# 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

Basic Research Award. German Eduard Rhein Foundation. September 2013

Elected Member. National Academy of Sciences. September 2013

Fellow. American Mathematical Society. September 2013

## Pages

Cornelis, Bruno, et al. “Removal of Canvas Patterns in Digital Acquisitions of Paintings.” *Ieee Transactions on Image Processing : A Publication of the Ieee Signal Processing Society*, vol. 26, no. 1, Jan. 2017, pp. 160–71. *Epmc*, doi:10.1109/tip.2016.2621413.
Full Text Open Access Copy

Wu, Hau-Tieng, et al. “Optimizing Estimates of Instantaneous Heart Rate from Pulse Wave Signals with the Synchrosqueezing Transform.” *Methods of Information in Medicine*, vol. 55, no. 5, Oct. 2016, pp. 463–72. *Epmc*, doi:10.3414/me16-01-0026.
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O’Neal, Wesley T., et al. “Electrocardiographic J Wave and Cardiovascular Outcomes in the General Population (from the Atherosclerosis Risk In Communities Study).” *The American Journal of Cardiology*, vol. 118, no. 6, Sept. 2016, pp. 811–15. *Epmc*, doi:10.1016/j.amjcard.2016.06.047.
Full Text Open Access Copy

Yin, R., et al. “Removing cradle artifacts in X-ray images of paintings.” *Siam Journal on Imaging Sciences*, vol. 9, no. 3, Aug. 2016, pp. 1247–72. *Scopus*, doi:10.1137/15M1053554.
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Daubechies, I., et al. “Sparsity-enforcing regularisation and ISTA revisited.” *Inverse Problems*, vol. 32, no. 10, Aug. 2016. *Scopus*, doi:10.1088/0266-5611/32/10/104001.
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Huang, Norden E., et al. “Adaptive data analysis: theory and applications.” *Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences*, vol. 374, no. 2065, Apr. 2016, p. 20150207. *Epmc*, doi:10.1098/rsta.2015.0207.
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Daubechies, Ingrid, et al. “ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform.” *Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences*, vol. 374, no. 2065, Apr. 2016, p. 20150193. *Epmc*, doi:10.1098/rsta.2015.0193.
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Daubechies, I., and R. Saab. “A Deterministic Analysis of Decimation for Sigma-Delta Quantization of Bandlimited Functions.” *Ieee Signal Processing Letters*, vol. 22, no. 11, Nov. 2015, pp. 2093–96. *Scopus*, doi:10.1109/LSP.2015.2459758.
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Pizurica, A., et al. “Digital image processing of the ghent altarpiece: Supporting the painting's study and conservation treatment.” *Ieee Signal Processing Magazine*, vol. 32, no. 4, July 2015. *Scopus*, doi:10.1109/MSP.2015.2411753.
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Yang, H., et al. “Quantitative canvas weave analysis using 2-D synchrosqueezed transforms: Application of time-frequency analysis to art investigation.” *Ieee Signal Processing Magazine*, vol. 32, no. 4, July 2015, pp. 55–63. *Scopus*, doi:10.1109/MSP.2015.2406882.
Full Text Open Access Copy

## Pages

On June 4th, 2018, Professor Ingrid Daubechies was the first female recipient of the William Benter Prize in Applied Mathematics. This prestigious award recognizes outstanding mathematical contributions that have had a direct and fundamental impact... read more »

In a paper published in the *SIAM Journal on Imaging Sciences*, Rujie Yin, Bruno Cornelis, Gabor Fodor, Noelle Ocon, David Dunson, and Ingrid Daubechies present an... read more »

Ingrid Daubechies, a prominent mathematician whose pioneering work on wavelets is the foundation for millions of consumer products, has received a $1.5 million grant from the Simons Foundation. The... read more »

Duke undergraduates know professor Ingrid Daubechies as an instructor of multivariable calculus, but beyond Duke, she has become famous for her study of wavelets, or mathematical functions with the ability to enhance image compression technology... read more »

SWIM (Summer Workshop In Mathematics) is a 9-day workshop for female rising senior high school students interested in mathematics. All students currently in their junior year of high school are eligible to apply. Participants in the workshop will... read more »