Research Cell: An International Journal of Engineering Sciences

Ajay Prashar ¹, Harinder Kaur ¹, Rahul Upneja ¹

Affiliations
1 Sri Guru Granth Sahib World University, Fatehgarh Sahib, Punjab, IN

Abstract

Various radial moments i.e. Zernike moments, Pseudo-Zernike moments, Orthogonal Fourier Mellin moments, Chebyshev Harmonic moments, Radial Harmonic Fourier moments and Polar Harmonic Transforms such as polar complex exponential transforms, polar cosine transforms and polar sine transforms satisfy the condition of orthogonality. Therefore these moments and transforms possess minimum information redundancy and having good characteristic of image representation. In this paper we discuss about the various orthogonal radial moments, transforms and their applications in image processing.

Keywords

Radial Moments, Zernike Moments, Pseudo-Zernike Moments, Orthogonal Fourier Mellin Moments, Radial Harmonic Fourier Moments, Chebyshev's Harmonic Fourier Moments, Polar Harmonic Transforms, Orthogonal Moments.

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Rahul Upneja ¹, Ali Mohammed Sahan ²

Affiliations
1 Sri Guru Granth Sahib World University, Fatehgarh Sahib, IN
2 Department of Information Technology, Meddle Technical University, Baghdad, IQ

Abstract

Various radial moments and polar harmonic transforms such as polar complex exponential transforms, polar cosine transforms and polar sine transforms satisfy orthogonal principle. By virtue of which these moments and transforms possess minimum information redundancy and thereby exhibit a good characteristic of image representation. In this paper, a complete comparative analysis is performed by considering image reconstruction capability of each individual moment and transform. The orthogonal properties of above mentioned moments along with the causes of their reconstruction error, numerical stability and invariance are described.

Keywords

Zernike Moments, Pseudo Zernike Moments, Orthogonal Fourier Mellin Moments, Radial Harmonic Fourier Moments, Chebyshev-Fourier Moments, Polar Harmonic Transforms.

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