Mathematical properties of the JPEG2000 wavelet filters

@article{Unser2003MathematicalPO,
  title={Mathematical properties of the JPEG2000 wavelet filters},
  author={M. Unser and T. Blu},
  journal={IEEE transactions on image processing : a publication of the IEEE Signal Processing Society},
  year={2003},
  volume={12 9},
  pages={
          1080-90
        }
}
  • M. Unser, T. Blu
  • Published 2003
  • Mathematics, Medicine, Computer Science
  • IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
The LeGall 5/3 and Daubechies 9/7 filters have risen to special prominence because they were selected for inclusion in the JPEG2000 standard. We determine their key mathematical features: Riesz bounds, order of approximation, and regularity (Hölder and Sobolev). We give approximation theoretic quantities such as the asymptotic constant for the L2 error and the angle between the analysis and synthesis spaces which characterizes the loss of performance with respect to an orthogonal projection. We… Expand
Mathematical properties of the two-parameter family of 9/7 biorthogonal filters
Generalized Daubechies Wavelet Families
Wavelet theoretic properties of the family of 6/10 biorthogonal filters
Lossless Image Compression Using New Biorthogonal Wavelets
The construction of a statistical prediction lifting operator and its application
Filter Banks and Wavelet Compression
Harmonic postprocessing to conceal for transmission errors in DWT transmitted images
  • Y. Niu, T. Poston
  • Mathematics, Computer Science
  • Signal Process. Image Commun.
  • 2006
Performance analysis of embedded-wavelet coders
Image processing with JPEG2000 coders
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 47 REFERENCES
On the choice of 'wavelet' filter for still image compression
  • O. Rioul
  • Mathematics, Computer Science
  • 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing
  • 1993
Analysis of low bit rate image transform coding
Image coding using wavelet transform
Image compression through wavelet transform coding
Approximation power of biorthogonal wavelet expansions
  • M. Unser
  • Mathematics, Computer Science
  • IEEE Trans. Signal Process.
  • 1996
A multiscale relaxation algorithm for SNR maximization in nonorthogonal subband coding
  • P. Moulin
  • Mathematics, Computer Science
  • IEEE Trans. Image Process.
  • 1995
Approximation Error for Quasi-Interpolators and (Multi-)Wavelet Expansions
A new, fast, and efficient image codec based on set partitioning in hierarchical trees
  • A. Said, W. Pearlman
  • Computer Science, Mathematics
  • IEEE Trans. Circuits Syst. Video Technol.
  • 1996
...
1
2
3
4
5
...