Previous optical implementations of the two-dimensional fractional Fourier transform have assumed identical transform orders in both dimensions. We let the orders in the two orthogonal dimensions to be different and present general design formulae for optically implementing such transforms. This design formulae allows us to specify the two orders and the input, output scale parameters simultane...

The fast development of digital image processing leads to the growth of feature extraction of images which leads to the development of Image fusion. Image fusion is defined as the process of combining two or more different images into a new single image retaining important features from each image with extended information content. There are two approaches to image fusion, namely Spatial Fusion...

The method of Borel transformation for the summation asymptotic expansions with power-law behavior at infinity is combined elements scale-invariant fractional analysis goal calculating critical amplitudes. order specially designed derivatives u used as a control parameter to be defined uniquely from u-optimization. For resummation transformed expansions, we employed self-similar iterated roots....