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
Biological Modeling
Computational Mathematics
Geometry: Differential & Algebraic
Mathematical Physics
Signals, Images & Data
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