  The Internet has turned the entire world into a small village;this is because
it 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 main
challenge. To address this issue, a new algorithm is required to reduce image
bits and represent the data in a compressed form. Nevertheless, image
compression is an important application for transferring large files and
images. This requires appropriate and efficient transfers in this field to
achieve the task and reach the best results. In this work, we propose a new
algorithm based on discrete Hermite wavelets transformation (DHWT) that shows
the efficiency and quality of the color images. By compressing the color image,
this method analyzes it and divides it into approximate coefficients and detail
coefficients after adding the wavelets into MATLAB. With Multi-Resolution
Analyses (MRA), the appropriate filter is derived, and the mathematical aspects
prove 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 to
achieve the best quality of the resulting image, such as the peak
signal-to-noise ratio (PSNR), compression ratio (CR), bits per pixel (BPP), and
mean square error (MSE).
