On computational aspects of high-order dual Hahn moments

作者：

Highlights：

• Introduction of two new algorithms for accelerating and stabilizing the computation of dual Hahn polynomials for high orders.

• A stable computation of the initial values of dual Hahn polynomials is proposed.

• Introduction of stability conditions to preserve the numerical stability of high-order dual Hahn polynomials.

• Demonstrate the efficiency of the introduced algorithms when reconstructing large-size images and signals.

摘要

•Introduction of two new algorithms for accelerating and stabilizing the computation of dual Hahn polynomials for high orders.•A stable computation of the initial values of dual Hahn polynomials is proposed.•Introduction of stability conditions to preserve the numerical stability of high-order dual Hahn polynomials.•Demonstrate the efficiency of the introduced algorithms when reconstructing large-size images and signals.

论文关键词：High-order dual Hahn polynomials,Orthogonal moments,Numerical stability,Signal and image reconstruction,High-order moments

论文评审过程：Received 16 May 2020, Revised 28 November 2021, Accepted 17 February 2022, Available online 18 February 2022, Version of Record 25 February 2022.

论文官网地址：https://doi.org/10.1016/j.patcog.2022.108596