On Image Analysis by the Methods of Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Invariant Image Recognition by Zernike Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust Rotation Angle Estimator
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Amsterdam Library of Object Images
International Journal of Computer Vision
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Improving Zernike Moments Comparison for Optimal Similarity and Rotation Angle Retrieval
IEEE Transactions on Pattern Analysis and Machine Intelligence
Affine Moment Invariants of Color Images
CAIP '09 Proceedings of the 13th International Conference on Computer Analysis of Images and Patterns
Complex Zernike moments features for shape-based image retrieval
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans - Special section: Best papers from the 2007 biometrics: Theory, applications, and systems (BTAS 07) conference
Estimation of motions in color image sequences using hypercomplex fourier transforms
IEEE Transactions on Image Processing
Image analysis by Bessel-Fourier moments
Pattern Recognition
A zernike moment phase-based descriptor for local image representation and matching
IEEE Transactions on Image Processing
Quaternion Fourier-Mellin moments for color images
Pattern Recognition
Hypercomplex Fourier Transforms of Color Images
IEEE Transactions on Image Processing
Coherent Multiscale Image Processing Using Dual-Tree Quaternion Wavelets
IEEE Transactions on Image Processing
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In this paper, the quaternion Bessel-Fourier moments are introduced. The significance of phase information in quaternion Bessel-Fourier moments is investigated and an accurate estimation method for rotation angle is described. Furthermore, a new set of invariant descriptors based on the magnitude and the phase information of quaternion Bessel-Fourier moments is derived. Experimental results show that quaternion Bessel-Fourier moments lead to better performance for color image reconstruction than the other quaternion orthogonal moments such as quaternion Zernike moments, quaternion pseudo-Zernike moments and quaternion orthogonal Fourier-Mellin moments. In addition, the angles estimated by the proposed moments are more accurate than those obtained by using other quaternion orthogonal moments. The proposed invariant descriptors show also better robustness to geometric and photometric transformations.