{"title":"Constrained Minimization Algorithms. Linear Models","authors":"H. Lantéri, C. Theys, C. Richard","doi":"10.1051/978-2-7598-2487-8.C016","DOIUrl":"https://doi.org/10.1051/978-2-7598-2487-8.C016","url":null,"abstract":"","PeriodicalId":411375,"journal":{"name":"New Concepts in Imaging: Optical and Statistical Models","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126291222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
N. Dobigeon, S. Moussaoui, M. Coulon, J. Tourneret, A. Hero
{"title":"MCMC Algorithms for Supervised and Unsupervised Linear Unmixing of Hyperspectral Images","authors":"N. Dobigeon, S. Moussaoui, M. Coulon, J. Tourneret, A. Hero","doi":"10.1051/EAS/1359017","DOIUrl":"https://doi.org/10.1051/EAS/1359017","url":null,"abstract":"In this paper, we describe two fully Bayesian algorithms that have been previously proposed to unmix hyperspectral images. These algorithms relies on the widely admitted linear mixing model, i.e. each pixel of the hyperspectral image is decomposed as a linear combination of pure endmember spectra. First, the unmixing problem is addressed in a supervised framework, i.e. , when the endmembers are perfectly known, or previously identified by an endmember extraction algorithm. In such scenario, the unmixing problem consists of estimating the mix- ing coefficients under positivity and additivity constraints. Then the previous algorithm is extended to handle the unsupervised unmixing problem, i.e. , to estimate the endmembers and the mixing coefficients jointly. This blind source separation problem is solved in a lower- dimensional space, which effectively reduces the number of degrees of freedom of the unknown parameters. For both scenarios, appropriate distributions are assigned to the unknown parameters, that are esti- mated from their posterior distribution. Markov chain Monte Carlo (MCMC) algorithms are then developed to approximate the Bayesian estimators.","PeriodicalId":411375,"journal":{"name":"New Concepts in Imaging: Optical and Statistical Models","volume":"232 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132227775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Imaging Techniques in Millimetre Astronomy","authors":"M. Bremer","doi":"10.1051/EAS/1359010","DOIUrl":"https://doi.org/10.1051/EAS/1359010","url":null,"abstract":"Compared to optical astronomy, millimetre radio astronomy experiences not only a different and complementary aspect of the uni- verse but also different perturbations and limitations from Earth's at- mosphere that are mostly imposed by atmospheric water vapour and its dynamics. After discussing the physics behind the refractive index variations and possible correction schemes, a small introduction into the basics of radio interferometry and image reconstruction with the CLEAN algorithm is given.","PeriodicalId":411375,"journal":{"name":"New Concepts in Imaging: Optical and Statistical Models","volume":"134 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116477518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Frontmatter","authors":"","doi":"10.1051/978-2-7598-2487-8-fm","DOIUrl":"https://doi.org/10.1051/978-2-7598-2487-8-fm","url":null,"abstract":"","PeriodicalId":411375,"journal":{"name":"New Concepts in Imaging: Optical and Statistical Models","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126599518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Restoration of Hyperspectral Astronomical Data with Spectrally Varying Blur","authors":"F. Soulez, É. Thiébaut, L. Denis","doi":"10.1051/EAS/1359018","DOIUrl":"https://doi.org/10.1051/EAS/1359018","url":null,"abstract":"In this paper we present a method for hyper-spectral image restoration for integral field spectrographs (IFS) data. We specifically address two topics: (i) the design of a fast approximation of spectrally varying operators and (ii) the comparison between two kind of regularization functions: quadratic and spatial sparsity functions. We illustrate this method with simulations coming from the Multi Unit Spectroscopic Explorer (MUSE) instrument. It shows the clear increase of the spatial resolution provided by our method as well as its denoising capability.","PeriodicalId":411375,"journal":{"name":"New Concepts in Imaging: Optical and Statistical Models","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125370645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Frontmatter","authors":"","doi":"10.1051/978-2-7598-2487-8.fm","DOIUrl":"https://doi.org/10.1051/978-2-7598-2487-8.fm","url":null,"abstract":"","PeriodicalId":411375,"journal":{"name":"New Concepts in Imaging: Optical and Statistical Models","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122261974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Introduction to Wavefront Coding for Incoherent Imaging","authors":"M. Roche","doi":"10.1051/EAS/1359005","DOIUrl":"https://doi.org/10.1051/EAS/1359005","url":null,"abstract":"We propose in this paper an introduction to the wavefront coding technique for incoherent imaging. Wavefront coding introduces image processing in the conception of an imaging system. It consists in introducing controlled aberrations in the optics able to reduce, after processing, some defaults of the optical system such as defocus, chromaticity. We present the basis of wavefront coding and illustrate them on two images with different characteristics: a spoke pattern and a galaxy image.","PeriodicalId":411375,"journal":{"name":"New Concepts in Imaging: Optical and Statistical Models","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117277052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Principles of Image Reconstruction in Interferometry ebaut1","authors":"É. Thiébaut","doi":"10.1051/978-2-7598-2487-8.C011","DOIUrl":"https://doi.org/10.1051/978-2-7598-2487-8.C011","url":null,"abstract":"","PeriodicalId":411375,"journal":{"name":"New Concepts in Imaging: Optical and Statistical Models","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127256230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Y. Soldo, F. Cabot, B. Rougé, Y. Kerr, A. Al Bitar, E. Epaillard
{"title":"SMOS-NEXT: A New Concept for Soil Moisture Retrieval from Passive Interferometric Observations","authors":"Y. Soldo, F. Cabot, B. Rougé, Y. Kerr, A. Al Bitar, E. Epaillard","doi":"10.1051/EAS/1359011","DOIUrl":"https://doi.org/10.1051/EAS/1359011","url":null,"abstract":"Present soil moisture and ocean salinity maps retrieved by remote sensing are characterized by a coarse spatial resolution. Hydrological, meteorological and climatological applications would benefit greatly from a better spatial resolution. Owing to the dimensions of the satellite structure and to the degradation of the instrument’s radiometric sensitivity, such improvement cannot be achieved with classical interferometry. Then, in order to achieve this goal an original concept for passive interferometric measurements is described. This concept should allow to achieve a much finer spatial resolution, which can be further improved with the application of disaggregation methods. The results will then allow the integration of global soil moisture maps into hydrological models, a better management of water resources at small scales and an improvement in spatial precision for various applications.","PeriodicalId":411375,"journal":{"name":"New Concepts in Imaging: Optical and Statistical Models","volume":"245 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115851075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"SGM to Solve NMF – Application to Hyperspectral Data","authors":"C. Theys, C. Richard","doi":"10.1051/EAS/1359016","DOIUrl":"https://doi.org/10.1051/EAS/1359016","url":null,"abstract":"This article deals with the problem of minimization of a general cost function under non-negativity and flux conservation con- straints. The proposed algorithm is founded on the Split Gradient Method (SGM) adapted here to solve the Non Negative Matrix Factorization (NMF). We show that SGM can be easily regularized, allowing to introduce some physical constraints. Finally, to validate the algorithm, we propose an example of application to hyperspectral data unmixing.","PeriodicalId":411375,"journal":{"name":"New Concepts in Imaging: Optical and Statistical Models","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130995560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}