On the connection between the Zernike moments and Radon transform of an image

Ned C. Rouze, Victor C. Soon, Gary Hutchins

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We describe a simple and direct method to calculate the Zernike moments of an image from its Radon transform using a polynomial transform in the position coordinate and a Fourier transform in the angular coordinate. The transform allows the estimation of image moments from measured sinogram data without the need for matrix inversion or the intermediate step of image reconstruction. The transform is invertible and, thereby, gives insight into the connection between image moments and tomographic image reconstruction. It also suggests an alternative method for the efficient computation of Zernike moments of an image.

Original languageEnglish
Pages (from-to)636-642
Number of pages7
JournalPattern Recognition Letters
Volume27
Issue number6
DOIs
StatePublished - Apr 15 2006

Fingerprint

Radon
Image reconstruction
Fourier transforms
Polynomials

Keywords

  • Image reconstruction
  • Radon transform
  • Zernike moments

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

On the connection between the Zernike moments and Radon transform of an image. / Rouze, Ned C.; Soon, Victor C.; Hutchins, Gary.

In: Pattern Recognition Letters, Vol. 27, No. 6, 15.04.2006, p. 636-642.

Research output: Contribution to journalArticle

@article{294fd730c7bb47e29fbdb71d557ec613,
title = "On the connection between the Zernike moments and Radon transform of an image",
abstract = "We describe a simple and direct method to calculate the Zernike moments of an image from its Radon transform using a polynomial transform in the position coordinate and a Fourier transform in the angular coordinate. The transform allows the estimation of image moments from measured sinogram data without the need for matrix inversion or the intermediate step of image reconstruction. The transform is invertible and, thereby, gives insight into the connection between image moments and tomographic image reconstruction. It also suggests an alternative method for the efficient computation of Zernike moments of an image.",
keywords = "Image reconstruction, Radon transform, Zernike moments",
author = "Rouze, {Ned C.} and Soon, {Victor C.} and Gary Hutchins",
year = "2006",
month = "4",
day = "15",
doi = "10.1016/j.patrec.2005.10.001",
language = "English",
volume = "27",
pages = "636--642",
journal = "Pattern Recognition Letters",
issn = "0167-8655",
publisher = "Elsevier",
number = "6",

}

TY - JOUR

T1 - On the connection between the Zernike moments and Radon transform of an image

AU - Rouze, Ned C.

AU - Soon, Victor C.

AU - Hutchins, Gary

PY - 2006/4/15

Y1 - 2006/4/15

N2 - We describe a simple and direct method to calculate the Zernike moments of an image from its Radon transform using a polynomial transform in the position coordinate and a Fourier transform in the angular coordinate. The transform allows the estimation of image moments from measured sinogram data without the need for matrix inversion or the intermediate step of image reconstruction. The transform is invertible and, thereby, gives insight into the connection between image moments and tomographic image reconstruction. It also suggests an alternative method for the efficient computation of Zernike moments of an image.

AB - We describe a simple and direct method to calculate the Zernike moments of an image from its Radon transform using a polynomial transform in the position coordinate and a Fourier transform in the angular coordinate. The transform allows the estimation of image moments from measured sinogram data without the need for matrix inversion or the intermediate step of image reconstruction. The transform is invertible and, thereby, gives insight into the connection between image moments and tomographic image reconstruction. It also suggests an alternative method for the efficient computation of Zernike moments of an image.

KW - Image reconstruction

KW - Radon transform

KW - Zernike moments

UR - http://www.scopus.com/inward/record.url?scp=32844472354&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=32844472354&partnerID=8YFLogxK

U2 - 10.1016/j.patrec.2005.10.001

DO - 10.1016/j.patrec.2005.10.001

M3 - Article

VL - 27

SP - 636

EP - 642

JO - Pattern Recognition Letters

JF - Pattern Recognition Letters

SN - 0167-8655

IS - 6

ER -