# 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

Fellow. American Mathematical Society. September 2013

## Pages

Polatkan, Gungor, et al. “A Bayesian Nonparametric Approach to Image Super-Resolution.” *Ieee Transactions on Pattern Analysis and Machine Intelligence*, vol. 37, no. 2, Feb. 2015, pp. 346–58. *Epmc*, doi:10.1109/tpami.2014.2321404.
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Wang, Yi Grace, et al. “Automated J wave detection from digital 12-lead electrocardiogram.” *Journal of Electrocardiology*, vol. 48, no. 1, Jan. 2015, pp. 21–28. *Epmc*, doi:10.1016/j.jelectrocard.2014.10.006.
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Boyer, Doug M., et al. “A new fully automated approach for aligning and comparing shapes.” *Anatomical Record (Hoboken, N.J. : 2007)*, vol. 298, no. 1, Jan. 2015, pp. 249–76. *Epmc*, doi:10.1002/ar.23084.
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Wu, Hau-Tieng, et al. “Evaluating physiological dynamics via synchrosqueezing: prediction of ventilator weaning.” *Ieee Transactions on Bio Medical Engineering*, vol. 61, no. 3, Mar. 2014, pp. 736–44. *Epmc*, doi:10.1109/tbme.2013.2288497.
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Cornelis, B., et al. “Bayesian crack detection in ultra high resolution multimodal images of paintings.” *2013 18th International Conference on Digital Signal Processing, Dsp 2013*, Dec. 2013. *Scopus*, doi:10.1109/ICDSP.2013.6622710.
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Wu, T., et al. “Painting analysis using wavelets and probabilistic topic models.” *2013 Ieee International Conference on Image Processing, Icip 2013 Proceedings*, Dec. 2013, pp. 3264–68. *Scopus*, doi:10.1109/ICIP.2013.6738672.
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Charléty, J., et al. “Global seismic tomography with sparsity constraints: Comparison with smoothing and damping regularization.” *Journal of Geophysical Research E: Planets*, vol. 118, no. 9, Oct. 2013, pp. 4887–99. *Scopus*, doi:10.1002/jgrb.50326.
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Al-Aifari, R., et al. “Continuous Procrustes distance between two surfaces.” *Communications on Pure and Applied Mathematics*, vol. 66, no. 6, June 2013, pp. 934–64. *Scopus*, doi:10.1002/cpa.21444.
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Anitha, A., et al. “Restoration of X-ray fluorescence images of hidden paintings.” *Signal Processing*, vol. 93, no. 3, Mar. 2013, pp. 592–604. *Scopus*, doi:10.1016/j.sigpro.2012.09.027.
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Cornelis, B., et al. “Crack detection and inpainting for virtual restoration of paintings: The case of the Ghent Altarpiece.” *Signal Processing*, vol. 93, no. 3, Mar. 2013, pp. 605–19. *Scopus*, doi:10.1016/j.sigpro.2012.07.022.
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## Pages

At a dinner I attended some years ago, the distinguished differential geometer Eugenio Calabi volunteered to me his tongue-in-cheek distinction between pure and applied mathematicians. A pure mathematician, when stuck on the problem under study,... read more »

Prof. Ingrid Daubechies is one of the pioneers of applied mathematicians collaborating with artists, art historians and art conservators in the emerging inter-disciplinary field of math and art, leading projects aimed at applying advanced image... read more »

A research group led by Prof. Ingrid Daubechies, and recent Duke PhD. graduate, Dr. Tingran Gao, in collaboration with the Duke Department of Evolutionary Anthropology, combines computer graphics, geometry processing, and machine learning, to study... read more »

Ingrid Daubechies has won the 2012 Frederic Esser Nemmers Prize for mathematics. Durham, NC - Northwestern University has named Ingrid Daubechies the 2012 recipient of the Frederic Esser Nemmers Prize in mathematics. The award recognizes Daubechies... read more »

With math equations that analyze brush strokes, new discoveries about the world's greatest art are possible. It took X-ray fluorescence spectroscopy and a painting algorithm to reveal the hidden portrait of a peasant underneath the painting of... read more »