

Preprints

T. Debarre, J. Fageot, H. Gupta, M. Unser, "BSplineBased Exact Discretization of ContinuousDomain Inverse Problems with Generalized TV Regularization," IEEE Transactions on Information Theory, in press.

J. Fageot, V. Uhlmann, M. Unser, "Gaussian and Sparse Processes Are Limits of Generalized Poisson Processes," Applied and Computational Harmonic Analysis, in press.

J. Fageot, M. Unser, "Scaling Limits of Solutions of Linear Stochastic Differential Equations Driven by Lévy White Noises," Journal of Theoretical Probability, in press.

J. Fageot, M. Unser, J.P. Ward, "Beyond Wiener's Lemma: Nuclear Convolution Algebras and the Inversion of Digital Filters," Journal of Fourier Analysis and Applications, in press.

J. Fageot, M. Unser, J.P. Ward, "The nterm Approximation of Periodic Generalized Lévy Processes," Journal of Theoretical Probability, in press.

H.Q. Nguyen, M. Unser, "Approximation of NonDecaying Signals from ShiftInvariant Subspaces," Journal of Fourier Analysis and Applications, in press.

D. Sage, T.A. Pham, H. Babcock, T. Lukes, T. Pengo, J. Chao, R. Velmurugan, A. Herbert, A. Agrawal, S. Colabrese, A. Wheeler, A. Archetti, B. Rieger, R. Ober, G.M. Hagen, J.B. Sibarita, J. Ries, R. Henriques, M. Unser, S. Holden, "SuperResolution Fight Club: Assessment of 2D and 3D SingleMolecule Localization Microscopy Software," Nature Methods, in press.

E. Soubies, M. Unser, "Computational SuperSectioning for SingleSlice StructuredIllumination Microscopy," IEEE Transactions on Computational Imaging, in press.

M. Unser, "A Representer Theorem for Deep Neural Networks," Journal of Machine Learning Research, in press.

T. Debarre, J. Fageot, H. Gupta, M. Unser, "Solving ContinuousDomain Problems Exactly with Multiresolution BSplines," Proceedings of the FortyFourth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'19), Brighton, United Kingdom, May 1217, 2019, in press.

A. Badoual, A. Galan, D. Sage, M. Unser, "Deforming Tessellations for the Segmentation of Cell Aggregates," Proceedings of the Sixteenth IEEE International Symposium on Biomedical Imaging (ISBI'19), Venice, Italian Republic, April 811, 2019, in press.

L. Donati, E. Soubies, M. Unser, "InnerLoopFree ADMM for CryoEM," Proceedings of the Sixteenth IEEE International Symposium on Biomedical Imaging (ISBI'19), Venice, Italian Republic, April 811, 2019, in press.

T.a. Pham, E. Soubies, D. Sage, M. Unser, "ClosedForm Expression of the Fourier RingCorrelation for SingleMolecule Localization Microscopy," Proceedings of the Sixteenth IEEE International Symposium on Biomedical Imaging (ISBI'19), Venice, Italian Republic, April 811, 2019, in press.

E. Soubies, L. BlancFéraud, S. Schaub, E. Van ObberghenSchilling, "Improving 3D MATIRF Reconstruction with Deconvolution and Background Estimation," Proceedings of the Sixteenth IEEE International Symposium on Biomedical Imaging (ISBI'19), Venice, Italian Republic, April 811, 2019, in press.
Prepublications

S. Aziznejad, J. Fageot, M. Unser, "Wavelet Analysis of the Besov Regularity of Lévy White Noises," arXiv:1801.09245 [math.PR]

S. Aziznejad, M. Unser, "An L1 Representer Theorem for MultipleKernel Regression," arXiv:1811.00836 [cs.LG]

J. Fageot, S. Aziznejad, M. Unser, V. Uhlmann, "Support and Approximation Properties of Hermite Splines," arXiv:1902.02565 [math.NA]

J. Fageot, T. Humeau, "Unified View on Lévy White Noises: General Integrability Conditions and Applications to Linear SPDE," arXiv:1708.02500 [math.PR]

J. Fageot, V. Uhlmann, Z. Püspöki, B. Beck, M. Unser, A. Depeursinge, "Principled Design and Implementation of Steerable Detectors," arXiv:1811.00863 [eess.IV]

E. Soubies, F. Soulez, M.T. McCann, T.a. Pham, L. Donati, T. Debarre, D. Sage, M. Unser, "Pocket Guide to Solve Inverse Problems with GlobalBioIm," arXiv:1812.07908 [cs.MS]

M. Unser, "A Representer Theorem for Deep Neural Networks," arXiv:1802.09210 [stat.ML]

M. Unser, "A Unifying Representer Theorem for Inverse Problems and Machine Learning," arXiv:1903.00687 [math.OC]
Journal Articles
2019
Journal Articles • 2018 • 2019 • ↑Top

E. Soubies, A. Radwanska, D. Grall, L. BlancFéraud, E. Van ObberghenSchilling, S. Schaub, "Nanometric Axial Resolution of Fibronectin Assembly Units Achieved with an Efficient Reconstruction Approach for MultiAngleTIRF Microscopy," Scientific Reports, vol. 9, no. 1926, pp. 110, February 13, 2019.

D. Migliozzi, M. Cornaglia, L. Mouchiroud, V. Uhlmann, M.A. Unser, J. Auwerx, M.A.M. Gijs, "Multimodal Imaging and HighThroughput ImageProcessing for Drug Screening on Living Organisms onChip," Journal of Biomedical Optics, vol. 24, no. 2, pp. 0212051–0212059, February 2019.

A.I. Rahaghi, U. Lemmin, D. Sage, D.A. Barry, "Achieving HighResolution Thermal Imagery in LowContrast Lake Surface Waters by Aerial Remote Sensing and Image Registration," Remote Sensing of Environment, vol. 221, pp. 773783, February 2019.

D. Gambarotto, F.U. Zwettler, M. Le Guennec, M. SchmidtCernohorska, D. Fortun, S. Borgers, J. Heine, J.G. Schloetel, M. Reuss, M. Unser, E.S. Boyden, M. Sauer, V. Hamel, P. Guichard, "Imaging Cellular Ultrastructures Using Expansion Microscopy (UExM)," Nature Methods—Techniques for Life Scientists and Chemists, vol. 16, no. 1, pp. 7181, January 2019.

Z. Püspöki, J. Fageot, A. Amini, J.P. Ward, M. Unser, "Angular Accuracy of Steerable Feature Detectors," SIAM Journal on Imaging Sciences, vol. 12, no. 1, pp. 344371, 2019.
2018
Journal Articles • 2017 • 2019 • ↑Top

L. Donati, M. Nilchian, C.Ó.S. Sorzano, M. Unser, "Fast Multiscale Reconstruction for CryoEM," Journal of Structural Biology, vol. 204, no. 3, pp. 543554, December 2018.

A. Badoual, J. Fageot, M. Unser, "Periodic Splines and Gaussian Processes for the Resolution of Linear Inverse Problems," IEEE Transactions on Signal Processing, vol. 66, no. 22, pp. 60476061, November 15, 2018.

D. Fortun, M. Storath, D. Rickert, A. Weinmann, M. Unser, "Fast PiecewiseAffine Motion Estimation Without Segmentation," IEEE Transactions on Image Processing, vol. 27, no. 11, pp. 56125624, November 2018.

C.L. Chen, L. Hermans, M.C. Viswanathan, D. Fortun, F. Aymanns, M. Unser, A. Cammarato, M.H. Dickinson, P. Ramdya, "Imaging Neural Activity in the Ventral Nerve Cord of Behaving Adult Drosophila," Nature Communications, vol. 9, paper no. 4390, pp. 110, October 22, 2018.

J. Min, K.H. Jin, M. Unser, J.C. Ye, "GridFree Localization Algorithm Using LowRank Hankel Matrix for SuperResolution Microscopy," IEEE Transactions on Image Processing, vol. 27, no. 10, pp. 47714786, October 2018.

H. Gupta, J. Fageot, M. Unser, "ContinuousDomain Solutions of Linear Inverse Problems with Tikhonov versus Generalized TV Regularization," IEEE Transactions on Signal Processing, vol. 66, no. 17, pp. 46704684, September 1, 2018.

A. Amini, R. Madani, M. Unser, "A Universal Formula for Generalized Cardinal BSplines," Applied and Computational Harmonic Analysis, vol. 45, no. 2, pp. 341358, September 2018.

H. Gupta, K.H. Jin, H.Q. Nguyen, M.T. McCann, M. Unser, "CNNBased Projected Gradient Descent for Consistent CT Image Reconstruction," IEEE Transactions on Medical Imaging, vol. 37, no. 6, pp. 14401453, June 2018.

H. Choi, K.H. Jin, "Predicting Cognitive Decline with Deep Learning of Brain Metabolism and Amyloid Imaging," Behavioural Brain Research, vol. 344, pp. 103109, May 15, 2018.

D. Fortun, P. Guichard, V. Hamel, C.Ó.S. Sorzano, N. Banterle, P. Gönczy, M. Unser, "Reconstruction from Multiple Particles for 3D Isotropic Resolution in Fluorescence Microscopy," IEEE Transactions on Medical Imaging, vol. 37, no. 5, pp. 12351246, May 2018.

N. Scher, J. Castelli, A. Depeursinge, J. Bourhis, J.O. Prior, F.G. Herrera, M. Ozsahin, "(^{18}F)FDG PET/CT Parameters to Predict Survival and Recurrence in Patients with Locally Advanced Cervical Cancer Treated with Chemoradiotherapy," Cancer/Radiothérapie, vol. 22, no. 3, pp. 229235, May 2018.

M. Rostykus, F. Soulez, M. Unser, C. Moser, "Compact InLine Lensfree Digital Holographic Microscope," Methods, vol. 136, pp. 1723, March 1, 2018.

K.H. Jin, J.C. Ye, "Sparse and LowRank Decomposition of a Hankel Structured Matrix for Impulse Noise Removal," IEEE Transactions on Image Processing, vol. 27, no. 3, pp. 14481461, March 2018.

R. Joyseeree, H. Müller, A. Depeursinge, "RotationCovariant Tissue Analysis for Interstitial Lung Diseases Using Learned Steerable Filters: Performance Evaluation and Relevance for Diagnostic Aid," Computerized Medical Imaging and Graphics, vol. 64, pp. 111, March 2018.

J. Lim, A. Goy, M.H. Shoreh, M. Unser, D. Psaltis, "Learning Tomography Assessed Using Mie Theory," Physical Review Applied, vol. 9, no. 3, pp. 0340271–03402714, March 2018.

H.Q. Nguyen, E. Bostan, M. Unser, "Learning Convex Regularizers for Optimal Bayesian Denoising," IEEE Transactions on Signal Processing, vol. 66, no. 4, pp. 10931105, February 15, 2018.

T.a. Pham, E. Soubies, A. Goy, J. Lim, F. Soulez, D. Psaltis, M. Unser, "Versatile Reconstruction Framework for Diffraction Tomography with Intensity Measurements and Multiple Scattering," Optics Express, vol. 26, no. 3, pp. 27492763, February 5, 2018.

V. Uhlmann, C. Haubold, F.A. Hamprecht, M. Unser, "DiversePathsJ: Diverse Shortest Paths for Bioimage Analysis," Bioinformatics, vol. 34, no. 3, pp. 538540, February 1, 2018.

A. Loddo, C. Di Ruberto, M. Kocher, "Recent Advances of Malaria Parasites Detection Systems Based on Mathematical Morphology," Sensors, vol. 18, no. 2, paper no. 513, pp. 121, February 2018.

D. Schmitter, M. Unser, "LandmarkBased Shape Encoding and SparseDictionary Learning in the Continuous Domain," IEEE Transactions on Image Processing, vol. 27, no. 1, pp. 365378, January 2018.
2017
Journal Articles • 2017 • 2018

H. Deschout, I. Platzman, D. Sage, L. Feletti, J.P. Spatz, A. Radenovic, "Investigating Focal Adhesion Substructures by Localization Microscopy," Biophysical Journal, vol. 113, no. 11, pp. 25082518, December 5, 2017.

R. Schorer, A. Badoual, B. Bastide, A. Vandebrouck, M. Licker, D. Sage, "A Feasability Study of Color Flow Doppler Vectorization for Automated Blood Flow Monitoring," Journal of Clinical Monitoring and Computing, vol. 31, no. 6, pp. 11671175, December 2017.

M. Unser, J. Fageot, J.P. Ward, "Splines Are Universal Solutions of Linear Inverse Problems with Generalized TV Regularization," SIAM Review, vol. 59, no. 4, pp. 769793, December 2017.

A. Badoual, P. Novara, L. Romani, D. Schmitter, M. Unser, "A NonStationary Subdivision Scheme for the Construction of Deformable Models with SphereLike Topology," Graphical Models, vol. 94, pp. 3851, November 2017.

M.T. McCann, K.H. Jin, M. Unser, "Convolutional Neural Networks for Inverse Problems in Imaging—A Review," IEEE Signal Processing Magazine, vol. 34, no. 6, pp. 8595, November 2017.

D. Schmitter, J. Fageot, A. Badoual, P. GarciaAmorena, M. Unser, "CompactlySupported Smooth Interpolators for Shape Modeling with Varying Resolution," Graphical Models, vol. 94, pp. 5264, November 2017.

M.T. McCann, M. Unser, "HighQuality ParallelRay xRay CT Back Projection Using Optimized Interpolation," IEEE Transactions on Image Processing, vol. 26, no. 10, pp. 46394647, October 2017.

D. Schmitter, M. Unser, "Shape Projectors for LandmarkBased Spline Curves," IEEE Signal Processing Letters, vol. 24, no. 10, pp. 15171521, October 2017.

M. Storath, D. Rickert, M. Unser, A. Weinmann, "Fast Segmentation from Blurred Data in 3D Fluorescence Microscopy," IEEE Transactions on Image Processing, vol. 26, no. 10, pp. 48564870, October 2017.

E. Soubies, T.A. Pham, M. Unser, "Efficient Inversion of MultipleScattering Model for Optical Diffraction Tomography," Optics Express, vol. 25, no. 8, pp. 2178621800, September 4, 2017.

K.H. Jin, M.T. McCann, E. Froustey, M. Unser, "Deep Convolutional Neural Network for Inverse Problems in Imaging," IEEE Transactions on Image Processing, vol. 26, no. 9, pp. 45094522, September 2017.

P. Pad, K. Alishahi, M. Unser, "Optimized Wavelet Denoising for SelfSimilar αStable Processes," IEEE Transactions on Information Theory, vol. 63, no. 9, pp. 55295543, September 2017.

D. Schmitter, P. GarcíaAmorena, M. Unser, "Smooth Shapes with Spherical Topology: Beyond Traditional Modeling, Efficient Deformation, and Interaction," Computational Visual Media, vol. 3, no. 3, pp. 199215, September 2017.

M. Storath, A. Weinmann, M. Unser, "JumpPenalized Least Absolute Values Estimation of Scalar or CircleValued Signals," Information and Inference: A Journal of the IMA, vol. 6, no. 3, pp. 225245, September 2017.

L. Donati, M. Nilchian, S. Trépout, C. Messaoudi, S. Marco, M. Unser, "Compressed Sensing for STEM Tomography," Ultramicroscopy, vol. 179, pp. 4756, August 2017.

H.Q. Nguyen, M. Unser, "A Sampling Theory for NonDecaying Signals," Applied and Computational Harmonic Analysis, vol. 43, no. 1, pp. 7693, July 2017.

J. Castelli, A. Depeursinge, B. de Bari, A. Devillers, R. de Crevoisier, J. Bourhis, J.O. Prior, "Metabolic Tumor Volume and Total Lesion Glycolysis in Oropharyngeal Cancer Treated with Definitive Radiotherapy—Which Threshold Is the Best Predictor of Local Control?," Clinical Nuclear Medicine, vol. 42, no. 6, pp. e281e285, June 2017.

J. Fageot, A. Fallah, M. Unser, "Multidimensional Lévy White Noise in Weighted Besov Spaces," Stochastic Processes and Their Applications, vol. 127, no. 5, pp. 15991621, May 2017.

V. Uhlmann, P. Ramdya, R. DelgadoGonzalo, R. Benton, M. Unser, "FlyLimbTracker: An Active Contour Based Approach for Leg Segment Tracking in Unmarked, Freely Behaving Drosophila," PLoS ONE, vol. 12, no. 4, pp. 121, April 28, 2017.

J. Castelli, A. Depeursinge, V. Ndoh, J.O. Prior, M. Ozsahin, A. Devillers, H. Bouchaab, E. Chajon, R. de Crevoisier, N. Scher, F. Jegoux, B. Laguerre, B. De Bari, J. Bourhis, "A PETBased Nomogram for Oropharyngeal Cancers," European Journal of Cancer, vol. 75, pp. 222230, April 2017.

Y.D. Cid, H. Müller, A. Platon, P.A. Poletti, A. Depeursinge, "3D Solid Texture Classification Using LocallyOriented Wavelet Transforms," IEEE Transactions on Image Processing, vol 26, no. 4, pp. 18991910, April 2017.

A. Depeursinge, Z. Püspöki, J.P. Ward, M. Unser, "Steerable Wavelet Machines (SWM): Learning Moving Frames for Texture Classification," IEEE Transactions on Image Processing, vol. 26, no. 4, pp. 16261636, April 2017.

H.Q. Nguyen, M. Unser, J.P. Ward, "Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth," The Journal of Fourier Analysis and Applications, vol. 23, no. 2, pp. 442461, April 2017.

A. Badoual, D. Schmitter, V. Uhlmann, M. Unser, "Multiresolution Subdivision Snakes," IEEE Transactions on Image Processing, vol. 26, no. 3, pp. 11881201, March 2017.

B. Lazareff, J.P. Berger, J. Kluska, J.B. Le Bouquin, M. Benisty, F. Malbet, C. Koen, C. Pinte, W.F. Thi, O. Absil, F. Baron, A. Delboulbé, G. Duvert, A. Isella, L. Jocou, A. Juhasz, S. Kraus, R. Lachaume, F. Ménard, R. MillanGabet, J.D. Monnier, T. Moulin, K. Perraut, S. Rochat, F. Soulez, M. Tallon, É. Thiébaut, W. Traub, G. Zins, "Structure of Herbig AeBe Disks at the milliarcsecond Scale—A Statistical Survey in the H Band Using PIONIERVLTI," Astronomy & Astrophysics, Worldwide Astronomical and Astrophysical Research, vol. 599, paper no. A85, pp. 141, March 2017.

M. Storath, L. Demaret, P. Massopust, "Signal Analysis Based on Complex Wavelet Signs," Applied and Computational Harmonic Analysis, vol. 42, no. 2, pp. 199223, March 2017.

M. Rostykus, F. Soulez, M. Unser, C. Moser, "Compact Lensless Phase Imager," Optics Express, vol. 25, no. 4, pp. 44384445, February 20, 2017.

V. Petrenko, C. Saini, L. Giovannoni, C. Gobet, D. Sage, M. Unser, M.H. Masson, G. Gu, D. Bosco, F. Gachon, J. Philippe, C. Dibner, "Pancreatic α and βCellular Clocks Have Distinct Molecular Properties and Impact on Islet Hormone Secretion and Gene Expression," Genes & Development, vol. 31, no. 4, pp. 383398, February 15, 2017.

D. Sage, L. Donati, F. Soulez, D. Fortun, G. Schmit, A. Seitz, R. Guiet, C. Vonesch, M. Unser, "DeconvolutionLab2: An OpenSource Software for Deconvolution Microscopy," Methods—Image Processing for Biologists, vol. 115, pp. 2841, February 15, 2017.

J.C. Ye, J.M. Kim, K.H. Jin, K. Lee, "Compressive Sampling Using Annihilating FilterBased LowRank Interpolation," IEEE Transactions on Information Theory, vol. 63, no. 2, pp. 777801, February 2017.

K. Wasmer, P.M. Pochon, D. Sage, J.H. Giovanola, "Parametric Experimental Study and Design of Experiment Modelling of Sapphire Grinding," Journal of Cleaner Production, vol. 141, pp. 323335, January 10, 2017.

J. Fageot, M. Unser, J.P. Ward, "On the Besov Regularity of Periodic Lévy Noises," Applied and Computational Harmonic Analysis, vol. 42, no, 1, pp. 2136, January 2017.

S. Rangan, A.K. Fletcher, P. Schniter, U.S. Kamilov, "Inference for Generalized Linear Models via Alternating Directions and Bethe Free Energy Minimization," IEEE Transactions on Information Theory, vol. 63, no. 1, pp. 676697, January 2017.
