The High-Resolution Rate-Distortion Function under the Structural Similarity Index. (2nd November 2010)

• Record Type: Journal Article
• Authors: Østergaard Østergaard, Jan Jan; Derpich Derpich, Milan S. Milan S.; Channappayya Channappayya, Sumohana S. Sumohana S.
• Other Names: Panetta Panetta Karen Karen Academic Editor.
• Is Part Of: EURASIP journal on advances in signal processing. Volume 2011(2011)
• Publication Date: 2010-11-02
• Subjects: Signal processing -- Periodicals; Traitement du signal; Signal processing; Periodicals; 621.3822
• DOI: 10.1155/2011/857959
• Languages: English
• ISSNs: 1687-6172

Abstract

Abstract : 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 method to numerically compute an approximation of the SSIM-RDF of real images.