Ingrid Daubechies

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

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
Education & Training
  • Ph.D., Vrije Universiteit Brussel (Belgium) 1980

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. Full Text

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. Full Text

Daubechies, I, Defrise, M, and De Mol, C. "Sparsity-enforcing regularisation and ISTA revisited." Inverse Problems 32.10 (August 5, 2016). Full Text

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) Full Text

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. Full Text

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. Full Text

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). Full Text

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. Full Text


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 »

Big Data’s Mathematical Mysteries  Machine learning works spectacularly well, but mathematicians aren’t quite sure why.

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 »

 Helping Art Conservators study X-ray Images of Paintings

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 »

Mapping Lemur Teeth

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 »