0565460 20230418205243.920221214235959.9 85129655037 000795507300001 10.1109/ACCESS.2022.3170893 14 s. P cav_un_epca*04610362169-3536101 (2022)48719-48732Institute of Electrical and Electronics Engineers Hahn polynomials Hahn moments propagation error numerical error cav_un_auth*0428249 Mahmmod B. M. IQ cav_un_auth*0428248 Abdulhussain S. H. IQ cav_un_auth*0101203 Suk Tomáš UTIA-B Zpracování obrazové informace Department of Image Processing ZOI ZOI Department of Image Processing Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0442693 Hussain A. GB K http://library.utia.cas.cz/separaty/2022/ZOI/suk-0565460.pdf https://ieeexplore.ieee.org/document/9764684 GA21-03921S GA ČR cav_un_auth*0412209 StrategieAV21/1 AV ČR CZ cav_un_auth*0441412 Discrete Hahn polynomials (DHPs) and their moments are considered to be one of the efficient orthogonal moments and they are applied in various scientific areas such as image processing and feature extraction. Commonly, DHPs are used as object representation, however, they suffer from the problem of numerical instability when the moment order becomes large. In this paper, an operative method to compute the Hahn orthogonal basis is proposed and applied to high orders. This paper developed a new mathematical model for computing the initial value of the DHP and for different values of DHP parameters (alpha and beta). In addition, the proposed method is composed of two recurrence algorithms with an adaptive threshold to stabilize the generation of the DHP coefficients. It is compared with state-of-the-art algorithms in terms of computational cost and the maximum size that can be correctly generated. The experimental results show that the proposed algorithm performs better in both parameters for wide ranges of parameter values alpha and beta, and polynomial sizes. WOS IN 20000 20200 20201 2023 4 RVO:67985556 https://hdl.handle.net/11104/0337913 S 1* Article Computer Science Information Systems|Engineering Electrical Electronic|Telecommunications A COMPUTERSCIENCE.INFORMATIONSYSTEMS|ENGINEERING.ELECTRICAL&ELECTRONIC|TELECOMMUNICATIONS 4.1 0.7 2.9 0.32756 0.685 239575 0.926 3.600 9547 Q2 57.3 Q3 Q2 0.89 Q2 63.8 2022 85129655037 SCOPUS PUBMED 000795507300001 WOS cav_un_epca*0461036 IEEE Access 2169-3536 2169-3536 Roč. 10 č. 1 2022 48719 48732 Institute of Electrical and Electronics Engineers