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The Internet has turned the entire world into a small village;this is becauseit has made it possible to share millions of images and videos. However,sending and receiving a huge amount of data is considered to be a mainchallenge. To address this issue, a new algorithm is required to reduce imagebits and represent the data in a compressed form. Nevertheless, imagecompression is an important application for transferring large files andimages. This requires appropriate and efficient transfers in this field toachieve the task and reach the best results. In this work, we propose a newalgorithm based on discrete Hermite wavelets transformation (DHWT) that showsthe efficiency and quality of the color images. By compressing the color image,this method analyzes it and divides it into approximate coefficients and detailcoefficients after adding the wavelets into MATLAB. With Multi-ResolutionAnalyses (MRA), the appropriate filter is derived, and the mathematical aspectsprove to be validated by testing a new filter and performing its operation.After the decomposition of the rows and upon the process of the reconstruction,taking the inverse of the filter and dealing with the columns of the matrix,the original matrix is improved by measuring the parameters of the image toachieve the best quality of the resulting image, such as the peaksignal-to-noise ratio (PSNR), compression ratio (CR), bits per pixel (BPP), andmean square error (MSE).

Enhancement of theColor Image Compression Using a New Algorithm based on Discrete Hermite Wavelet Transform