Computation of Hahn Moments for Large Size Images

Abstract

Problem statement: Direct formulas used for Hahn moments computation available in the literature are not applicable for large size images. This is due to the need for calculation of factorial of large values as well as numerical instability in the calculation of polynomial values. This study presents a method to correct these errors. Approach: In this research, recursive formulas for weight function, squared norm and weighted Hahn polynomials that were used for Hahn moments computation were derived. Results: Simulation results were reported for image reconstruction and the quality of reconstructed image was assessed by using universal image quality index. Conclusion: This study presented a procedure for calculation of Hahn moments for any size images using the recursive formulas. From the simulation results, it was observed that the derived recursive formulas work well for any size images.