Novel Einstein's Relativity Transform (ERT) for image compression

Abstract

We introduce a novel mathematical transform called Einstein’s Relativity Transform (ERT) for image compression. Our method is similar to the widely used JPEG compression, which employs the discrete cosine transform (DCT) on blocks of 8 by 8 pixels. However, instead of DCT, we use ERT to convert the image into a different signal representation. During quantization, we discard low-level information to achieve compression, and then transform the remaining high-level information back to its image counterpart. Our ERT-based compression achieves a comparable compressed file size to that of JPEG, while improving the peak signal-to-noise ratio (PSNR) and structural similarity index (SSIM) values. Our results suggest that ERT is a promising technique for image compression that can potentially outperform the existing method.