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Extract from original Lena ͑ a ͒ and images for 4 ϫ reconstructions: bilinear interpolation ͑ b ͒ , WZP ͑ c ͒ , and directional CS ͑ d ͒ . 

Extract from original Lena ͑ a ͒ and images for 4 ϫ reconstructions: bilinear interpolation ͑ b ͒ , WZP ͑ c ͒ , and directional CS ͑ d ͒ . 

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Cycle spinning, a technique mainly used for wavelet denoising, has also been shown to be successful toward image resolution upscaling in the wavelet domain. We propose a directional variant of the cycle spinning methodology. We obtain estimates of local edge orientation from a wavelet decomposition of the available low-resolution image and use this...

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... The Discrete Wavelet Transform (DWT) of an image which consists of four distinct parts which include an array of approximation coefficients and three arrays of detailed coefficients. The three detailed coefficients HL, LH and HH give the vertical, horizontal and diagonal details such as edges, singularities and orientation, respectively [8]. A. Temizel and Theodore Vlachos [23] used Wavelet Zero Padding (WZP) for the generation of a first approximation of the enhanced image followed by cyclic spinning to achieve the final upscaled enhanced image. In this method, vertical and horizontal activities are measured through HL and LH, but the diagonal CS involves extra computational complexities. ...
... Fig. 2 shows the scheme for the super-resolution. ) and an approximation f in (i, j) is given as Fig. 4 a Satellite image resolution enhanced by [23] b Image Resolution enhanced by [5] c Image Resolution enhanced by [6], d Image Resolution Enhanced by proposed technique Lower values the mean square error shows good reconstruction result and high PSNR shows good result. ...
... N} the universal quality index is given by Eq. (14). Fig. 5 a Baboon image resolution enhanced by [23] b Image Resolution enhanced by [5] c Image Resolution enhanced by [6], d Image Resolution Enhanced by proposed technique (a) (b) (c) (d) Fig. 6 a Lena image resolution enhanced by [23] b Image Resolution enhanced by [5] c Image Resolution enhanced by [6], d Image Resolution Enhanced by proposed technique ...
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... bi-histogram equalization (BBHE) and dualistic sub image histogram equalization (DSIHE), exposure-based sub image histogram equalization (ESIHE), non-parametric modified histogram equalisation (NMHE), singular value decomposition (SVD), standard intensity deviation clipped sub image histogram equalization (SIDCSIHE), and contrast enhancement by scaling reconstruction approximation coefficient using SVD (CE_SRA_SVD)) [9][10][11][12][13][14]. The proposed method outperform over conventional and state-of-art technique of resolution enhancement technique (i.e. the nearest neighbour, bilinear, bi-cubic, wavelet zero padding (WZP), Regularity-preserving image interpolation, new edge-directed interpolation (NEDI), hidden Markov model (HMM), HMM-based image super-resolution (HMM SR), WZP and cycle-spinning (WZP-CS), DWT based super-resolution (DWT SR), complex wavelet transform based super-resolution (CWT SR), and modified context-based image interpolation (MCBII)) [15][16][17][18][19][20][21][22]. The paper is structured as follows, section 2 contains the proposed method and section 3 we discuss experimental results. ...
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... However, in terms of performance, the directional cycle spinning is far better than the conventional cycle spinning. [20,21]. Gaussian mixture (GM), a statistical approach, was used to compute the correlation between the low wavelet and high wavelet coefficient. ...
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... However, in terms of performance, the directional cycle spinning is far better than the conventional cycle spinning. [20,21]. Gaussian mixture (GM), a statistical approach, was used to compute the correlation between the low wavelet and high wavelet coefficient. ...
... In present decades, several wavelet based image resolution strategies are introduced with conventional techniques (interpolation) namely, DWT [2], SWT [3], DT-CWT [4], Wavelet Zero Padding and cycle-spinning [5], wavelet with directional cycle spinning [6] and DWT based super resolution [7]. ...
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... SR algorithms cost is less compared to other sensors used to increase the resolution of images [1], [2]. Recently many SR algorithms have been proposed [3]. The wavelet based sparse mixing plays very important role in image enhancement of satellite images. ...
... However, ringing artifacts not only occur in the neighborhood of edges; in particular, they are predominantly correlated with the orientation of the edges. A directional CS technique, which can refine better edge orientation and prevent ringing artifacts, was introduced in Ref. 22. Additionally, it can reduce the computational complexity compared with a nondirectional CS technique. ...
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... Inverse filtering or generalized inverse filtering is used to recover the blurred image, but is highly sensitive to additive noise. The Wiener filtering assures noise smoothing and inverse filtering [14,15,16]. It simultaneously inverts the blurring and eliminates the additive noise [10,11,13]. ...
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... • WZP, CS, and edge rectification (WZP-CS-ER) [12]; ...