# 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
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

### Selected Grants

Simons Foundation - Math + X Investigators awarded by Simons Foundation (Principal Investigator). 2016 to 2021

New Approaches for Better Spatial Frequency Localization in 2 and 3-Dimensional Data Analysis awarded by National Science Foundation (Principal Investigator). 2015 to 2019

Structured Dictionary Models and Learning for High Resolution Images awarded by National Science Foundation (Co-Principal Investigator). 2013 to 2017

Mathematics of Low Dimensional Represenations for Design awarded by Office of Naval Research (Co-Principal Investigator). 2011 to 2016

Discovery of Empirical Components by Information Theory, Random Matrix Theory, and Computational Topology awarded by Princeton University (Principal Investigator). 2013 to 2016

Digital Removal of Cradle Artifacts from X-rays of Old Masterworks Painted on Wood Panel awarded by Samuel H. Kress Foundation (Principal Investigator). 2014 to 2015

Voronin, S, and Daubechies, I. "An iteratively reweighted least squares algorithm for sparse regularization." Contemporary Mathematics. January 1, 2017. 391-411. Full Text

Daubechies, I. "Foreword." January 10, 2009. xv-xvi.

Shan, S, Kovalsky, SZ, Winchester, JM, Boyer, DM, and Daubechies, I. "ariaDNE: A robustly implemented algorithm for Dirichlet energy of the normal." Methods in Ecology and Evolution 10.4 (April 1, 2019): 541-552. Full Text

Zhu, W, Qiu, Q, Huang, J, Calderbank, R, Sapiro, G, and Daubechies, I. "LDMNet: Low Dimensional Manifold Regularized Neural Networks." Proceedings of the Ieee Computer Society Conference on Computer Vision and Pattern Recognition (December 14, 2018): 2743-2751. Full Text

Yin, R, and Daubechies, I. "Directional Wavelet Bases Constructions with Dyadic Quincunx Subsampling." Journal of Fourier Analysis and Applications 24.3 (June 1, 2018): 872-907. Full Text

Alaifari, R, Daubechies, I, Grohs, P, and Yin, R. "Stable Phase Retrieval in Infinite Dimensions(Accepted)." Foundations of Computational Mathematics (January 1, 2018). Full Text

Xu, J, Yang, H, and Daubechies, I. "Recursive Diffeomorphism-Based Regression for Shape Functions." Siam Journal on Mathematical Analysis 50.1 (January 2018): 5-32. Full Text Open Access Copy

Alaifari, R, Daubechies, I, Grohs, P, and Thakur, G. "Reconstructing Real-Valued Functions from Unsigned Coefficients with Respect to Wavelet and Other Frames." Journal of Fourier Analysis and Applications 23.6 (December 1, 2017): 1480-1494. Full Text

Cornelis, B, Yang, H, Goodfriend, A, Ocon, N, Lu, J, and Daubechies, I. "Removal of Canvas Patterns in Digital Acquisitions of Paintings." Ieee Transactions on Image Processing : a Publication of the Ieee Signal Processing Society 26.1 (January 2017): 160-171. Full Text Open Access Copy

Yin, R, Gao, T, Lu, YM, and Daubechies, I. "A tale of two bases: Local-nonlocal regularization on image patches with convolution framelets." Siam Journal on Imaging Sciences 10.2 (January 1, 2017): 711-750. Full Text

Fodor, G, Cornelis, B, Yin, R, Dooms, A, and Daubechies, I. "Cradle removal in X-ray images of panel paintings." Image Processing on Line 7 (January 1, 2017): 23-42. Full Text

## Pages

Deligiannis, N, Mota, JFC, Cornelis, B, Rodrigues, MRD, and Daubechies, I. "Multi-Modal Dictionary Learning for Image Separation With Application in Art Investigation." February 2017. Full Text

Deligiannis, N, Mota, JFC, Cornelis, B, Rodrigues, MRD, and Daubechies, I. "X-ray image separation via coupled dictionary learning." 2016 IEEE International Conference on Image Processing (ICIP). September 25, 2016 - September 28, 2016.: IEEE, September 2016. Full Text

Yin, R, Monson, E, Honig, E, Daubechies, I, and Maggioni, M. "Object recognition in art drawings: Transfer of a neural network." May 18, 2016. Full Text

Yin, R, Dunson, D, Cornelis, B, Brown, B, Ocon, N, and Daubechies, I. "Digital cradle removal in X-ray images of art paintings." January 28, 2014. Full Text

Puente, J, Boyer, DM, Gladman, JT, and Daubechies, IC. "Automated approaches to geometric morphometrics." 2013.

Cvetković, Z, Daubechies, I, and Logan, BF. "Interpolation of bandlimited functions from quantized irregular samples." January 1, 2002. Full Text

Moayeri, N, Daubechies, I, Song, Q, and Wang, HS. "Wavelet transform image coding using trellis coded vector quantization." January 1, 1992. Full Text

##### Ingrid Daubechies recognized by UNESCO for excellence in Mathematics

Ingrid Daubechies is one of five outstanding women scientists from different parts of the world recognized for their excellence in the fields of material science, mathematics and computer science.  They will each receive € 100,000 and will be... read more »

##### 2018 Fudan-Zhongzhi Science Award presented to Professor Ingrid Daubechies

The 2018 Fudan-Zhongzhi Science Award has been awarded to Ingrid Daubechies, James B. Duke Professor of Mathematics and Electrical and... read more »

##### 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 »