Publication

Joint Reconstruction of Correlated Images from Compressed Images

Pascal Frossard, Vijayaraghavan Thirumalai
2012
Article de conférence
Résumé

This paper proposes a novel joint reconstruction algorithm to decode sets of correlated images from distributively compressed images. We consider a scenario where the images captured at different viewpoints are encoded independently using transform-based coding solutions (e.g., SPIHT) with a balanced rate distribution among different cameras. A central decoder jointly processes the compressed images and reconstructs an image pair by exploiting the correlation between images. The central decoder first estimates the underlying correlation model from the independently compressed images and it is eventually used for the joint signal recovery. The joint reconstruction is cast as a constrained convex optimization problem that reconstructs a total-variation (TV) smooth image pair that satisfies with the estimated correlation model. At the same time, we add constraints that force the reconstructed images to be as close as possible to the compressed views. We show by experiments that the proposed joint reconstruction scheme outperforms independent reconstruction in terms of image quality, for a given target bit rate

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Concepts associés (34)
Corrélation (statistiques)
En probabilités et en statistique, la corrélation entre plusieurs variables aléatoires ou statistiques est une notion de liaison qui contredit leur indépendance. Cette corrélation est très souvent réduite à la corrélation linéaire entre variables quantitatives, c’est-à-dire l’ajustement d’une variable par rapport à l’autre par une relation affine obtenue par régression linéaire. Pour cela, on calcule un coefficient de corrélation linéaire, quotient de leur covariance par le produit de leurs écarts types.
Pearson correlation coefficient
In statistics, the Pearson correlation coefficient (PCC) is a correlation coefficient that measures linear correlation between two sets of data. It is the ratio between the covariance of two variables and the product of their standard deviations; thus, it is essentially a normalized measurement of the covariance, such that the result always has a value between −1 and 1. As with covariance itself, the measure can only reflect a linear correlation of variables, and ignores many other types of relationships or correlations.
Intraclass correlation
In statistics, the intraclass correlation, or the intraclass correlation coefficient (ICC), is a descriptive statistic that can be used when quantitative measurements are made on units that are organized into groups. It describes how strongly units in the same group resemble each other. While it is viewed as a type of correlation, unlike most other correlation measures, it operates on data structured as groups rather than data structured as paired observations.
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