Title
A Common Formulation For Interpolation, Prediction, And Update Lifting Design
Abstract
The optimization of a quadratic objective function with linear constraints is useful for interpolation purposes. 'This formulation may be employed to derive an initial prediction in the lifting scheme domain in order to construct wavelet transforms. We modify the formulation to design final prediction and update lifting steps. The linear constraints relate. wavelet bases and coefficients with the underlying signal. The objective function is the detail signal energy for the prediction lifting design and the gradient of the approximation signal for the update. To report concrete results and the power of the approach, we derive update steps using an auto-regressive image model that show better performance than the 5/3 wavelet for the compression of several image classes.
Year
DOI
Venue
2006
10.1109/ICASSP.2006.1660267
2006 IEEE International Conference on Acoustics, Speech and Signal Processing, Vols 1-13
Keywords
Field
DocType
objective function,concrete,constraint optimization,data compression,design optimization,lifting scheme,interpolation,wavelet transforms,auto regressive,wavelet transform
Mathematical optimization,Quadratic objective function,Lifting scheme,Computer science,Interpolation,Second-generation wavelet transform,Energy (signal processing),Data compression,Wavelet,Wavelet transform
Conference
ISSN
Citations 
PageRank 
1520-6149
1
0.40
References 
Authors
2
2
Name
Order
Citations
PageRank
Joel Solé110.40
Philippe Salembier260387.65