Invariant Image Recognition by Zernike Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern recognition with moment invariants: a comparative study and new results
Pattern Recognition
Practical fast computation of Zernike moments
Journal of Computer Science and Technology
Recursive computation of Tchebichef moment and its inverse transform
Pattern Recognition
Image analysis by discrete orthogonal Racah moments
Signal Processing
Image analysis by discrete orthogonal dual Hahn moments
Pattern Recognition Letters
Image Analysis Using Hahn Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
A unified methodology for the efficient computation of discrete orthogonal image moments
Information Sciences: an International Journal
Fast and numerically stable methods for the computation of Zernike moments
Pattern Recognition
Fast computation of tchebichef moments for binary and grayscale images
IEEE Transactions on Image Processing
Fast computation of exact Zernike moments using cascaded digital filters
Information Sciences: an International Journal
Fast computation of orthogonal Fourier---Mellin moments in polar coordinates
Journal of Real-Time Image Processing
Fast computation of accurate Gaussian-Hermite moments for image processing applications
Digital Signal Processing
Image analysis by Tchebichef moments
IEEE Transactions on Image Processing
Image analysis by Krawtchouk moments
IEEE Transactions on Image Processing
Some computational aspects of discrete orthonormal moments
IEEE Transactions on Image Processing
Real-time computation of Zernike moments
IEEE Transactions on Circuits and Systems for Video Technology
Fast Computation of Chebyshev Moments
IEEE Transactions on Circuits and Systems for Video Technology
Fast Moment Generating Architectures
IEEE Transactions on Circuits and Systems for Video Technology
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The outputs of cascaded digital filters operating as accumulators are combined with a simplified Tchebichef polynomials to form Tchebichef moments (TMs). In this paper, we derive a simplified recurrence relationship to compute Tchebichef polynomials based on Z-transform properties. This paves the way for the implementation of second order digital filter to accelerate the computation of the Tchebichef polynomials. Then, some aspects of digital filter design for image reconstruction from TMs are addressed. The new proposed digital filter structure for reconstruction is based on the 2D convolution between the digital filter outputs used in the computation of the TMs and the impulse response of the proposed digital filter. They operate as difference operators and accordingly act on the transformed image moment sets to reconstruct the original image. Experimental results show that both the proposed algorithms to compute TMs and inverse Tchebichef moments (ITMs) perform better than existing methods in term of computation speed.