Mhamed Sayyouri

TL;DR: A new method is proposed for the rapid calculation of Meixner’s discrete orthogonal moments and its inverses using the notion of digital filters based on the Z transform to accelerate the computation time of Mexner and to reduce the reconstruction error of the images.

TL;DR: A novel approach to accelerate the processing of 3D images by the discrete orthogonal moments of Charlier by decomposing the image by cuboids of small sizes to ensure numerical stability and to speed up the computation time of the moments.

TL;DR: A new method of fast and stable calculation of the discrete orthogonal moments of Charlier and their inverses with digital filters based on the Z-transform to accelerate the computation time and improve the quality of images reconstruction.

TL;DR: A new algorithm for accelerating the computation time of Charlier discrete orthogonal moments for three-dimensional (3D) images, based on a new representation of 3D images called image cuboid representation (ICR), in which the 3D image is decomposed into a set of cuboids of the same gray level instead of voxels.

TL;DR: A recursive method based on Clenshaw’s recurrence formula that can be implemented to transform kernels of Meixner moments and its inverse for fast computation and Experimental results show that the proposed method performs better than the existing methods in terms of computation speed and the effectiveness of image reconstruction capability in both noise-free and noisy conditions.