# Ingrid Daubechies

- James B. Duke 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

Fellow. American Mathematical Society. September 2013

Fellow. Institute of Electrical and Electronics Engineers. September 2013

Fellow. MacArthur Foundation. September 2013

Guggenheim Fellow. Unknown. September 2013

Jack S.Kilby Signal Processing Medal. Institute of Electrical and Electronics Engineers. September 2013

Leroy P. Steele Prize for Seminal Contribution to Research. American Mathematical Society. September 2013

Louis Empain Prize for Physics. Unknown. September 2013

Nemmers Prize in Mathematics. Northwestern University. September 2013

## Pages

Wu, H-T, Lewis, GF, Davila, MI, Daubechies, I, and Porges, SW. "Optimizing Estimates of Instantaneous Heart Rate from Pulse Wave Signals with the Synchrosqueezing Transform." *Methods of Information in Medicine* 55.5 (October 2016): 463-472.
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O'Neal, WT, Wang, YG, Wu, H-T, Zhang, Z-M, Li, Y, Tereshchenko, LG, Estes, EH, Daubechies, I, and Soliman, EZ. "Electrocardiographic J Wave and Cardiovascular Outcomes in the General Population (from the Atherosclerosis Risk In Communities Study)." *The American journal of cardiology* 118.6 (September 2016): 811-815.
Full Text Open Access Copy

Yin, R, Cornelis, B, Fodor, G, Ocon, N, Dunson, D, and Daubechies, I. "Removing cradle artifacts in X-ray images of paintings." *Siam Journal on Imaging Sciences* 9.3 (August 30, 2016): 1247-1272.
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Daubechies, I, Defrise, M, and De Mol, C. "Sparsity-enforcing regularisation and ISTA revisited." *Inverse Problems* 32.10 (August 5, 2016).
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Huang, NE, Daubechies, I, and Hou, TY. "Adaptive data analysis: theory and applications." *Philosophical transactions. Series A, Mathematical, physical, and engineering sciences* 374.2065 (April 2016): 20150207-. (introduction)
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Daubechies, I, Wang, YG, and Wu, H-T. "ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform." *Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences* 374.2065 (April 2016): 20150193-null.
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Daubechies, I, and Saab, R. "A Deterministic Analysis of Decimation for Sigma-Delta Quantization of Bandlimited Functions." *Ieee Signal Processing Letters* 22.11 (November 1, 2015): 2093-2096.
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Pizurica, A, Platisa, L, Ruzic, T, Cornelis, B, Dooms, A, Martens, M, Dubois, H, Devolder, B, De Mey, M, and Daubechies, I. "Digital image processing of the ghent altarpiece: Supporting the painting's study and conservation treatment." *Ieee Signal Processing Magazine* 32.4 (July 1, 2015).
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Yang, H, Lu, J, Brown, WP, Daubechies, I, and Ying, L. "Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms: Application of time-frequency analysis to art investigation." *Ieee Signal Processing Magazine* 32.4 (July 2015): 55-63.
Full Text Open Access Copy

Wang, YG, Wu, H-T, Daubechies, I, Li, Y, Estes, EH, and Soliman, EZ. "Automated J wave detection from digital 12-lead electrocardiogram." *Journal of Electrocardiology* 48.1 (January 2015): 21-28.
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## Pages

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 »

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 »