Abstract

Technological developments for several years have resulted in the handling (storing, exchanging or processing) of increasingly important data in various fields and particularly in medical field. In this works we present a new image compression / decompression algorithm based on the quaternion wavelet transform (QWT). This algorithm is simple, fast and efficient. It has been applied to medical images. The results obtained after decompression are appreciated through the compression parameter values of CR, PSNR, and MSE and by visual observation. By the values of these parameters, the results of the algorithm are considered encouraging.

Highlights

  • Image compression can be defined as reducing the size of an image file, while maintaining an acceptable level of quality

  • We propose in this work a new image compression algorithm using wavelet transform quaternion

  • For our work, we present the general compression of the properties of quaternions, the proposed method and tests on medical images, and the presentation and analysis of results

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Summary

Introduction

Image compression can be defined as reducing the size of an image file, while maintaining an acceptable level of quality. It proceeds by reducing data redundancy of an image. This work is mainly aimed at increasing compression rates, improving the quality of the reconstructed signal and reducing the complexity of existing compression algorithms [1]. This remarkable efficiency is essentially due to two properties which are the parsimony of representation and the whitening of data [2]. For our work, we present the general compression of the properties of quaternions, the proposed method and tests on medical images, and the presentation and analysis of results

Compression generalities
Quaternionic wavelet transformation
Evaluation criteria
Materials and tools
Image transformation process
Results and discussions
Conclusion
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