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

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

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 wit...

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Bibliographic Details
Published in:Pattern recognition letters Vol. 27; no. 6; pp. 636 - 642
Main Authors: Rouze, Ned C., Soon, Victor C., Hutchins, Gary D.
Format: Journal Article
Language:English
Published: Elsevier B.V 15-04-2006
Subjects:
Image reconstruction
Radon transform
Zernike moments
87.57.Gg
87.57.Nk
Zernike moments
Radon transform
87.57.−s
87.59.Fm
Image reconstruction
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Description
Summary: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.
ISSN:0167-8655
1872-7344
DOI:10.1016/j.patrec.2005.10.001