Fractional-order quaternion exponential moments for color images

作者:

Highlights:

• The properties of fractional-order and integer-order radial basis functions are analyzed and compared in depth.

• FrEMs are constructed on the basis of fractional-order radial basis functions.

• FrQEMs are constructed based on the quaternion theory.

• The experimental results show that FrQEMs have great performance.

• A novel kind of fractional-order radial basis functions is constructed.

摘要

•The properties of fractional-order and integer-order radial basis functions are analyzed and compared in depth.•FrEMs are constructed on the basis of fractional-order radial basis functions.•FrQEMs are constructed based on the quaternion theory.•The experimental results show that FrQEMs have great performance.•A novel kind of fractional-order radial basis functions is constructed.

论文关键词:Fractional order,Exponential moments,Orthogonal moments,Quaternion,Rotational invariance,Color object recognition

论文评审过程:Received 30 July 2020, Revised 8 December 2020, Accepted 1 February 2021, Available online 12 February 2021, Version of Record 12 February 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126061