19 November 2003 Adaptive wavelet transform algorithm for image compression applications
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Abstract
A new algorithm of locally adaptive wavelet transform is presented. The algorithm implements the integer-to-integer lifting scheme. It performs an adaptation of the wavelet function at the prediction stage to the local image data activity. The proposed algorithm is based on the generalized framework for the lifting scheme that permits to obtain easily different wavelet coefficients in the case of the (N~,N) lifting. It is proposed to perform the hard switching between (2, 4) and (4, 4) lifting filter outputs according to an estimate of the local data activity. When the data activity is high, i.e., in the vicinity of edges, the (4, 4) lifting is performed. Otherwise, in the plain areas, the (2,4) decomposition coefficients are calculated. The calculations are rather simples that permit the implementation of the designed algorithm in fixed point DSP processors. The proposed adaptive transform possesses the perfect restoration of the processed data and possesses good energy compactation. The designed algorithm was tested on different images. The proposed adaptive transform algorithm can be used for image/signal lossless compression.
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Oleksiy B. Pogrebnyak, Pablo Manrique Ramirez, "Adaptive wavelet transform algorithm for image compression applications", Proc. SPIE 5203, Applications of Digital Image Processing XXVI, (19 November 2003); doi: 10.1117/12.504092; https://doi.org/10.1117/12.504092
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KEYWORDS
Wavelets

Digital filtering

Discrete wavelet transforms

Image compression

Image filtering

Finite impulse response filters

Linear filtering

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