2009
DOI: 10.1007/s10043-009-0010-y
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Image quality assessment using the singular value decomposition theorem

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Cited by 46 publications
(16 citation statements)
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“…During the next years, several modifications of these methods were proposed by various researchers, including the Gradient SSIM [21], Quality Index based on Local Variance (QILV) [22], Riesz based Feature Similarity (RFSIM) [23] or Feature Similarity (FSIM) [24]. Some other proposed metrics utilized the Singular Value Decomposition, eg., R-SVD [25] or the information theory, eg., Information Fidelity Criterion (IFC), as well as the Visual Information Fidelity (VIF) [26], [27]. The source codes of MATLAB implementations of many metrics can be found on the webpages of their Authors and some of them were collected in the MeTriX_MuX package [28].…”
Section: Selected Full-reference Image Quality Assessment Methodsmentioning
confidence: 99%
“…During the next years, several modifications of these methods were proposed by various researchers, including the Gradient SSIM [21], Quality Index based on Local Variance (QILV) [22], Riesz based Feature Similarity (RFSIM) [23] or Feature Similarity (FSIM) [24]. Some other proposed metrics utilized the Singular Value Decomposition, eg., R-SVD [25] or the information theory, eg., Information Fidelity Criterion (IFC), as well as the Visual Information Fidelity (VIF) [26], [27]. The source codes of MATLAB implementations of many metrics can be found on the webpages of their Authors and some of them were collected in the MeTriX_MuX package [28].…”
Section: Selected Full-reference Image Quality Assessment Methodsmentioning
confidence: 99%
“…The first one is the Reflection Factor (RF) [25], which utilizes not only the singular values but also right singular vector matrices to calculate the reflections, denoted as total weighted differences scaled by the singular values dependent on the energy of the image. The second algorithm, known as R-SVD [26], is based on the "referee matrix" obtained by the substitution of the reference image's left singular matrices by their equivalents calculated for the distorted one. These calculations have been made using the sliding window approach using the 8 × 8 pixels image fragments to determine the local quality.…”
Section: B Some Other Full-reference Iqa Metricsmentioning
confidence: 99%
“…To evaluate the quality of a distorted image [26,27], FR methods usually provide the most precise evaluation results in comparing with NR and RR methods. In the past three decades, many objective FR IQA methods have been put forward [3][4][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25], which can be generally classified into the following three main categories:…”
Section: Introductionmentioning
confidence: 99%
“…MSVD used the mean of the differences between SVD values for assessing the image quality [17]. To enhance the performance of MSSIM and SVD, some scholars proposed improved IQA metrics by considering different regions in image are with different importance for human visual perception [18,19]. Recently, some new measures are brought out [20][21][22][23].…”
Section: Introductionmentioning
confidence: 99%