Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 208402, 9 pages
Research Article

Nonlinear Radon Transform Using Zernike Moment for Shape Analysis

1School of Information and Technology, Northwest University, Xi'an 710120, China
2School of Information and Computing Sciences, North University for Nationalities, Yinchuan 750021, China
3College of Computing & Communication Engineering, Graduate University of Chinese Academy of Sciences, Beijing 100049, China
4College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou 310023, China

Received 18 January 2013; Accepted 22 March 2013

Academic Editor: Carlo Cattani

Copyright © 2013 Ziping Ma et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We extend the linear Radon transform to a nonlinear space and propose a method by applying the nonlinear Radon transform to Zernike moments to extract shape descriptors. These descriptors are obtained by computing Zernike moment on the radial and angular coordinates of the pattern image's nonlinear Radon matrix. Theoretical and experimental results validate the effectiveness and the robustness of the method. The experimental results show the performance of the proposed method in the case of nonlinear space equals or outperforms that in the case of linear Radon.