Effective image compression using evolved wavelets
GECCO '05 Proceedings of the 7th annual conference on Genetic and evolutionary computation
Block-based adaptive vector lifting schemes for multichannel image coding
Journal on Image and Video Processing
An edge-sensing predictor in wavelet lifting structures for lossless image coding
Journal on Image and Video Processing
Quadratic interpolation and linear lifting design
Journal on Image and Video Processing
Vector lifting schemes for stereo image coding
IEEE Transactions on Image Processing
Adaptive 2-D wavelet transform based on the lifting scheme with preserved vanishing moments
IEEE Transactions on Image Processing
Distortion estimates for adaptive lifting transforms with noise
Image and Vision Computing
Optimized orthonormal wavelet filters with improved frequency separation
Digital Signal Processing
Hi-index | 0.01 |
This paper proposes a new method for the design of lifting filters to compute a multidimensional nonseparable wavelet transform. Our approach is stated in the general case, and is illustrated for the 2-D separable and for the quincunx images. Results are shown for the JPEG2000 database and for satellite images acquired on a quincunx sampling grid. The design of efficient quincunx filters is a difficult challenge which has already been addressed for specific cases. Our approach enables the design of less expensive filters adapted to the signal statistics to enhance the compression efficiency in a more general case. It is based on a two-step lifting scheme and joins the lifting theory with Wiener's optimization. The prediction step is designed in order to minimize the variance of the signal, and the update step is designed in order to minimize a reconstruction error. Application for lossy compression shows the performances of the method.