Ingrid Daubechies
- James B. Duke Distinguished Professor of Mathematics and Electrical and Computer Engineering
- Professor in the Department of Mathematics
- Professor in the Department of Electrical and Computer Engineering (Joint)
Research Areas and Keywords
Analysis
wavelets, inverse problems
Biological Modeling
shape space
Computational Mathematics
inverse problems
Geometry: Differential & Algebraic
shape space
Mathematical Physics
time-frequency analysis
Signals, Images & Data
wavelets, time-frequency analysis, art conservation
Daubechies, I., and G. Teschke. “Wavelet based image decomposition by variational functionals.” Proceedings of Spie the International Society for Optical Engineering, vol. 5266, May 2004, pp. 94–105. Scopus, doi:10.1117/12.516051. Full Text
Daubechies, I., et al. “Normal multiresolution approximation of curves.” Constructive Approximation, vol. 20, no. 3, Jan. 2004, pp. 399–463. Scopus, doi:10.1007/s00365-003-0543-4. Full Text
Daubechies, I., and B. Han. “Pairs of dual wavelet frames from any two refinable functions.” Constructive Approximation, vol. 20, no. 3, Jan. 2004, pp. 325–52. Scopus, doi:10.1007/s00365-004-0567-4. Full Text
Daubechies, I., and R. Devore. “Approximating a bandlimited function using very coarsely quantized data: A family of stable sigma-delta modulators of arbitrary order.” Annals of Mathematics, vol. 158, no. 2, Jan. 2003, pp. 679–710. Scopus, doi:10.4007/annals.2003.158.679. Full Text
Cohen, A., et al. “Harmonic analysis of the space BV.” Revista Matematica Iberoamericana, vol. 19, no. 1, Jan. 2003, pp. 235–63. Scopus, doi:10.4171/RMI/345. Full Text
Daubechies, I., et al. “Framelets: MRA-based constructions of wavelet frames.” Applied and Computational Harmonic Analysis, vol. 14, no. 1, Jan. 2003, pp. 1–46. Scopus, doi:10.1016/S1063-5203(02)00511-0. Full Text
Cohen, A., et al. “On the importance of combining wavelet-based nonlinear approximation with coding strategies.” Ieee Transactions on Information Theory, vol. 48, no. 7, July 2002, pp. 1895–921. Scopus, doi:10.1109/TIT.2002.1013132. Full Text
Daubechies, I., and F. Planchon. “Adaptive Gabor transforms.” Applied and Computational Harmonic Analysis, vol. 13, no. 1, July 2002, pp. 1–21. Scopus, doi:10.1016/S1063-5203(02)00003-9. Full Text
Calderbank, A. R., and I. Daubechies. “The pros and cons of democracy.” Ieee Transactions on Information Theory, vol. 48, no. 6, June 2002, pp. 1721–25. Scopus, doi:10.1109/TIT.2002.1003852. Full Text
Daubechies, I., and B. Han. “The canonical dual frame of a wavelet frame.” Applied and Computational Harmonic Analysis, vol. 12, no. 3, May 2002, pp. 269–85. Scopus, doi:10.1006/acha.2002.0381. Full Text