Title
Mellin polar coordinate moment and its affine invariance.
Abstract
•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.
Year
DOI
Venue
2019
10.1016/j.patcog.2018.07.036
Pattern Recognition
Keywords
Field
DocType
Mellin polar coordinate moment,Mellin transform,Repeated integral,Affine moment invariants,Affine transform
Affine invariance,Affine transformation,Integer,Pattern recognition,Shearing (physics),Pure mathematics,Polar coordinate system,Affine invariant,Invariant (mathematics),Artificial intelligence,Mathematics
Journal
Volume
Issue
ISSN
85
1
0031-3203
Citations 
PageRank 
References 
2
0.36
29
Authors
3
Name
Order
Citations
PageRank
Jianwei Yang15812.73
Liang Zhang246492.08
Yuan Yan Tang32662209.20