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
Hypercomplex spectral transformations
Hypercomplex spectral transformations
Degraded Image Analysis: An Invariant Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Feature Detection with Automatic Scale Selection
International Journal of Computer Vision
2-D DOA estimation method using Zernike moments
Signal Processing
Moment invariants for recognition under changing viewpoint and illumination
Computer Vision and Image Understanding - Special issue on color for image indexing and retrieval
The Amsterdam Library of Object Images
International Journal of Computer Vision
Review article: Aircraft recognition in infrared image using wavelet moment invariants
Image and Vision Computing
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
Estimation of motions in color image sequences using hypercomplex fourier transforms
IEEE Transactions on Image Processing
Local quaternion Fourier transform and color image texture analysis
Signal Processing
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
Color Image Analysis by Quaternion Zernike Moments
ICPR '10 Proceedings of the 2010 20th International Conference on Pattern Recognition
Hypercomplex Fourier Transforms of Color Images
IEEE Transactions on Image Processing
Invariant image watermark using Zernike moments
IEEE Transactions on Circuits and Systems for Video Technology
Full 4-D quaternion discrete Fourier transform based watermarking for color images
Digital Signal Processing
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Moments and moment invariants have become a powerful tool in pattern recognition and image analysis. Conventional methods to deal with color images are based on RGB decomposition or graying, which may lose some significant color information. In this paper, by using the algebra of quaternions, we introduce the quaternion Zernike moments (QZMs) to deal with the color images in a holistic manner. It is shown that the QZMs can be obtained from the conventional Zernike moments of each channel. We also provide the theoretical framework to construct a set of combined invariants with respect to rotation, scaling and translation (RST) transformation. Experimental results are provided to illustrate the efficiency of the proposed descriptors.