Since decades the standard for storing images is the .jpg format. The JPEG algorithm decomposes the image into a mesh consisting of 8 × 8 pixel blocks. On each such block,the image is stored efficiently (see [Wik21] for details). The goal of this work is to obtain acoarses mesh adaptively to save even more storage space while also maintaining the imagequality. Besides the formulation of such an algorithm, there is also a near-optimality result given by Binev P. and DeVore R. for the algorithm (siehe [BD04]). Finally, the algorithmis tested on some test images, which shows that the algorithm has a significantly better compression rate than the JPEG algorithm for many images.
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