Building adaptive 2D wavelet decompositions by update lifting

This paper discusses a method for the construction of nonlinear 2D wavelet decompositions using an adaptive update lifting scheme. A very interesting aspect is that the decomposition does not require any bookkeeping, i.e., it is nonredundant, but that it, nevertheless, allows perfect reconstruction. The major ingredient of the construction is the so-called decision map which triggers the choice of the update filter. Another interesting point is the possibility of better preserving the edges, even at low resolutions.

• Type: Conference
• Year: 2002
• Where: ICIP
• Authors: Béatrice Pesquet-Popescu, Gemma Piella, Henk J. A. M. Heijmans
• Keywords: ICIP 2002, Image Processing, Nonlinear 2D Wavelet, So-called Decision Map, Update Lifting Scheme