On Image Analysis by the Methods of Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image registration by control points pairing using the invariant properties of line segments
Pattern Recognition Letters
Degraded Image Analysis: An Invariant Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer Vision and Image Understanding
A Frequency Domain Technique for Range Data Registration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Virtual circles: a new set of features for fast image registration
Pattern Recognition Letters
Image reconstruction from a complete set of similarity invariants extracted from complex moments
Pattern Recognition Letters
Image analysis by discrete orthogonal Racah moments
Signal Processing
Fast Zernike wavelet moments for Farsi character recognition
Image and Vision Computing
Image analysis by discrete orthogonal dual Hahn moments
Pattern Recognition Letters
Pattern Recognition
IEEE Transactions on Signal Processing
Fast Complexified Quaternion Fourier Transform
IEEE Transactions on Signal Processing
Recognitive Aspects of Moment Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
An FFT-based technique for translation, rotation, and scale-invariant image registration
IEEE Transactions on Image Processing
Hypercomplex Fourier Transforms of Color Images
IEEE Transactions on Image Processing
Color Fourier-Mellin descriptors for image recognition
Pattern Recognition Letters
New feature extraction approach for bank note classification using Quaternion Wavelets
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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The quaternion Fourier-Mellin moments for describing color images are introduced, which can be seen as the generalization of traditional Fourier-Mellin moments for gray-level images. Then, the quaternion Fourier-Mellin moment invariants are derived, which could be a useful tool in color object recognition tasks that require the similarity invariance. In addition, the problem of color image registration using quaternion Fourier-Mellin moments is discussed. The registration method can match color images differing in rotation and scaling. The advantage of our method is that it can process color image directly, without losing color information. Experimental results validate the effectiveness of the method we proposed.