Image analysis by generalized Chebyshev–Fourier and generalized pseudo-Jacobi–Fourier moments
作者：
Highlights：
• Paper presents two generalized radial polynomials that are orthogonal over the unit circle.
• Paper constructs two new generalized descriptors using the scaled radial polynomials.
• Two recursive strategies for the computation of proposed radial polynomials are presented.
• The proposed polynomials are related to Jacobi, shift Jacobi polynomials and hypergeometric functions.
• The distribution of zeroes of the proposed polynomials can be controlled by free parameter α.
摘要
Highlights•Paper presents two generalized radial polynomials that are orthogonal over the unit circle.•Paper constructs two new generalized descriptors using the scaled radial polynomials.•Two recursive strategies for the computation of proposed radial polynomials are presented.•The proposed polynomials are related to Jacobi, shift Jacobi polynomials and hypergeometric functions.•The distribution of zeroes of the proposed polynomials can be controlled by free parameter α.
论文关键词：Generalized radial polynomial,Jacobi polynomial,Recurrence relation,Rotation invariant,Chebyshev–Fourier moment,Pseudo Jacobi–Fourier moment
论文评审过程：Received 6 December 2014, Revised 8 July 2015, Accepted 8 September 2015, Available online 30 September 2015, Version of Record 27 November 2015.
论文官网地址：https://doi.org/10.1016/j.patcog.2015.09.018
