On Image Analysis by the Methods of Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Degraded Image Analysis: An Invariant Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Estimation of motion parameters from blurred images
Pattern Recognition Letters
Moment Forms Invariant to Rotation and Blur in Arbitrary Number of Dimensions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Recognition Letters
Recognition of the blurred image by complex moment invariants
Pattern Recognition Letters
Image reconstruction from limited range projections using orthogonal moments
Pattern Recognition
Recognition of blurred images by the method of moments
IEEE Transactions on Image Processing
Blind Deconvolution Using a Variational Approach to Parameter, Image, and Blur Estimation
IEEE Transactions on Image Processing
Space-Variant Restoration of Images Degraded by Camera Motion Blur
IEEE Transactions on Image Processing
Blur invariants: A novel representation in the wavelet domain
Pattern Recognition
Wavelet domain blur invariants for 1D discrete signals
ICIAR'11 Proceedings of the 8th international conference on Image analysis and recognition - Volume Part I
Pseudo-Zernike moment invariants to blur degradation and their use in image recognition
IScIDE'12 Proceedings of the third Sino-foreign-interchange conference on Intelligent Science and Intelligent Data Engineering
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Processing blurred images is a key problem in many image applications. Existing methods to obtain blur invariants which are invariant with respect to centrally symmetric blur are based on geometric moments or complex moments. In this paper, we propose a new method to construct a set of blur invariants using the orthogonal Legendre moments. Some important properties of Legendre moments for the blurred image are presented and proved. The performance of the proposed descriptors is evaluated with various point-spread functions and different image noises. The comparison of the present approach with previous methods in terms of pattern recognition accuracy is also provided. The experimental results show that the proposed descriptors are more robust to noise and have better discriminative power than the methods based on geometric or complex moments.