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The derivation of moment invariants has been extensively investigated in the past decades. In this paper, we construct a set of invariants derived from Zernike moments which is simultaneously invariant to similarity transformation and to convolution with circularly symmetric point spread function (PSF). Two main contributions are provided: the theoretical framework for deriving the Zernike moments...
Moments and moment invariants are useful tool in pattern recognition and image analysis. Conventional methods to deal with color images are based on RGB decomposition or graying. In this paper, by using the theory of quaternions, we introduce a set of quaternion Zernike moments (QZMs) for color images in a holistic manner. It is shown that the QZMs can be obtained via the conventional Zernike moments...
The completeness property of the invariant descriptors, which is of fundamental importance from the theoretical as well as the practical points of views, has been investigated by several research groups. In this paper, we propose a new approach to derive a complete set of pseudo-Zernike moment invariants. We first establish a relationship between the pseudo-Zernike moments of the original image and...
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