25 May 2005 New methods of image enhancement
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In this paper, applications of the tensor and paired representations of an image are presented for image enhancement. The proposed methods are based on the fact that the 2-D image can be represented by a set of 1-D "independent" signals that split the 2-D discrete Fourier transform (DFT) of the image into different groups of frequencies. Each splitting-signal carries information of the spectrum in a specific group. Rather than enhance the image by traditional methods of the Fourier transform (or other transforms), splitting-signals can be processed separately and the 2-D DFT of the processed image can be defined by 1-D DFTs of new splitting-signals. The process of splitting-signals related to the paired representation is very effective, because of no redundancy of spectral information carrying by ifferent splitting-signals. The effectiveness of such approach is illustrated through processing the image by the a-rooting method of enhancement. Images can be enhanced by processing only a few splitting-signals, to achieve enhancement that in many cases exceeds the enhancement by the α-rooting method and other known methods. The selection of such splitting-signals is described.
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Fatma T. Arslan, Joann M. Moreno, Artyom M. Grigoryan, "New methods of image enhancement", Proc. SPIE 5817, Visual Information Processing XIV, (25 May 2005); doi: 10.1117/12.603022; https://doi.org/10.1117/12.603022

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