On optimal orthogonal transforms at high bit-rates using only second order statistics in multicomponent image coding with JPEG2000

Abstract : We study a JPEG2000 compatible multicomponent image compression scheme, which consists in applying a discrete wavelet transform (DWT) to each component of the image and a spectral linear transform between components. We consider the case of a spectral transform which adapts to the image and a 2-D DWT with fixed coefficients. In Akam Bita et al. (accepted for publication, [6]) we gave a criterion minimized by optimal spectral transforms. Here, we derive a simplified criterion by treating the transformed coefficients in each subband as having a Gaussian distribution of variance depending on the subband. Its minimization under orthogonality constraint is shown to lead to a joint approximate diagonalization problem, for which a fast algorithm (JADO) is available. Performances in coding of the transform returned by JADO are compared on hyper- and multi-spectral images with the Karhunen–Loève transform (KLT) and the optimal transform (without Gaussianity assumption) returned by the algorithm OrthOST introduced in Akam Bita et al. (accepted for publication, [6]). For hyper- (resp. multi-) spectral images, we observe that JADO returns a transform which performs appreciably better than (resp. as well as) the KLT at medium to high bit-rates, nearly attaining (resp. slightly below) the performances of the transform returned by OrthOST, with a significantly lower complexity than the algorithm OrthOST.
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https://hal-supelec.archives-ouvertes.fr/hal-00434350
Contributor : Sébastien van Luchene <>
Submitted on : Monday, November 23, 2009 - 8:57:47 AM
Last modification on : Monday, April 15, 2019 - 3:26:04 PM

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Isidore Paul Akam Bita, Michel Barret, Dinh-Tuan Pham. On optimal orthogonal transforms at high bit-rates using only second order statistics in multicomponent image coding with JPEG2000. Signal Processing, Elsevier, 2010, 90 (3), pp.753-758. ⟨10.1016/j.sigpro.2009.08.008⟩. ⟨hal-00434350⟩

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