# Publications

## Sparse estimation of model-based diffuse thermal dust emission

Authors: M.O. Irfan, J.Bobin  Journal: MNRAS Year: 2017 Download: ADS | arXiv Abstract Component separation for the Planck HFI data is primarily concerned with the estimation of thermal dust emission,

## Origins of weak lensing systematics, and requirements on future instrumentation (or knowledge of instrumentation)

Authors: R. Massey, H. Hoekstra, T. Kitching, ..., S. Pires et al. Journal: MNRAS Year: 2013 Download: ADS | arXiv Abstract The first half of this paper explores the origin of systematic

## A PCA-based automated finder for galaxy-scale strong lenses

Authors: R. Joseph, F. Courbin, R. B. Metcalf, ...., S.Pires, et al. Journal: A&A Year: 2014 Download: ADS | arXiv Abstract We present an algorithm using principal component analysis (PCA) to

## Sparsely sampling the sky: Regular vs. random sampling

Authors: P. Paykari, S. Pires, J.-L. Starck, A.H. Jaffe Journal: Astronomy & Astrophysics Year: 2009 Download: ADS | arXiv Abstract Weak gravitational lensing provides a unique way of mapping directly the dark

## Dealing with missing data: An inpainting application to the MICROSCOPE space mission

Authors: B. Joël, S. Pires, Q. Baghi, P. Touboul, G. Metris Journal: Physical Review D Year: 2015 Download: ADS | arXiv Abstract Missing data are a common problem in

• ### Sparse estimation of model-based diffuse thermal dust emission

Authors: M.O. Irfan, J.Bobin  Journal: MNRAS Year: 2017 Download: ADS | arXiv Abstract Component separation for the Planck HFI data is primarily concerned with the estimation of thermal dust emission, which requires the separation of thermal dust from the cosmic infrared background (CIB). For that purpose, current estimation methods rely …
• ### Origins of weak lensing systematics, and requirements on future instrumentation (or knowledge of instrumentation)

Authors: R. Massey, H. Hoekstra, T. Kitching, ..., S. Pires et al. Journal: MNRAS Year: 2013 Download: ADS | arXiv Abstract The first half of this paper explores the origin of systematic biases in the measurement of weak gravitational lensing. Compared to previous work, we expand the investigation of point spread function …
• ### A PCA-based automated finder for galaxy-scale strong lenses

Authors: R. Joseph, F. Courbin, R. B. Metcalf, ...., S.Pires, et al. Journal: A&A Year: 2014 Download: ADS | arXiv Abstract We present an algorithm using principal component analysis (PCA) to subtract galaxies from imaging data and also two algorithms to find strong, galaxy-scale gravitational lenses in the resulting residual image. …
• ### Sparsely sampling the sky: Regular vs. random sampling

Authors: P. Paykari, S. Pires, J.-L. Starck, A.H. Jaffe Journal: Astronomy & Astrophysics Year: 2009 Download: ADS | arXiv Abstract Weak gravitational lensing provides a unique way of mapping directly the dark matter in the Universe. The majority of lensing analyses use the two-point statistics of the cosmic shear field to constrain …
• ### Dealing with missing data: An inpainting application to the MICROSCOPE space mission

Authors: B. Joël, S. Pires, Q. Baghi, P. Touboul, G. Metris Journal: Physical Review D Year: 2015 Download: ADS | arXiv Abstract Missing data are a common problem in experimental and observational physics. They can be caused by various sources, either an instrument's saturation, or a contamination from an external event, …
• ### Dealing with missing data in the MICROSCOPE space mission: An adaptation of inpainting to handle colored-noise data

Authors: S. Pires, B. Joël, Q. Baghi, P. Touboul, G. Metris Journal: Physical Review D Year: 2016 Download: ADS | arXiv Abstract The MICROSCOPE space mission, launched on April 25, 2016, aims to test the weak equivalence principle (WEP) with a 10-15 precision. Reaching this performance requires an accurate and robust …
• ### High Resolution Weak Lensing Mass-Mapping Combining Shear and Flexion

Authors: F. Lanusse, J.-L. Starck, A. Leonard, S. Pires Journal: A&A Year: 2016 Download: ADS | arXiv Abstract Aims: We propose a new mass mapping algorithm, specifically designed to recover small-scale information from a combination of gravitational shear and flexion. Including flexion allows us to supplement the shear on small scales in …
• ### Dark Energy Survey Year 1 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing

Authors: DES Collaboration Journal:   Year: 08/2017 Download: ADS| Arxiv Abstract We present cosmological results from a combined analysis of galaxy clustering and weak gravitational lensing, using 1321 deg$^2$ of $griz$ imaging data from the first year of the Dark Energy Survey (DES Y1). We combine three two-point functions: …
• ### Dark Energy Survey Year 1 Results: Curved-Sky Weak Lensing Mass Map

Authors: C. Chang, A. Pujol, B. Mawdsley et al. Journal:   Year: 08/2017 Download: ADS| Arxiv Abstract We construct the largest curved-sky galaxy weak lensing mass map to date from the DES first-year (DES Y1) data. The map, about 10 times larger than previous work, is constructed over a contiguous …
• ### Sparse reconstruction of the merging A520 cluster system

Sparse reconstruction of the merging A520 cluster system  Authors: A. Peel, F. Lanusse, J.-L. Starck Journal: submitted to ApJ Year: 08/2017 Download: ADS| Arxiv Abstract Merging galaxy clusters present a unique opportunity to study the properties of dark matter in an astrophysical context. These are rare and extreme cosmic events …
• ### Shear measurement bias: dependencies on methods, simulation parameters and measured parameters

Authors: A. Pujol, F. Sureau, J. Bobin et al. Journal: A&A Year: 06/2017 Download: ADS| Arxiv Abstract We present a study of the dependencies of shear and ellipticity bias on simulation (input) and measured (output) parameters, noise, PSF anisotropy, pixel size and the model bias coming from two different and …
• ### Unsupervised feature learning for galaxy SEDs with denoising autoencoders

Authors: Frontera-Pons, J., Sureau, F., Bobin, J. and Le Floc'h E. Journal: Astronomy & Astrophysics Year: 2017 Download: ADS | arXiv Abstract With the increasing number of deep multi-wavelength galaxy surveys, the spectral energy distribution (SED) of galaxies has become an invaluable tool for studying the formation of their structures …
• ### Quantifying systematics from the shear inversion on weak-lensing peak counts

Authors: C. Lin, M. Kilbinger Journal: Submitted to A&A letters Year: 2017 Download: ADS | arXiv   Abstract Weak-lensing (WL) peak counts provide a straightforward way to constrain cosmology, and results have been shown promising. However, the importance of understanding and dealing with systematics increases as data quality reaches an unprecedented …
• ### PSF field learning based on Optimal Transport Distances

Authors: F. Ngolè Mboula, J-L. Starck Journal: arXiv Year: 2017 Download: ADS | arXiv   Abstract Context: in astronomy, observing large fractions of the sky within a reasonable amount of time implies using large field-of-view (fov) optical instruments that typically have a spatially varying Point Spread Function (PSF). Depending on …
• ### Joint Multichannel Deconvolution and Blind Source Separation

Authors: M. Jiang, J. Bobin, J-L. Starck Journal: SIAM J. Imaging Sci. Year: 2017 Download: ADS | arXiv | SIIMS   Abstract Blind Source Separation (BSS) is a challenging matrix factorization problem that plays a central role in multichannel imaging science. In a large number of applications, such as astrophysics, current …
• ### Space variant deconvolution of galaxy survey images

Authors: S. Farrens, J-L. Starck, F. Ngolè Mboula Journal: A&A Year: 2017 Download: ADS | arXiv Abstract Removing the aberrations introduced by the Point Spread Function (PSF) is a fundamental aspect of astronomical image processing. The presence of noise in observed images makes deconvolution a nontrivial task that necessitates the …
• ### Linear and non-linear Modified Gravity forecasts with future surveys

Authors: S. Casas, M. Kunz, M. Martinelli, V. Pettorino Journal: Physics Letters B Year: 2017 Download: ADS | arXiv Abstract Modified Gravity theories generally affect the Poisson equation and the gravitational slip (effective anisotropic stress) in an observable way, that can be parameterized by two generic functions (η and μ) …
• ### Weak-lensing projections

Authors: M. Kilbinger, C. Heymans et al. Journal: submitted to MNRAS Year: 2017 Download: ADS | arXiv Abstract We compute the spherical-sky weak-lensing power spectrum of the shear and convergence. We discuss various approximations, such as flat-sky, and first- and second- order Limber equations for the projection. We find that the …
• ### nIFTy Cosmology: the clustering consistency of galaxy formation models

Authors: A. Pujol, R. A. Skibba, E. Gaztañaga et al. Journal: MNRAS Year: 02/2017 Download: ADS| Arxiv Abstract We present a clustering comparison of 12 galaxy formation models (including Semi-Analytic Models (SAMs) and Halo Occupation Distribution (HOD) models) all run on halo catalogues and merger trees extracted from a single …
• ### What determines large scale galaxy clustering: halo mass or local density?

Authors: A. Pujol, K. Hoffmann, N. Jiménez et al. Journal: A&A Year: 02/2017 Download: ADS| Arxiv Abstract Using a dark matter simulation we show how halo bias is determined by local density and not by halo mass. This is not totally surprising as, according to the peak-background split model, local …
• ### Cosmological constraints with weak-lensing peak counts and second-order statistics in a large-field survey

Authors: A. Peel, C.-A. Lin, F. Lanusse, A. Leonard, J.-L. Starck, M. Kilbinger Journal: A&A Year: 2017 Download: ADS | arXiv   Abstract Peak statistics in weak lensing maps access the non-Gaussian information contained in the large-scale distribution of matter in the Universe. They are therefore a promising complement to …
• ### A new method to measure galaxy bias by combining the density and weak lensing fields

Authors: A. Pujol, C. Chang, E. Gaztañaga et al. Journal: MNRAS Year: 10/2016 Download: ADS| Arxiv Abstract We present a new method to measure redshift-dependent galaxy bias by combining information from the galaxy density field and the weak lensing field. This method is based on the work of Amara et …
• ### Blind separation of sparse sources in the presence of outliers

Authors: C.Chenot, J.Bobin Journal: Signal Processing, Elsevier Year: 2016 Download: Elsevier / Preprint     Abstract   Blind Source Separation (BSS) plays a key role to analyze multichannel data since it aims at recovering unknown underlying elementary sources from observed linear mixtures in an unsupervised way. In a large number of …
• ### A new model to predict weak-lensing peak counts III. Filtering technique comparisons

Authors: C. Lin, M. Kilbinger, S. Pires Journal: A&A Year: 2016 Download: ADS | arXiv Abstract This is the third in a series of papers that develop a new and flexible model to predict weak-lensing (WL) peak counts, which have been shown to be a very valuable non-Gaussian probe of cosmology. …
• ### Constraint matrix factorization for space variant PSFs field restoration

Authors: F. Ngolè Mboula, J-L. Starck, K. Okumura, J. Amiaux, P. Hudelot Journal: IOP Inverse Problems Year: 2016 Download: ADS | arXiv   Abstract Context: in large-scale spatial surveys, the Point Spread Function (PSF) varies across the instrument field of view (FOV). Local measurements of the PSFs are given by …
• ### The Dark Energy Survey and operations: years 1 to 3

Authors: H. T. Diehl, E. Neilsen, R. Gruendl et al. Journal: Proceedings of the SPIE Year: 07/2016 Download: ADS Abstract The Dark Energy Survey (DES) is an operating optical survey aimed at understanding the accelerating expansion of the universe using four complementary methods: weak gravitational lensing, galaxy cluster counts, baryon …
• ### Galaxy bias from the Dark Energy Survey Science Verification data: combining galaxy density maps and weak lensing maps

Authors: C. Chang, A. Pujol, E. Gaztañaga et al. Journal: MNRAS Year: 07/2016 Download: ADS| Arxiv Abstract We measure the redshift evolution of galaxy bias for a magnitude-limited galaxy sample by combining the galaxy density maps and weak lensing shear maps for a ˜116 deg2 area of the Dark Energy …
• ### Clustering-based redshift estimation: application to VIPERS/CFHTLS

Authors: V. Scottez, Y. Mellier, B. Granett, T. Moutard, M. Kilbinger et al. Journal: MNRAS Year: 2016 Download: ADS | arXiv   Abstract We explore the accuracy of the clustering-based redshift estimation proposed by Ménard et al. when applied to VIMOS Public Extragalactic Redshift Survey (VIPERS) and Canada-France-Hawaii Telescope Legacy Survey …
• ### Variational Bayes Group Sparse Time-Adaptive Parameter Estimation With Either Known or Unknown Sparsity Pattern

Authors: K. E. Themelis, A. A. Rontogiannis, K. D. Koutroumbas Journal: IEEE Transactions on Signal Processing Year: 2016 Download: ieeexplore     Abstract In this paper, we study the problem of time-adaptive group sparse signal estimation from a Bayesian viewpoint. We propose two online variational Bayes schemes that are …
• ### Simultaneously sparse and low-rank abundance matrix estimation for hyperspectral image unmixing

Authors: P. V. Giampouras, K. E. Themelis, A. A. Rontogiannis, K. D. Koutroumbas Journal: IEEE Transactions on Geoscience and Remote Sensing Year: 2016 Download: ieeexplore     Abstract In a plethora of applications dealing with inverse problems, e.g., image processing, social networks, compressive sensing, and biological data processing, the …
• ### The XXL Survey

First round of papers published The XXL Survey is a deep X-ray survey observed with the XMM satellite, covering two fields of 25 deg2 each. Observations in many other wavelength, from radio to IR and optical, in both imaging and spectroscopy, complement the survey. The main science case is cosmology …
• ### CMB reconstruction from the WMAP and Planck PR2 data

Authors:  J. Bobin, F. Sureau and J. -L. Starck Journal: A&A Year: 2015 Download: ADS | arXiv Abstract In this article, we describe a new estimate of the Cosmic Microwave Background (CMB) intensity map reconstructed by a joint analysis of the full Planck 2015 data (PR2) and WMAP nine-years. It …
• ### A new model to predict weak-lensing peak counts II. Parameter constraint strategies

Authors: C. Lin, M. Kilbinger Journal: A&A Year: 2015 Download: ADS | arXiv Abstract Peak counts have been shown to be an excellent tool to extract the non-Gaussian part of the weak lensing signal. Recently, we developped a fast stochastic forward model to predict weak-lensing peak counts. Our model is able …
• ### nIFTy cosmology: comparison of galaxy formation models

Authors: A. Knebe, F. R. Pearce, P. A. Thomas et al. Journal: MNRAS  Year: 08/2015 Download: ADS|Arxiv Abstract We present a comparison of 14 galaxy formation models: 12 different semi-analytical models and 2 halo occupation distribution models for galaxy formation based upon the same cosmological simulation and merger tree information …
• ### Robust Sparse Blind Source Separation

Authors: C.Chenot, J.Bobin and J. Rapin Journal: IEEE SPL  Year: Nov. 2015 Download: IEEE Arxiv Abstract Blind source separation is a widely used technique to analyze multichannel data. In many real-world applications, its results can be significantly hampered by the presence of unknown outliers. In this paper, a novel algorithm …
• ### CFHTLenS: A Gaussian likelihood is a sufficient approximation for a cosmological analysis of third-order cosmic shear statistics

Authors: P. Simon, ... , M. Kilbinger,  et al. Journal: MNRAS Year: 2015 Download: ADS | arXiv Abstract We study the correlations of the shear signal between triplets of sources in the Canada-France-Hawaii Lensing Survey (CFHTLenS) to probe cosmological parameters via the matter bispectrum. In contrast to previous studies, we adopted a …
• ### A new model to predict weak-lensing peak counts I. Comparison with N-body Simulations

Authors: C. Lin, M. Kilbinger Journal: A&A Year: 2015 Download: ADS | arXiv Abstract Weak-lensing peak counts has been shown to be a powerful tool for cosmology. It provides non-Gaussian information of large scale structures, complementary to second order statistics. We propose a new flexible method to predict weak lensing peak …
• ### LOFAR Sparse Image Reconstruction

Authors: H. Garsden, J. N. Girard, J. L. Starck Journal: A&A Year: 2015 Download: ADS | arXiv   Abstract Context. The LOw Frequency ARray (LOFAR) radio telescope is a giant digital phased array interferometer with multiple antennas distributed in Europe. It provides discrete sets of Fourier components of the sky …
• ### Super-resolution method using sparse regularization for point-spread function recovery

Authors: F. Ngolè Mboula, J-L. Starck, S. Ronayette, K. Okumura, J. Amiaux Journal: A&A Year: 2015 Download: ADS | arXiv   Abstract In large-scale spatial surveys, such as the forthcoming ESA Euclid mission, images may be undersampled due to the optical sensors sizes. Therefore, one may consider using a super-resolution …
• ### The C-Band All Sky Survey: Separation of Diffuse Galactic Emissions at 5 GHz

Authors: M.O. Irfan, C. Dickinson, R.D. Davies, et al.     Journal: MNRAS Year: 2015 Download: ADS | arXiv Abstract We present an analysis of the diffuse emission at 5 GHz in the first quadrant of the Galactic plane using two months of preliminary intensity data taken with the C-Band …
• ### A new model to predict weak-lensing peak counts I. Comparison with N-body Simulations

Authors: C.-A. Lin, M. Kilbinger. Journal: A&A 576, A24 Year: 2015 Download: ADS | arXiv   Abstract Weak-lensing peak counts has been shown to be a powerful tool for cosmology. It provides non-Gaussian information of large scale structures, complementary to second order statistics. We propose a new flexible method to predict …
• ### SNIa detection in the SNLS photometric analysis using Morphological Component Analysis

Authors: A. Möller, V. Ruhlmann-Kleider, F. Lanusse, J. Neveu, N. Palanque-Delabrouille, J.-L. Starck Journal: JCAP Year: 2015 Download: ADS | arXiv Abstract Detection of supernovae and, more generally, of transient events in large surveys can provide numerous false detections.In the case of a deferred processing of survey images, this implies …
• ### Effect of inhomogeneities on high precision measurements of cosmological distances

Authors: A. Peel, M. A. Troxel, M. Ishak Journal: PRD Year: 2014 Download: ADS | arXiv Abstract We study effects of inhomogeneities on distance measures in an exact relativistic Swiss-cheese model of the Universe, focusing on the distance modulus. The model has Λ CDM background dynamics, and the "holes" are …
• ### PRISM: Recovery of the primordial spectrum from Planck data

Authors:  F. Lanusse, P. Paykari, J. -L. Starck et al. Journal: A&A Year: 2014 Download: ADS | arXiv Abstract Aims. The primordial power spectrum describes the initial perturbations that seeded the large-scale structure we observe today. It provides an indirect probe of inflation or other structure-formation mechanisms. In this letter, …
• ### Gap interpolation by inpainting methods : Application to Ground and Space-based Asteroseismic data

Authors: S. Pires, S. Mathur, R. A. Garcia, J. Ballot, D. Stello, K. Sato Journal: Astronomy & Astrophysics Year: 2014 Download: ADS | arXiv Abstract In asteroseismology, the observed time series often suffers from incomplete time coverage due to gaps. The presence of periodic gaps may generate spurious peaks in …
• ### Friction in Gravitational Waves: a test for early-time modified gravity

Authors: Pettorino, V., Amendola, L. Journal: Physics Letters B Year: 2015 Download: ADS | arXiv Abstract Modified gravity theories predict in general a non standard equation for the propagation of gravitational waves. Here we discuss the impact of modified friction and speed of tensor modes on cosmic microwave polarization B modes. …
• ### The Dark Energy Survey and operations: Year 1

Authors: H. T. Diehl, T. M. C. Abbott, J. Annis et al. Journal: Proceedings of the SPIE Year: 08/2014 Download: ADS Abstract The Dark Energy Survey (DES) is a next generation optical survey aimed at understanding the accelerating expansion of the universe using four complementary methods: weak gravitational lensing, …
• ### Are the halo occupation predictions consistent with large-scale galaxy clustering?

Authors: A. Pujol and E. Gaztañaga Journal: MNRAS  Year: 08/2014 Download: ADS|Arxiv Abstract We study how well we can reconstruct the two-point clustering of galaxies on linear scales, as a function of mass and luminosity, using the halo occupation distribution (HOD) in several semi-analytical models (SAMs) of galaxy formation …
• ### 3D Cosmic Shear: Cosmology from CFHTLenS

Authors: T. D. Kitching, ... , M. Kilbinger, et al. Journal: MNRAS Year: 2014 Download: ADS | arXiv Abstract This paper presents the first application of 3D cosmic shear to a wide-field weak lensing survey. 3D cosmic shear is a technique that analyses weak lensing in three dimensions using a spherical harmonic …
• ### NMF with Sparse Regularizations in Transformed Domains

Authors: J. Rapin, J. Bobin, A. Larue, J.-L. Starck Journal: SIAM Year: 2014 Download: ADS | arXiv Abstract Non-negative blind source separation (BSS) has raised interest in various fields of research, as testified by the wide literature on the topic of non-negative matrix factorization (NMF). In this context, it is fundamental that the …
• ### CFHTLenS: Cosmological constraints from a combination of cosmic shear two-point and three-point correlations

Authors: L. Fu, M. Kilbinger, T. Erben, C. Heymans,  et al. Journal: MNRAS Year: 2014 Download: ADS | arXiv Abstract Higher-order, non-Gaussian aspects of the large-scale structure carry valuable information on structure formation and cosmology, which is complementary to second-order statistics. In this work we measure second- and third-order weak-lensing aperture-mass moments from CFHTLenS and …
• ### A Variational Bayes Framework for Sparse Adaptive Estimation

Authors: K. E. Themelis, A. A. Rontogiannis, K. D. Koutroumbas Journal: IEEE Transactions on Signal Processing Year: 2014 Download: ieeexplore     Abstract Recently, a number of mostly l1-norm regularized least-squares-type deterministic algorithms have been proposed to address the problem of sparse adaptive signal estimation and system identification. From …
• ### Impact on asteroseismic analyses of regular gaps in Kepler data

Authors: R.A. Garcıa, S. Mathur, S. Pires, et al. Journal: Astronomy & Astrophysics Year: 2014 Download: ADS | arXiv Abstract The NASA Kepler mission has observed more than 190,000 stars in the constellations of Cygnus and Lyra. Around 4 years of almost continuous ultra high-precision photometry have been obtained reaching …
• ### Sparse point-source removal for full-sky CMB experiments: application to WMAP 9-year data

Authors:  F. C. Sureau, J. -L. Starck, J. Bobin et al.  Journal: A&A Year: 2014 Download: ADS | arXiv Abstract Missions such as WMAP or Planck measure full-sky fluctuations of the cosmic microwave background and foregrounds, among which bright compact source emissions cover a significant fraction of the sky. To …
• ### Planck CMB Anomalies: Astrophysical and Cosmological Secondary Effects and the Curse of Masking

Authors:  A. Rassat, J. -L. Starck , P. Paykari et al. Journal: JCAP Year: 2014 Download: ADS | arXiv Abstract Large-scale anomalies have been reported in CMB data with both WMAP and Planck data. These could be due to foreground residuals and or systematic effects, though their confirmation with Planck data …
• ### GLIMPSE: Accurate 3D weak lensing reconstructions using sparsity

Authors: A. Leonard, F. Lanusse, J.-L. Starck Journal: MNRAS Year: 2014 Download: ADS | arXiv Abstract We present GLIMPSE - Gravitational Lensing Inversion and MaPping with Sparse Estimators - a new algorithm to generate density reconstructions in three dimensions from photometric weak lensing measurements. This is an extension of earlier work in one …
• ### Subhaloes gone Notts: the clustering properties of subhaloes

Authors: A. Pujol, E. Gaztañaga,  C. Giocoli et al. Journal: MNRAS  Year: 03/2014 Download: ADS|Arxiv Abstract We present a study of the substructure finder dependence of subhalo clustering in the Aquarius Simulation. We run 11 different subhalo finders on the haloes of the Aquarius Simulation and study their differences in the …
• ### PRISM: Sparse Recovery of the Primordial Power Spectrum

Authors: P. Paykari, F. Lanusse, J. -L. Starck et al. Journal: A&A Year: 2014 Download: ADS | arXiv Abstract Aims. The primordial power spectrum describes the initial perturbations in the Universe which eventually grew into the large-scale structure we observe today, and thereby provides an indirect probe of inflation or …
• ### Weak Lensing Galaxy Cluster Field Reconstruction

Authors: E. Jullo, S.Pires, M. Jauzac, J.-P. Kneib Journal: MNRAS Year: 2014 Download: ADS | arXiv Abstract In this paper, we compare three methods to reconstruct galaxy cluster density fields with weak lensing data. The first method called FLens integrates an inpainting concept to invert the shear field with possible gaps, and …
• ### Joint Planck and WMAP CMB Map Reconstruction

Authors: J. Bobin,  F. Sureau, J. -L. Starck et al. Journal: A&A Year: 2014 Download: ADS | arXiv Abstract We present a novel estimate of the cosmological microwave background (CMB) map by combining the two latest full-sky microwave surveys: WMAP nine-year and Planck PR1. The joint processing benefits from a …
• ### Low-dimensional signal-strength fingerprint-based positioning in wireless LANs

Authors: D. Milioris, G. Tzagkarakis, A. Papakonstantinou, M. Papadopouli, P. Tsakalides Journal: Ad Hoc Networks Year: 2011 Download: Science Direct Abstract Accurate location awareness is of paramount importance in most ubiquitous and pervasive computing applications. Numerous solutions for indoor localization based on IEEE802.11, bluetooth, ultrasonic and vision technologies have …
• ### The C-Band All-Sky Survey (C-BASS): design and implementation of the northern receiver

Authors: O. G. King,  Michael E. Jones,  E. J. Blackhurst, et al.     Journal: MNRAS Year: 2014 Download: ADS | arXiv Abstract The C-Band All-Sky Survey (C-BASS) is a project to map the full sky in total intensity and linear polarization at 5 GHz. The northern component of the …
• ### Defining a weak lensing experiment in space

Authors: M. Cropper, H. Hoekstra, T. Kitching, ..., S. Pires et al. Journal: MNRAS Year: 2013 Download: ADS | arXiv Abstract This paper describes the definition of a typical next-generation space-based weak gravitational lensing experiment. We first adopt a set of top-level science requirements from the literature, based on the scale and …
• ### Sparse and Non-Negative BSS for Noisy Data

Authors: J. Rapin, J. Bobin, A. Larue, J.-L. Starck Journal: IEEE Year: 2013 Download: ADS | arXiv Abstract Non-negative blind source separation (BSS) has raised interest in various fields of research, as testified by the wide literature on the topic of non-negative matrix factorization (NMF). In this context, it is fundamental that the …
• ### Darth Fader: Using wavelets to obtain accurate redshifts of spectra at very low signal-to-noise

Authors: D. P. Machado, A. Leonard, J.-L. Starck, F. B. Abdalla, S. Jouvel Journal: A&A Year: 2013 Download: ADS | arXiv Abstract We present the DARTH FADER algorithm, a new wavelet-based method for estimating redshifts of galaxy spectra in spectral surveys that is particularly adept in the very low SNR …
• ### Removal of two large-scale cosmic microwave background anomalies after subtraction of the integrated Sachs-Wolfe effect

Authors: A. Rassat, J. -L. Starck and F. -X. Dupe Journal: A&A Year: 2013 Download: ADS | arXiv Abstract Though debated, the existence of claimed large-scale anomalies in the CMB is not totally dismissed. In parallel to the debate over their statistical significance, recent work focussed on masks and secondary …
• ### CFHTLenS tomographic weak lensing: Quantifying accurate redshift distributions

Authors: J. Benjamin, L. Van Waerbeke, C. Heymans, M. Kilbinger, et al. Journal: MNRAS Year: 2013 Download: ADS | arXiv Abstract The Canada-France-Hawaii Telescope Lensing Survey (CFHTLenS) comprises deep multi-colour (u*g'r'i'z') photometry spanning 154 square degrees, with accurate photometric redshifts and shape measurements. We demonstrate that the redshift probability distribution function …
• ### WMAP 9-year CMB estimation using sparsity

Authors:  J. Bobin, F. Sureau , P. Paykari et al. Journal: A&A Year: 2013 Download: ADS | arXiv Abstract Recovering the cosmic microwave background (CMB) from WMAP data requires that Galactic foreground emissions are accurately separated out. Most component separation techniques rely on second-order statistics such as internal linear combination …
• ### On Preferred Axes in WMAP Cosmic Microwave Background Data after Subtraction of the Integrated Sachs-Wolfe Effect

Authors:  A. Rassat and J. -L. Starck  Journal: A&A Year: 2013 Download: ADS | arXiv Abstract There is currently a debate over the existence of claimed statistical anomalies in the cosmic microwave background (CMB), recently confirmed in Planck data. Recent work has focussed on methods for measuring statistical significance, on …
• ### CFHTLenS tomographic weak lensing cosmological parameter constraints: Mitigating the impact of intrinsic galaxy alignments

Authors: C. Heymans, E. Grocutt, A. Heavens, M. Kilbinger, et al. Journal: MNRAS Year: 2013 Download: ADS | arXiv Abstract We present a finely-binned tomographic weak lensing analysis of the Canada-France-Hawaii Telescope Lensing Survey, CFHTLenS, mitigating contamination to the signal from the presence of intrinsic galaxy alignments via the simultaneous fit of a cosmological model …
• ### CFHTLenS: Testing the Laws of Gravity with Tomographic Weak Lensing and Redshift Space Distortions

Authors: F. Simpson, C. Heymans, D. Parkinson, C. Blake, M. Kilbinger, et al. Journal: MNRAS Year: 2013 Download: ADS | arXiv Abstract Dark energy may be the first sign of new fundamental physics in the Universe, taking either a physical form or revealing a correction to Einsteinian gravity. Weak gravitational lensing and galaxy peculiar …
• ### The Scale of the Problem : Recovering Images of Reionization with GMCA

Authors: E. Chapman, F. B. Abdalla, J. Bobin, J.-L. Starck Journal: MNRAS Year: 2013 Download: ADS | arXiv Abstract The accurate and precise removal of 21-cm foregrounds from Epoch of Reionization redshifted 21-cm emission data is essential if we are to gain insight into an unexplored cosmological era. We apply a non-parametric …
• ### CFHTLenS: Combined probe cosmological model comparison using 2D weak gravitational lensing

Authors: M. Kilbinger, et al. Journal: MNRAS Year: 2013 Download: ADS | arXiv Abstract We present cosmological constraints from 2D weak gravitational lensing by the large-scale structure in the Canada-France Hawaii Telescope Lensing Survey (CFHTLenS) which spans 154 square degrees in five optical bands. Using accurate photometric redshifts and measured shapes …
• ### Effect of model-dependent covariance matrix for studying Baryon Acoustic Oscillations

Authors: A. Labatie, J.-L. Starck, M. Lachièze-Rey Journal: ApJ Year: 2012 Download: ADS | arXiv Abstract Large-scale structures in the Universe are a powerful tool to test cosmological models and constrain cosmological parameters. A particular feature of interest comes from Baryon Acoustic Oscillations (BAOs), which are sound waves traveling in the …
• ### Active Range Imaging via Random Gating

Authors: G. Tsagkatakis, A. Woiselle, G. Tzagkarakis, M. Bousquet, J.-L. Starck and P. Tsakalides Journal: SPIE Year: 2012 Download: SPIE Abstract Range Imaging (RI) has sparked an enthusiastic interest recently due to the numerous applications that can benefit from the presence 3D data. One of the most successful techniques …
• ### Compressive video classification in a low-dimensional manifold with learned distance metric

Authors: G. Tzagkarakis, G. Tsagkatakis, J.-L. Starck, P. Tsakalides Journal: EUSIPCO Year: 2012 Download: IEEE Abstract In this paper, we introduce an architecture for addressing the problem of video classification based on a set of compressed features, without the need of accessing the original full-resolution video data. In particular, …
• ### On the Unmixing of MeX/OMEGA Hyperspectral Data

Authors: K. E. Themelis, F. Schmidt, O. Sykioti, A. A. Rontogiannis, K. D. Koutroumbas, I. A. Daglis Journal: Planetary and Space Science Year: 2012 Download: elsevier     Abstract This paper presents a comparative study of three different types of estimators used for supervised linear unmixing of two MEx/OMEGA …
• ### Sparse component separation for accurate CMB map estimation

Authors: J. Bobin, J. -L. Starck, F. Sureau, S. Basak Journal: A&A Year: 2012 Download: ADS | arXiv Abstract The Cosmological Microwave Background (CMB) is of premier importance for the cosmologists to study the birth of our universe. Unfortunately, most CMB experiments such as COBE, WMAP or Planck do not …
• ### Wavelet analysis of baryon acoustic structures in the galaxy distribution

Authors: P. Arnalte-Mur, A. Labatie, N. Clerc, V. J. Martínez, J.-L. Starck, et al. Journal: A&A Year: 2012 Download: ADS | arXiv Abstract Baryon Acoustic Oscillations (BAO) are a feature imprinted in the density field by acoustic waves travelling in the plasma of the early universe. Their fixed scale can …
• ### A Novel Hierarchical Bayesian Approach for Sparse Semi-Supervised Hyperspectral Unmixing

Authors: K. E. Themelis, A. A. Rontogiannis, K. D. Koutroumbas Journal: IEEE Transactions on Signal Processing Year: 2012 Download: ieeexplore     Abstract In this paper the problem of semisupervised hyperspectral unmixing is considered. More specifically, the unmixing process is formulated as a linear regression problem, where the abundance’s …
• ### True CMB Power Spectrum Estimation

Authors:  P. Paykari, J. -L. Starck and M. J. Fadili Journal: Astronomy and Astrophysics Year: 2012 Download: ADS | arXiv Abstract The cosmic microwave background (CMB) power spectrum is a powerful cosmological probe as it entails almost all the statistical information of the CMB perturbations. Having access to only one …
• ### Compressive video classification for decision systems with limited resources

Authors: G. Tzagkarakis, P. Charalampidis, G. Tsagkatakis, J.-L. Starck, P. Tsakalides Journal: PCS Year: 2012 Download: IEEE Abstract In this paper, we address the problem of video classification from a set of compressed features. In particular, the properties of linear random projections in the framework of compressive sensing are …
• ### Fast Calculation of the Weak Lensing Aperture Mass Statistic

Authors: A. Leonard, S. Pires, J.-L. Starck Journal: MNRAS Year: 2012 Download: ADS | arXiv Abstract The aperture mass statistic is a common tool used in weak lensing studies. By convolving lensing maps with a filter function of a specific scale, chosen to be larger than the scale on which the …
• ### Galaxy clustering in the CFHTLS-Wide: the changing relationship between galaxies and haloes since z ~ 1.2

Authors: J. Coupon, M. Kilbinger, H. J. McCracken, et al. Journal: A&A Year: 2012 Download: ADS | arXiv Abstract We present a detailed investigation of the changing relationship between galaxies and the dark matter haloes they inhabit from z~1.2 to the present day. We do this by comparing precise galaxy …
• ### Spherical 3D Isotropic Wavelets

Authors: F. Lanusse, A. Rassat, J.-L. Starck Journal: A&A Year: 2012 Download: ADS | arXiv Abstract Future cosmological surveys will provide 3D large scale structure maps with large sky coverage, for which a 3D Spherical Fourier-Bessel (SFB) analysis in spherical coordinates is natural. Wavelets are particularly well-suited to the analysis …
• ### Wavelet Helmholtz decomposition for weak lensing mass map reconstruction

Authors: E. Deriaz, J.-L. Starck, S.Pires Journal: A&A Year: 2012 Download: ADS | arXiv Abstract To derive the convergence field from the gravitational shear (gamma) of the background galaxy images, the classical methods require a convolution of the shear to be performed over the entire sky, usually expressed thanks to the …
• ### Cosmological constraints from the capture of non-Gaussianity in Weak Lensing data

Authors: S. Pires, A. Leonard,  J.-L. Starck Journal: MNRAS Year: 2012 Download: ADS | arXiv Abstract Weak gravitational lensing has become a common tool to constrain the cosmological model. The majority of the methods to derive constraints on cosmological parameters use second-order statistics of the cosmic shear. Despite their success, second-order …
• ### A Compressed Sensing Approach to 3D Weak Lensing

Authors: A. Leonard, F.-X. Dupé, J.-L. Starck Journal: A&A Year: 2012 Download: ADS | arXiv Abstract (Abridged) Weak gravitational lensing is an ideal probe of the dark universe. In recent years, several linear methods have been developed to reconstruct the density distribution in the Universe in three dimensions, making use of photometric …
• ### Design of a Compressive Remote Imaging System Compensating a Highly Lightweight Encoding with a Refined Decoding Scheme

Authors: G. Tzagkarakis, A. Woiselle, P. Tsakalides, J.-L. Starck Journal: VISAPP Year: 2012 Download: Sitepress Abstract Lightweight remote imaging systems have been increasingly used in surveillance and reconnaissance. Nevertheless, the limited power, processing and bandwidth resources is a major issue for the existing solutions, not well addressed by the …
• ### CMB map restoration

Authors: J. Bobin, J. -L. Starck, F. Sureau and J. Fadili Journal: A&A Year: 2012 Download: ADS | arXiv Abstract Estimating the cosmological microwave background is of utmost importance for cosmology. However, its estimation from full-sky surveys such as WMAP or more recently Planck is challenging: CMB maps are generally …
• ### Sparse Solution of Underdetermined Systems of Linear Equations by Stagewise Orthogonal Matching Pursuit

Authors: D. L. Donoho, Y. Tsaig, I. Drori, J.-L. Starck Journal: IEEE Year: 2012 Download: IEEE Abstract Finding the sparsest solution to underdetermined systems of linear equations y = Φx is NP-hard in general. We show here that for systems with “typical”/“random” Φ, a good approximation to the sparsest solution is obtained by …
• ### Detecting Baryon Acoustic Oscillations

Authors: A. Labatie, J.-L. Starck, M. Lachièze-Rey Journal: ApJ Year: 2012 Download: ADS | arXiv Abstract Baryon Acoustic Oscillations are a feature imprinted in the galaxy distribution by acoustic waves traveling in the plasma of the early universe. Their detection at the expected scale in large-scale structures strongly supports current cosmological …
• ### Indoor positioning in Wireless LANS using compressive sensing signal-strength fingerprints

Authors: D. Milioris, G. Tzagkarakis, P. Jacquet Journal: EUSIPCO Year: 2011 Download: IEEE Abstract Accurate indoor localization is a significant task for many ubiquitous and pervasive computing applications, with numerous solutions based on IEEE802.11, Bluetooth, ultrasound and infrared technologies being proposed. The inherent sparsity present in the problem of location …
• ### Joint Sparse Signal Ensemble Reconstruction in a WSN Using Decentralized Bayesian Matching Pursuit

Authors: G. Tzagkarakis, J.-L. Starck, P. Tsakalides Journal: EUSIPCO Year: 2011 Download: IEEE Abstract Wireless networks comprised of low-cost sensory devices have been increasingly used in surveillance both at the civilian and military levels. Limited power, processing, and bandwidth resources is a major issue for abandoned sensors, which should be addressed to …
• ### Measuring the Integrated Sachs-Wolfe Effect

Authors: F. -X. Dupe, A. Rassat, J. -L. Starck and M. J. Fadili Journal: A&A Year: 2011 Download: ADS | arXiv Abstract One of the main challenges of modern cosmology is to understand the nature of dark energy. The Integrated Sachs-Wolfe (ISW) effect is sensitive to dark energy and presents …
• ### Feasibility and performances of compressed-sensing and sparse map-making with Herschel/PACS data

Authors: N. Barbey, M. Sauvage, J.-L. Starck, R. Ottensamer, P. Chanial Journal: A&A Year: 2011 Download: ADS | arXiv Abstract The Herschel Space Observatory of ESA was launched in May 2009 and is in operation since. From its distant orbit around L2 it needs to transmit a huge quantity of information through a very …
• ### 3-D Data Denoising and Inpainting with the Low-Redundancy Fast Curvelet Transform

Authors: A. Woiselle, J.-L. Starck, J. Fadili Journal: Journal of Mathematical Imaging and Vision Year: 2010 Download: Springer Abstract In this paper, we first present a new implementation of the 3-D fast curvelet transform, which is nearly 2.5 less redundant than the Curvelab (wrapping-based) implementation as originally proposed in …
• ### Uncertainty in 2-point correlation function estimators and BAO detection in SDSS DR7

Authors: A. Labatie, J-L. Starck, M. Lachièze-Rey, P. Arnalte-Mur Journal: arXiv Year: 2010 Download: ADS | arXiv Abstract We study the uncertainty in different two-point correlation function (2PCF) estimators in currently available galaxy surveys. This is motivated by the active subject of using the baryon acoustic oscillations (BAOs) feature in the …
• ### Hyperspectral BSS Using GMCA With Spatio-Spectral Sparsity Constraints

Authors: Y, Moudden, J. Bobin Journal: IEEE Year: 2014 Download: IEEE Abstract Non-negative blind source separation (BSS) has raised interest in various fields of research, as testified by the wide literature on the topic of non-negative matrix factorization (NMF). In this context, it is fundamental that the sources to be estimated …
• ### Stein block thresholding for wavelet-based image deconvolution

Authors: C. Chesneau, J. Fadili, J.-L. Starck Journal: Applied and Computational Harmonic Analysis Year: 2010 Download: Project Euclid Abstract In this paper, we propose a fast image deconvolution algorithm that combines adaptive block thresholding and Vaguelet-Wavelet Decomposition. The approach consists in first denoising the observed image using a wavelet-domain Stein …
• ### Reduced-shear power spectrum

Fitting formulae of the reduced-shear power spectrum for weak lensing Reference Martin Kilbinger, 2010, arXiv:1004.3493 Description We provide fitting formulae for the reduced-shear power-spectrum correction which is third-order in the lensing potential. This correction reaches up to 10% of the total lensing spectrum. Higher-order correction terms are one order of …
• ### 3D curvelet transforms and astronomical data restoration

Authors: A. Woiselle, J.-L. Starck, J. Fadili Journal: Applied and Computational Harmonic Analysis Year: 2010 Download: Science Direct Abstract This paper describes two new 3D curvelet decompositions, which are built in a way similar to the first generation of curvelets (Starck et al., 2002 [35]). The first one, called …
• ### Cosmological model discrimination with weak lensing

Authors: S. Pires, J.-L. Starck, A. Amara, A. Réfrégier, R. Teyssier Journal: Astronomy & Astrophysics Year: 2009 Download: ADS Abstract Weak gravitational lensing provides a unique way of mapping directly the dark matter in the Universe. The majority of lensing analyses use the two-point statistics of the cosmic shear field …
• ### Optimes E-/B-mode decomposition

A new cosmic shear function: Optimised E-/B-mode decomposition on a finite interval Reference Liping Fu, Martin Kilbinger, 2009, arXiv:0907.0795 Description We have introduced a new cosmic shear statistic which decomposes the shear correlation into E- and B-modes on a finite angular interval. The new function is calculated by integrating the …
• ### FASTLens (FAst STatistics for weak Lensing) : Fast method for Weak Lensing Statistics and map making

Authors: S. Pires, J.-L. Starck, A. Amara, R. Teyssier, A. Refregier, J. Fadili Journal: MNRAS Year: 2009 Download: ADS | arXiv Abstract With increasingly large data sets, weak lensing measurements are able to measure cosmological parameters with ever greater precision. However this increased accuracy also places greater demands on the …
• ### Full-Sky Weak Lensing Simulation with 70 Billion Particles

Authors: R. Teyssier, S. Pires,  ... , J.-L. Starck et al. Journal: A&A Year: 2009 Download: ADS | arXiv Abstract We have performed a 70 billion dark-matter particles N-body simulation in a 2 h−1 Gpc periodic box, using the concordance, cosmological model as favored by the latest WMAP3 results. We have computed …
• ### Polarized wavelets and curvelets on the sphere

Authors:  J. -L. Starck, Y. Moudden, J. Bobin Journal: Astronomy and Astrophysics Year: 2009 Download: ADS | arXiv Abstract The statistics of the temperature anisotropies in the primordial cosmic microwave background radiation field provide a wealth of information for cosmology and for estimating cosmological parameters. An even more acute inference should …
• ### A proximal iteration for deconvolving Poisson noisy images using sparse representations

Authors: F.-X. Dupé, J. Fadili, J.-L. Starck Journal: IEEE Year: 2009 Download: ADS | arXiv Abstract In this paper, we propose a fast image deconvolution algorithm that combines adaptive block thresholding and Vaguelet-Wavelet Decomposition. The approach consists in first denoising the observed image using a wavelet-domain Stein block thresholding, and then inverting …
• ### Compressed Sensing in Astronomy

Authors: J.Bobin, J-L Starck, R. Ottensamer Journal: IEEE Year: 2008 Download: ADS | arXiv Abstract Recent advances in signal processing have focused on the use of sparse representations in various applications. A new field of interest based on sparsity has recently emerged: compressed sensing. This theory is a new …
• ### SZ and CMB reconstruction using Generalized Morphological Component Analysis

Authors: J. Bobin, Y. Moudden, J.-L. Starck, J. Fadili, N. Aghanim Journal: Statistical Methodology Year: 2008 Download: ADS | arXiv Abstract Non-negative blind source separation (BSS) has raised interest in various fields of research, as testified by the wide literature on the topic of non-negative matrix factorization (NMF). In this …
• ### Blind Source Separation: the Sparsity Revolution

Authors: J. Bobin, J.-L. Starck, Y. Moudden, J. M. Fadili Journal: AIEP Year: 2008 Download: HAL Abstract Over the last few years, the development of multi-channel sensors motivated interest in methods for the coherent processing of multivariate data. Some specific issues have already been addressed as testified by the …
• ### Morphological Component Analysis: An Adaptive Thresholding Strategy

Authors: J. Bobin, J.-L. Starck, J. M. Fadili, Y. Moudden, D. L. Donoho Journal: IEEE Year: 2007 Download: ADS Abstract In a recent paper, a method called morphological component analysis (MCA) has been proposed to separate the texture from the natural part in images. MCA relies on an iterative thresholding algorithm, using a threshold …
• ### Sparsity and Morphological Diversity in Blind Source Separation

Authors: J. Bobin, J.-L. Starck, J. Fadili, Y. Moudden Journal: IEEE Year: 2007 Download: IEEE Abstract Over the last few years, the development of multichannel sensors motivated interest in methods for the coherent processing of multivariate data. Some specific issues have already been addressed as testified by the wide literature on the …
• ### Inpainting and zooming using sparse representations

Authors: J. M. Fadili, J.-L. Starck, F. Murtagh Journal: The Computer Journal Year: 2007 Download: HAL Abstract Representing the image to be inpainted in an appropriate sparse representation dictionary, and combining elements from Bayesian statistics and modern harmonic analysis, we introduce an expectation maximization (EM) algorithm for image inpainting and interpolation. …
• ### Dark matter maps reveal cosmic scaffolding

Authors: R. Massey, ... , J.-L. Starck, ..., S. Pires et al. Journal: Nature Year: 2007 Download: ADS | arXiv Abstract Ordinary baryonic particles (such as protons and neutrons) account for only one-sixth of the total matter in the Universe. The remainder is a mysterious "dark matter" component, which does not interact via …
• ### Multi-scale morphology of the galaxy distribution

Authors: E. Saar, V. J. Martinez, J-L. Starck, D. L. Donoho Journal: MNRAS Year: 2007 Download: ADS | arXiv Abstract Many statistical methods have been proposed in the last years for analyzing the spatial distribution of galaxies. Very few of them, however, can handle properly the border effects of complex …
• ### Sunyaev-Zel'dovich clusters reconstruction in multiband bolometer camera surveys

Authors: S. Pires, D. Yvon, Y. Moudden, S. Anthoine, E. Pierpaoli Journal: A&A Year: 2006 Download: ADS | arXiv Abstract We present a new method for the reconstruction of Sunyaev-Zel'dovich (SZ) galaxy clusters in future SZ-survey experiments using multiband bolometer cameras such as Olimpo, APEX, or Planck. Our goal is …
• ### Morphological diversity and source separation

Authors: J. Bobin, Y. Moudden, J.-L. Starck, M. Elad Journal: IEEE Year: 2006 Download: IEEE Abstract This letter describes a new method for blind source separation, adapted to the case of sources having different morphologies. We show that such morphological diversity leads to a new and very efficient separation method, …
• ### Curvelet analysis of asteroseismic data

Authors: P. Lambert, S. Pires, J. Ballot, R.A. Garcia, J.-L. Starck, S. Turck-Chièze Journal: A&A Year: 2006 Download: ADS | arXiv   Abstract Context. The detection and identification of oscillation modes (in terms of their l, m, and successive n) is a great challenge for present and future asteroseismic space missions. …
• ### Weak lensing mass reconstruction using wavelets

Authors: J.-L. Starck, S. Pires, Alexandre Réfrégier Journal: A&A Year: 2006 Download: ADS | arXiv   Abstract This paper presents a new method for the reconstruction of weak lensing mass maps. It uses the multiscale entropy concept, which is based on wavelets, and the False Discovery Rate which allows us to …
• ### Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA)

Authors: M. Elad, J.-L. Starck, P. Querre, D.L. Donoho Journal: ACHA Year: 2005 Download: Science Direct Abstract This paper describes a novel inpainting algorithm that is capable of filling in holes in overlapping texture and cartoon image layers. This algorithm is a direct extension of a recently developed sparse-representation-based …
• ### Image decomposition via the combination of sparse representations and a variational approach

Authors: J.-L. Starck, M. Elad , D.L. Donoho Journal: IEEE Year: 2005 Download: IEEE Abstract This paper describes a novel inpainting algorithm that is capable of filling in holes in overlapping texture and cartoon image layers. This algorithm is a direct extension of a recently developed sparse-representation-based image decomposition …
• ### Redundant Multiscale Transforms and their Application for Morphological Component Analysis

Authors: J.-L. Starck, M. Elad , D.L. Donoho Journal: Advances in Imaging and Electron Physics Year: 2004 Download: PDF Abstract The development track of the wavelet transform and its redundant extensions designed for images was described. The notion of sparsity and the algorithms that facilitate it was studied. It …