# 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

shape space

inverse problems

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

## 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. Full Text

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. Full Text

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. Full Text

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. Full Text

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. Full Text

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. Full Text

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. Full Text

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

##### Daubechies awarded the William Benter Prize at the International Conference on Applied Mathematics

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 »

##### Advanced Algorithm Improves Art Restoration Techniques

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 »

##### Math Professor Ingrid Daubechies Makes Waves with Research

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 »

##### Duke Math Hosts SWIM: A Summer program for female rising senior high school students

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 »