Adaptive lifting for nonparametric regression
Statistics and Computing
Adaptive splitting for stabilizing 1-D wavelet decompositions on irregular grids
Signal Processing - Signal processing in UWB communications
Block-based adaptive vector lifting schemes for multichannel image coding
Journal on Image and Video Processing
A `nondecimated' lifting transform
Statistics and Computing
Multiscale cell-based coarsening for discontinuous problems
Mathematics and Computers in Simulation
The lifting scheme for wavelet bi-frames: theory, structure, and algorithm
IEEE Transactions on Image Processing
Image enhancement via space-adaptive lifting scheme exploiting subband dependency
Digital Signal Processing
Adaptive 2-D wavelet transform based on the lifting scheme with preserved vanishing moments
IEEE Transactions on Image Processing
Evolutionary approach to improve wavelet transforms for image compression in embedded systems
EURASIP Journal on Advances in Signal Processing - Special issue on biologically inspired signal processing: analyses, algorithms and applications
Distortion estimates for adaptive lifting transforms with noise
Image and Vision Computing
Original article: The lifting factorization of wavelet bi-frames with arbitrary generators
Mathematics and Computers in Simulation
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We propose a framework for constructing adaptive wavelet decompositions using the lifting scheme. A major requirement is that perfect reconstruction is possible without any overhead cost. We restrict ourselves to the update lifting stage. It is assumed that the update filter utilizes local gradient information to adapt itself to the signal in the sense that smaller gradients "evoke" stronger update filters. As a result, sharp transitions in a signal will not be smoothed to the same extent as regions that are more homogeneous. The approach taken in this paper differs from other adaptive schemes found in the literature in the sense that no bookkeeping is required in order to have perfect reconstruction