A Holographic Alternative to JPEG

JPEG is the ubiquitous lossy compression protocol for images. Its eciency depends, however, on predominant local atness of the image. Therefore, encoding holograms (in essence, Fourier transforms of a 2D image) leaves little hope for ecient compression: the holograms typically consist of highly oscillating patterns. This article provides an overview of the JPEG lossy compression, and focuses in detail on the method to compress holograms eciently. Index Terms: JPEG, holograph, hologram, FFT, DCT, lossy compression, phase-retrieval algorithm.