Fast algorithm of byte-to-byte wavelet transform for image compression applications

Oleksiy Pogrebnyak, Juan Humberto Sossa Azuela, Pablo Manrique Ramírez

Research output: Contribution to conferencePaper

2 Scopus citations

Abstract

A new fast algorithm of 2D DWT transform is presented. The algorithm operates on byte represented images and performs image transformation with the Cohen-Daubechies-Feauveau wavelet of the second order. It uses the lifting scheme for the calculations. The proposed algorithm is based on the "checkerboard" computation scheme for non-separable 2D wavelet. The problem of data extension near the image borders is resolved computing 1D Haar wavelet in the vicinity of the borders. With the checkerboard splitting, at each level of decomposition only one detail image is produced that simplify the further analysis for data compression. The calculations are rather simple, without any floating point operation allowing the implementation of the designed algorithm in fixed point DSP processors for fast, near real time processing. The proposed algorithm does not possesses perfect restoration of the processed data because of rounding that is introduced at each level of decomposition/restoration to perform operations with byte represented data. The designed algorithm was tested on different images. The criterion to estimate quantitatively the quality of the restored images was the well known PSNR. For the visual quality estimation the error maps between original and restored images were calculated. The obtained simulation results show that the visual and quantitative quality of the restored images is degraded with number of decomposition level increasing but is sufficiently high even after 6 levels. The introduced distortion are concentrated in the vicinity of high spatial activity details and are absent in the homogeneous regions. The designed algorithm can be used for image lossy compression and in noise suppression applications.
Original languageAmerican English
Pages291-301
Number of pages260
DOIs
StatePublished - 1 Dec 2002
EventProceedings of SPIE - The International Society for Optical Engineering -
Duration: 31 Aug 2007 → …

Conference

ConferenceProceedings of SPIE - The International Society for Optical Engineering
Period31/08/07 → …

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Pogrebnyak, O., Sossa Azuela, J. H., & Ramírez, P. M. (2002). Fast algorithm of byte-to-byte wavelet transform for image compression applications. 291-301. Paper presented at Proceedings of SPIE - The International Society for Optical Engineering, . https://doi.org/10.1117/12.450878