12 May 2006 Paired directional transform-based methods of image enhancement
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In this paper, an effective realization of the α-rooting method of image enhancement by splitting-signals is proposed. The splitting-signals completely determine the image and split its spectrum by disjoint subsets of frequencies. Image enhancement is reduced to processing separate splitting-signals. We focus on processing only one specified splitting-signal, to achieve effective image enhancement that in many cases exceeds the enhancement by known a-rooting and wavelet methods. An effective realization of enhancement of image (N × N) is achieved by using one coefficient, instead of N/2 such coefficients for splitting-signals in the split α-rooting and N × N in traditional α-rooting. The proposed method does not require Fourier transforms, its realization is performed with N multiplications. The processing of the splitting-signal leads to the change of the image along the parallel lines by N different values, which leads to the concept of directional images and their application in enhancing the image along directions. A novel method of combining paired transform (pre-step of SMEME (spectral spatial maximum exclusive mean) filter) by wavelet transforms is proposed. While denoising directional clutters, the most corrupted splitting-signal is estimated and found, depending on the angle of long-waves.
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Fatma T. Arslan, Joann M. Moreno, Artyom M. Grigoryan, "Paired directional transform-based methods of image enhancement", Proc. SPIE 6246, Visual Information Processing XV, 62460K (12 May 2006); doi: 10.1117/12.669674; https://doi.org/10.1117/12.669674

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