aml.2019.106159

Exact and fast inversion of the approximate discrete Radon transform from partial data

Donsub Rim

Department of Mathematics

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

5 Scopus citations

Abstract

We give an exact inversion formula for the approximate discrete Radon transform introduced in Brady (1998) that is of cost O(NlogN) for a square 2D image with N pixels and requires only partial data.

Original language	English
Article number	106159
Journal	Applied Mathematics Letters
Volume	102
DOIs	https://doi.org/10.1016/j.aml.2019.106159
State	Published - Apr 2020

Keywords

Approximate discrete radon transform
Exact inverse
Fast transforms

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10.1016/j.aml.2019.106159

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title = "Exact and fast inversion of the approximate discrete Radon transform from partial data",

abstract = "We give an exact inversion formula for the approximate discrete Radon transform introduced in Brady (1998) that is of cost O(NlogN) for a square 2D image with N pixels and requires only partial data.",

keywords = "Approximate discrete radon transform, Exact inverse, Fast transforms",

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year = "2020",

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doi = "10.1016/j.aml.2019.106159",

language = "English",

volume = "102",

journal = "Applied Mathematics Letters",

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AB - We give an exact inversion formula for the approximate discrete Radon transform introduced in Brady (1998) that is of cost O(NlogN) for a square 2D image with N pixels and requires only partial data.

KW - Approximate discrete radon transform

KW - Exact inverse

KW - Fast transforms

UR - https://www.scopus.com/pages/publications/85075877600

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DO - 10.1016/j.aml.2019.106159

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VL - 102

JO - Applied Mathematics Letters

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M1 - 106159

ER -

Exact and fast inversion of the approximate discrete Radon transform from partial data

Abstract

Keywords

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