Abstract: Embodiments of this invention include computer-implemented mathematical methods to develop software and/or hardware implementations that use wavelet transforms (WT) to pre-process video frames that can then be compressed using a variety of codecs to produce compressed video frames. Such compressed video frames can then be transmitted, decompressed, post-processed using the post-processing methods disclosed in the invention and displayed in their original size and quality using software and/or hardware implementations of embodiments of the invention, thereby producing real-time high-quality reproduction of video sequences. Embodiments include computer devices and computer readable media to implement these methods.