A survey of moment-based techniques for unoccluded object representation and recognition
CVGIP: Graphical Models and Image Processing
An all adder systolic structure for fast computation of moments
Journal of VLSI Signal Processing Systems
Real-time computation of two-dimensional moments on binary images using image block representation
IEEE Transactions on Image Processing
Image analysis by Krawtchouk moments
IEEE Transactions on Image Processing
Exact Legendre moment computation for gray level images
Pattern Recognition
Modelling fingerprint ridge orientation using Legendre polynomials
Pattern Recognition
Accurate and speedy computation of image Legendre moments for computer vision applications
Image and Vision Computing
Refined translation and scale Legendre moment invariants
Pattern Recognition Letters
Image analysis by Bessel-Fourier moments
Pattern Recognition
Fast computation of tchebichef moments for binary and grayscale images
IEEE Transactions on Image Processing
Comparison of shape descriptors for mice behavior recognition
CIARP'10 Proceedings of the 15th Iberoamerican congress conference on Progress in pattern recognition, image analysis, computer vision, and applications
Subject-dependent biosignal features for increased accuracy in psychological stress detection
International Journal of Human-Computer Studies
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Legendre orthogonal moments have been widely used in the field of image analysis. Because their computation by a direct method is very time expensive, recent efforts have been devoted to the reduction of computational complexity. Nevertheless, the existing algorithms are mainly focused on binary images. We propose here a new fast method for computing the Legendre moments, which is not only suitable for binary images but also for grey level images. We first establish a recurrence formula of one-dimensional (1D) Legendre moments by using the recursive property of Legendre polynomials. As a result, the 1D Legendre moments of order p, L"p=L"p(0), can be expressed as a linear combination of L"p"-"1(1) and L"p"-"2(0). Based on this relationship, the 1D Legendre moments L"p(0) can thus be obtained from the arrays of L"1(a) and L"0(a), where a is an integer number less than p. To further decrease the computation complexity, an algorithm, in which no multiplication is required, is used to compute these quantities. The method is then extended to the calculation of the two-dimensional Legendre moments L"p"q. We show that the proposed method is more efficient than the direct method.