Adapted nonlinear multiresolution decomposition with applications in progressive lossless image coding

‡e present —n —d—pted nonline—r multiresolution deE ™omposition @with some deriv—tivesA of still im—ges th—t permits perfe™t re™onstru™tionF e hier—r™hi™—l pyr—mid—l de™omposition with m—xim—l de™im—tion is usedF por one level of de™ompositionD the input im—ge I is p—rtitioned into two su˜im—ges I I —nd I P o˜t—ined ˜y downEs—mplingF „he su˜im—ge I I is unE ™h—ngedF „he su˜im—ge I P is repl—™ed ˜y the rounded output I h of — Ph ps‚ lter whose ™oe™ients h—ve rst ˜een —d—pted to I —nd whi™h h—s the entries I I —nd I P F e simil—r pro™essing is then —pplied one time to e—™h of the su˜im—ges I I —nd I h F „he nonline—rE ity introdu™ed ˜y the rounding permits to perfe™tly inverse the pro™essD even when inverse lters @whi™h —re —ll e‚weA —re not fsfy st—˜leF eppli™—tions —re given in lossless im—ge ™odingD with possi˜ility of em˜edded zerotree ™odingF