Paper Info
Title
Image Description With Polar Harmonic Fourier Moments
Abstract
AbstractDue to their good rotational invariance and stability, image continuous orthogonal moments are intensively applied in rotationally invariant recognition and image processing. However, most moments produce numerical instability, which impacts the image reconstruction and recognition performance. In this paper, a new set of invariant continuous orthogonal moments, polar harmonic Fourier moments (PHFMs), free of numerical instability is designed. The radial basis functions (RBFs) of the PHFMs are much simpler than those of the Chebyshev-Fourier moments (CHFMs), orthogonal Fourier-Mellin moments (OFMMs), Zernike moments (ZMs), and pseudo-Zernike moments (PZMs). For the same degree, the RBFs of the PHFMs have more zeros and are more evenly distributed than those of the ZMs and PZMs. Therefore, PHFMs do not suffer from information suppression problem; hence, the image description ability of the PHFMs is superior to that of the ZMs and PZMs. Moreover, the RBFs of the PHFMs are always less than or equal to 1.0 near the unit disk center, whereas those of the OFMMs, PZMs, CHFMs, and radial harmonic Fourier moments (RHFMs) are infinite (implying numerical instability). This indicates that PHFMs can outperform these moments in image reconstruction tasks. We theoretically and experimentally demonstrate that PHFMs outperform the above moments in reconstructing images and recognizing rotationally invariant objects considering noise and various attacks. This paper also details the significance of the PHFM phase in image reconstruction, angle estimation using PHFMs, and the accurate moment selection of the PHFMs.
Year
DOI
Venue
2020
10.1109/TCSVT.2019.2960507
Periodicals
Keywords
DocType
Volume
Image reconstruction, Harmonic analysis, Object recognition, Image recognition, Kernel, Market research, Continuous orthogonal moments, polar harmonic Fourier moments, object recognition, image reconstruction
Journal
30
Issue
ISSN
Citations 
12
1051-8215
8
PageRank 
References 
Authors
0.42
17
5
Name
Order
Citations
PageRank
Chun-peng Wang19314.43
Xingyuan Wang213414.40
Zhiqiu Xia3285.03
Bin Ma411528.36
Yun Q. Shi52918199.53