On Image Analysis by the Methods of Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Chinese Character Recognition via Gegenbauer Moments
ICPR '02 Proceedings of the 16 th International Conference on Pattern Recognition (ICPR'02) Volume 3 - Volume 3
An Efficient Method for the Computation of Legendre Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Exact Legendre moment computation for gray level images
Pattern Recognition
Fast and accurate method for radial moment's computation
Pattern Recognition Letters
Fast computation of accurate Gaussian-Hermite moments for image processing applications
Digital Signal Processing
A novel gray image representation using overlapping rectangular NAM and extended shading approach
Journal of Visual Communication and Image Representation
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Image representation by using polynomial moments is an interesting theme. In this paper, image representation by using orthogonal Gegenbauer function is presented. A novel method for accurate and fast computation of orthogonal Gegenbauer moments is proposed. The accurate values of Gegenbauer moments are obtained by mathematically integrating Gegenbauer polynomials multiplied by their weight functions over the digital image pixels. A novel recurrence formula is derived for the kernel generation. The proposed method removes the numerical approximation errors involved in conventional method. A fast algorithm is proposed to accelerate the moment's computations. A comparison with the conventional method is performed. The obtained results explain the efficiency and the superiority of the proposed method.