Nonexpansive Pyramid for Image Coding Using a Nonlinear Filterbank

A nonexpansive pyramidal decomposition is proposed for

low-complexity image coding. The image is decomposed through a nonlinear

filter bank into low- and highpass signals and the recursion of the

filterbank over the lowpass signal generates a pyramid resembling that

of the octave wavelet transform. The structure itself guarantees perfect

reconstruction and we have chosen nonlinear filters for performance reasons.

The transformed samples are grouped into square blocks and used

to replace the discrete cosine transform (DCT) in the Joint Photographic

Expert Group (JPEG) coder. The proposed coder has some advantages

over the DCT-based JPEG: computation is greatly reduced, image edges

are better encoded, blocking is eliminated, and it allows lossless coding.

NonExpPyramid_Trans1988.pdf
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In  IEEE Transactions on Image Processing

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