Abstract
The purpose of the article is to develop recommendations for choosing image compression method based on wavelet transformation, depending on image type, quality and compression requirements. Among the wavelet image compression methods, Embedded Zerotree Wavelet coder (EZW) and Set Partition In Hierarchical Trees (SPIHT) are considered, and the Haar wavelet and wavelet transformation in the oriented basis with the first, third, fifth and seventh decomposition levels is used as the base wavelet transform. These compression methods were compared with each other and with the standard JPEG method on the following parameters: mean square error, maximum error, peak to noise ratio, number of bits per pixel, compression ratio, and image size. The proposed methods can be successfully applied in the transmission of seabed relief images obtained from satellites or sea buoys.
Highlights
The general image compression scheme (Fig. 1) contains a preliminary processing step for the initial image, a two-dimensional discrete Haar wavelet transform, and a compression based on the Embedded Zerotree Wavelet coder (EZW) or Set Partition In Hierarchical Trees (SPIHT) algorithms
Studies and comparative analysis of image compression methods based on discrete Haar wavelet and JPEG algorithm allowed to formulate recommendations for selecting the method and level of wavelet decomposition, depending on the desired quality and conditions of the task
EZW provides better compressed image quality (PNSR: 52.9dB – 22.77 dB; BPP: 8.2323 – 0.11765), depending on the compression ratio (98.90% – 1.47%), which is determined by the wavelet decomposition level
Summary
Wavelet analysis is widely used in marine research – when solving problems of diagnosing underwater inhomogeneities or determining the topography of the seabed, because inappropriate or inaccurate detection of heterogeneity can lead to irreversible catastrophic consequences. [9]. With high compression levels on the restored image, a block structure can be seen With wavelet compression, this problem does not arise, but there may be other types of noise that look like rocks near sharp boundaries. Embedded Zerotree Wavelet coder (EZW) [4] algorithm and the Set Partition In Hierarchical Trees (SPIHT) algorithm [1] Both compression algorithms are compared to the standard JPEG method. To find a compromise between image quality and compression, it is necessary to conduct research and comparative analysis of various methods that will allow the development of recommendations for the application of a method for images of different nature and taking into account the requirements of the analysis problem. To estimate the compression ratio, we will consider the number of bits per pixel, compression ratio, and image size
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