Research Article Open Access

Computation of Hahn Moments for Large Size Images

A. Venkataramana1 and P. Ananth Raj2
  • 1 ,
  • 2 , Afganistan
Journal of Computer Science
Volume 6 No. 9, 2010, 1037-1041

DOI: https://doi.org/10.3844/jcssp.2010.1037.1041

Submitted On: 29 March 2010 Published On: 30 September 2010

How to Cite: Venkataramana, A. & Raj, P. A. (2010). Computation of Hahn Moments for Large Size Images. Journal of Computer Science, 6(9), 1037-1041. https://doi.org/10.3844/jcssp.2010.1037.1041

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.

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Keywords

  • Weighted Hahn polynomials
  • Hahn moments
  • recursive formula