A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Wavelets and subband coding
Lossless Image Compression Using Integer to Integer Wavelet Transforms
ICIP '97 Proceedings of the 1997 International Conference on Image Processing (ICIP '97) 3-Volume Set-Volume 1 - Volume 1
The HDRI Handbook: High Dynamic Range Imaging for Photographers and CG Artists +DVD
The HDRI Handbook: High Dynamic Range Imaging for Photographers and CG Artists +DVD
Analysis of multiresolution image denoising schemes using generalized Gaussian and complexity priors
IEEE Transactions on Information Theory
Wavelet-based image denoising using a Markov random field a priori model
IEEE Transactions on Image Processing
Visibility of wavelet quantization noise
IEEE Transactions on Image Processing
The application of multiwavelet filterbanks to image processing
IEEE Transactions on Image Processing
Image compression via joint statistical characterization in the wavelet domain
IEEE Transactions on Image Processing
Context-based multiscale classification of document images using wavelet coefficient distributions
IEEE Transactions on Image Processing
Integer wavelet transform for embedded lossy to lossless image compression
IEEE Transactions on Image Processing
New image compression techniques using multiwavelets and multiwavelet packets
IEEE Transactions on Image Processing
Bayesian tree-structured image modeling using wavelet-domain hidden Markov models
IEEE Transactions on Image Processing
Wavelet-based color image compression: exploiting the contrast sensitivity function
IEEE Transactions on Image Processing
Image quality assessment: from error visibility to structural similarity
IEEE Transactions on Image Processing
JPEG2000 encoding with perceptual distortion control
IEEE Transactions on Image Processing
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Wavelet domain statistical models have been shown to be useful for certain applications, e.g. image compression, watermarking and Gaussian noise reduction. One of the main problems for wavelet-based compression is to overcome quantisation error efficiently. Inspired by Weber-Fechners Law, we introduce a logarithmic model that approximates the non-linearity of human perception and partially precompensates for the effect of the display device. A logarithmic transfer function is proposed in order to spread the coefficients distribution in the wavelet domain in compliance with the human perceptual attributes. The standard deviation @s of the logarithmically-scaled coefficients in a subband represents the average difference from the mean of the coefficients in that subband. The standard deviation is chosen as a measure of the visibility threshold within this subband. Computing the values of @s's for all subbands results in a quantisation matrix for a chosen image. The quantisation matrix is then scaled by a factor @r in order to provide the best trade-off between the visual quality and the bit-rate of the processed image. A major advantage of this model is to allow for observing the visibility threshold and automatically produce the quantisation matrix that is content dependant and scalable without further interaction from the user. The experimental results have proven the model works for any wavelet.