Ingrid Daubechies

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

Education & Training
  • Ph.D., Vrije Universiteit Brussel (Belgium) 1980

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., 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., 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 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

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