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The High-Resolution Rate-Distortion Function under the Structural Similarity Index

Jan Østergaard, Milan S. Derpich, Sumohana S. Channappayya
2010 EURASIP Journal on Advances in Signal Processing  

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We show that the structural similarity (SSIM) index, which is used in image processing to assess the similarity between an image representation and an original reference image, can be formulated as a locally quadratic distortion measure. We, furthermore, show that recent results of Linder and Zamir on the rate-distortion function (RDF) under locally quadratic distortion measures are applicable to this SSIM distortion measure. We finally derive the high-resolution SSIM-RDF and provide a simple
more » ... thod to numerically compute an approximation of the SSIM-RDF of real images.
doi:10.1155/2011/857959 fatcat:f3iy24iq5neflc3znbmueqrcmu
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Jan Østergaard, Milan S. Derpich, Sumohana S. Channappayya. "The High-Resolution Rate-Distortion Function under the Structural Similarity Index." EURASIP Journal on Advances in Signal Processing 2011.1 (2010)