Spatial noise shaping using convex optimization for perceptual image coding

In this paper we propose a new convex optimization framework for precise spatial noise shaping. The effectiveness of this new technique is demonstrated in the application of perceptual coding of images. A modified JPEG 2000 codec is implemented using the proposed new framework and compared with existing perceptual coding algorithms. Results of subjective tests show that the new framework can provide a significant improvement in bitrate savings compared to the best performing wavelet domain technique. The algorithm allows much more precise control of distortion than existing spatial domain techniques and is fully compliant with part 1 of the JPEG 2000 standard.