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

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

Research output: Contribution to journalArticle

5 Scopus citations

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

Keywords

  • Image reconstruction
  • Radon transform
  • Zernike moments

ASJC Scopus subject areas

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

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