Adaptive Lifting Schemes Combining Semi Norms for Image Compression

This paper presents a new class of adaptive wavelet decompositions that can capture the directional nature of the picture information. Our method exploits the properties of semi norms to build lifting structures able to choose between different update filters, the choice being triggered by a local gradient of the input. In order to discriminate between different geometrical information, the system makes use of multiple criteria, giving rise multiple choice of update filters. It establishes the conditions under which these decisions can be recovered at synthesis, without the need for transmitting overhead information.