The method of tensor representation of an image with respect to the Fourier transform and its application for image enhancement is described. The method is based on the fact that a two-dimensional (2D) image can be represented by a set of 1D signals that split the 2D Fourier transform of the image into different groups of frequencies. Each splitting-signal carries information of the spectrum in a specific group. The processing of the image is reduced to processing splitting-signals. The effectiveness of such an approach is illustrated through processing the image by the /spl alpha/-rooting method of enhancement. We propose to enhance the image by processing only one or a few splitting-signals, to achieve image enhancement which, in many cases, can exceed enhancement by the /spl alpha/-rooting method. The selection of such splitting-signals is described.
['Fatma T. Arslan', 'Artyom M. Grigoryan']
Method of image enhancement by splitting-signals