On Advances in Statistical Modeling of Natural Images
Journal of Mathematical Imaging and Vision
A Maximum a Posteriori Identification Criterion for Wavelet Domain Watermarking
ICDCSW '04 Proceedings of the 24th International Conference on Distributed Computing Systems Workshops - W7: EC (ICDCSW'04) - Volume 7
A maximum a-posteriori identification criterion for wavelet domain watermarking
International Journal of Wireless and Mobile Computing
Video activity analysis based on 3D wavelet statistical properties
ICACT'09 Proceedings of the 11th international conference on Advanced Communication Technology - Volume 3
Application of 3D-wavelet statistics to video analysis
Multimedia Tools and Applications
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We present an embedded image coder based on a statistical characterization of natural images in the wavelet transform domain. We describe the joint distribution between pairs of coefficients at adjacent spatial locations, orientations, and scales. Although the raw coefficients are nearly, uncorrelated, their magnitudes are highly correlated. A linear magnitude predictor coupled with both multiplicative and additive uncertainties, provides a reasonable description of the conditional probability densities. We use this model to construct an image coder called EPWIC (embedded predictive wavelet image coder), in which subband coefficients are encoded one bit-plane at a time using a non-adaptive arithmetic encoder. Bit-planes are ordered using a greedy algorithm that considers the MSE reduction per encoded bit. We demonstrate the quality of the statistical characterization by comparing rate-distortion curves of the coder to several standard coders.