Abstract
Problem statement: Orthogonal circular moments of gray level images such as Zernike, pseudo Zernike and Fourier-Mellin moments are widely used in different applications of image processing, pattern recognition and computer vision. Computational processes of these moments and their translation and scale invariants still an open area of research. Approach: a unified methodology is presented for efficient and accurate computation of orthogonal circular moment invariants. The orthogonal circular moments and their translation and scale invariants are expressed as a linear combination of radial moments of the same order in polar coordinates, where the later moments are accurately computed over a unit disk. A new mapping method is proposed where the unit disk is divided into non-overlapped circular rings; each of these circular rings is divided into a number of circular sectors of the same area. Each circular sector is represented by one point in its centre. The total number of input Cartesian image pixels is equal to the number of mapped circular pixels. Results: The implementation of this method completely removes both approximation and geometrical errors produced by the conventional methods. Numerical experiments are conducted to prove the validity and efficiency of the proposed method. Conclusion: A unified methodology is presented for efficient and accurate computation of orthogonal circular moment invariants.
Highlights
The variety of these methods motivates us to propose a unified efficient method for accurateOrthogonal circular moments of gray level images such as Zernike, pseudo Zenike and Fourier-Mellin are used to represent images with minimum amount of information redundancy
This study proposes a new unified method for efficient and highly accurate computation of orthogonal circular moments for binary and gray-level images
Pseudo Zernike and Fourier-Mellin moments and their translation and scale invariants could be represented as a linear combination of radial moments of the same order or less
Summary
The variety of these methods motivates us to propose a unified efficient method for accurate. Orthogonal circular moments of gray level images such as Zernike, pseudo Zenike and Fourier-Mellin are used to represent images with minimum amount of information redundancy. See for examples (Abandah and Anssari, 2009, Radhika et al, 2010, Ismail et al, 2010) Despite of this fact, the conventional approach for computing these circular moments and their invariants encounter two major problems. Computation of orthogonal circular moments of binary as well as gray level images. This study proposes a new unified method for efficient and highly accurate computation of orthogonal circular moments for binary and gray-level images. The proposed method is extended to accurately compute both translation and scale moment invariants. The rest of the study is organized as follows: An overview of the orthogonal circular moments of images is presented. Defined as follows Chong et al, 2003c):
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
