Self-adaptive stretch in anamorphic image compression

Discrete Anamorphic Stretch Transform is a newly introduced physics-based algorithm that compresses the image while preserving vital information. This transform is a reversible nonlinear operation both in terms of amplitude and phase. It reduces the space-bandwidth product by performing self-adaptive stretch where sharp features of the image are preferentially stretched without the need for feature detection or iterative algorithms. Here we present mathematical proof of self-adaptive stretch in anamorphic image compression. We also use the Stretched Modulation Distribution to shows the effect of self-adaptive stretch on the image and identify the proper kernel of the transform that leads to data compression. Experimental results presented here show application of our method as pre-compression to enhance WebP and JPEG 2000 formats.