Fast computation of Charlier moments and its inverses using Clenshaw’s recurrence formula for image analysis

• DOI: 10.1007/s11042-018-6757-z
• Publication Date: 2018-10-17T01:24:20Z
• Authors: Tarik Jahid; Hicham Karmouni; Abdeslam Hmimid; Mhamed Sayyouri; Hassan Qjidaa
• Keywords: Robustness; Velocity Moments

In this paper, we propose a new fast way to compute both the image Charlier moments and its inverses using Clenshaw’s recurrence formula. Firstly, we present recursive polynomials of Charlier with respect to the order n and with respect to the variable x and then we define Clenshaw’s recurrence formula to improve the consuming time of the proposed algorithm. So, to show the robustness of the proposed method, a comparative study with the classical method is carried out. In fact, the results of the simulations carried out on binary and gray-scale images show the effectiveness of the proposed method in terms of the calculation time of Charlier moments and in terms of image reconstruction capacity with respect to Krawtchouk moments.