Mellin polar coordinate moment and its affine invariance
作者：
Highlights：
• Affine invariants constructed by traditional integer order moment are sensitive to noise. To construct invariants with lower (non-integer) order moment, we generalize the order of moment from integer to non-integer, and propose the Mellin polar coordinate moment (MPCM).
• Method is provided for constructing affine invariants by any order MPCM.
• Invariants constructed by lower real order MPCMs are more robust to noise than invariants constructed by traditional moments.
摘要
•Affine invariants constructed by traditional integer order moment are sensitive to noise. To construct invariants with lower (non-integer) order moment, we generalize the order of moment from integer to non-integer, and propose the Mellin polar coordinate moment (MPCM).•Method is provided for constructing affine invariants by any order MPCM.•Invariants constructed by lower real order MPCMs are more robust to noise than invariants constructed by traditional moments.
论文关键词：Mellin polar coordinate moment,Mellin transform,Repeated integral,Affine moment invariants,Affine transform
论文评审过程：Received 5 November 2017, Revised 18 July 2018, Accepted 31 July 2018, Available online 10 August 2018, Version of Record 10 August 2018.
论文官网地址：https://doi.org/10.1016/j.patcog.2018.07.036
