Ingrid Daubechies

Ingrid Daubechies
  • James B. Duke 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
Education & Training
  • Ph.D., Vrije Universiteit Brussel (Belgium) 1980

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

Daubechies, I., et al. “Beta expansions: A new approach to digitally corrected A/D conversion.” Proceedings  Ieee International Symposium on Circuits and Systems, vol. 2, Jan. 2002, pp. 784–87. Scopus, doi:10.1109/ISCAS.2002.1011470. Full Text

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