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A novel nonlinear hyperspectral unmixing approach for images of oil spills at sea / Ying Li in International Journal of Remote Sensing IJRS, vol 41 n°12 (20 - 30 March 2020)  

Public [article]  inInternational Journal of Remote Sensing IJRS > vol 41 n°12 (20 - 30 March 2020) . - pp 4684 - 4701 Titre : A novel nonlinear hyperspectral unmixing approach for images of oil spills at sea Type de document : Article/Communication Auteurs : Ying Li, Auteur ; Huimin Lu, Auteur ; Zhenduo Zhang, Auteur ; et al., Auteur Année de publication : 2020 Article en page(s) : pp 4684 - 4701 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Traitement d'image optique [Termes IGN] analyse des mélanges spectraux [Termes IGN] équation polynomiale [Termes IGN] hydrocarbure [Termes IGN] image hyperspectrale [Termes IGN] marée noire [Termes IGN] modèle non linéaire [Termes IGN] pollution des mers [Termes IGN] trigonométrie Résumé : (auteur) Hyperspectral remote sensing is currently being used to detect and monitor marine oil spills that cause damage to the environment. However, nonlinear interactions of oil and water make it difficult to extract their fractional abundances from the spectral response. Improving the modelling of nonlinear hyperspectral mixtures, which is required for a thorough and reliable characterization of the materials in an image, remains a challenging yet fundamental task. This study proposes a new model that combines polynomial and trigonometric systems to understand the nonlinear effects of oil and water spectral response. Although the model is nonlinear, unmixing is performed by solving a linear problem, thus allowing fast computation. Compared to classic polynomial models, the details of nonlinear interactions are better expressed and quantified, and the reconstruction accuracy and endmember abundance estimation are improved for both synthetic and real datasets. Both the polynomial and trigonometric parts of the model play important roles in characterizing nonlinearities, with statistically linear dependence areas covering more than 90% and 30%, respectively, in oil spill images sampled after the Deepwater Horizon explosion. Analysis of the experimental results suggests that the proposed model provides an efficient and accurate unmixing method that can be used to help design oil spill response plans. Numéro de notice : A2020-452 Affiliation des auteurs : non IGN Thématique : IMAGERIE Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1080/01431161.2020.1723179 Date de publication en ligne : 27/02/2020 En ligne : https://doi.org/10.1080/01431161.2020.1723179 Format de la ressource électronique : url article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=95540 [article]

Introduction to scientific programming with Python / Joakim Sundnes (2020)  

Public Titre : Introduction to scientific programming with Python Type de document : Guide/Manuel Auteurs : Joakim Sundnes, Auteur Editeur : Springer Nature Année de publication : 2020 Importance : 157 p. Format : 16 x 24 cm ISBN/ISSN/EAN : 978-3-030-50356-7 Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Langages informatiques [Termes IGN] équation polynomiale [Termes IGN] interface graphique [Termes IGN] programmation adaptée à l'objet [Termes IGN] Python (langage de programmation) Résumé : (éditeur) This open access book offers an initial introduction to programming for scientific and computational applications using the Python programming language. The presentation style is compact and example-based, making it suitable for students and researchers with little or no prior experience in programming. The book uses relevant examples from mathematics and the natural sciences to present programming as a practical toolbox that can quickly enable readers to write their own programs for data processing and mathematical modeling. These tools include file reading, plotting, simple text analysis, and using NumPy for numerical computations, which are fundamental building blocks of all programs in data science and computational science. At the same time, readers are introduced to the fundamental concepts of programming, including variables, functions, loops, classes, and object-oriented programming. Accordingly, the book provides a sound basis for further computer science and programming studies. Note de contenu : 1- Getting started with Python 2- Computing with formulas 3- Loops and lists 4- Functions and branching 5- User input and error handling 6- Arrays and plotting 7- Dictionaries and strings 8- Classes 9- Object-oriented programming Numéro de notice : 28555 Affiliation des auteurs : non IGN Thématique : GEOMATIQUE/INFORMATIQUE Nature : Manuel informatique DOI : 10.1007/978-3-030-50356-7 En ligne : https://doi.org/10.1007/978-3-030-50356-7 Format de la ressource électronique : url Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=97444

Extension of satellite altimetry Jason-2 sea level anomalies towards the Red Sea coast using polynomial harmonic techniques / A. M. Taqi in Marine geodesy, vol 40 n° 5 (September 2017)  

Public [article]  inMarine geodesy > vol 40 n° 5 (September 2017) . - pp 315 - 328 Titre : Extension of satellite altimetry Jason-2 sea level anomalies towards the Red Sea coast using polynomial harmonic techniques Type de document : Article/Communication Auteurs : A. M. Taqi, Auteur ; A. M. Al-Subhi, Auteur ; M. A. Alsaafani, Auteur Année de publication : 2017 Article en page(s) : pp 315 - 328 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Nivellement [Termes IGN] altimétrie satellitaire par radar [Termes IGN] AVISO [Termes IGN] données altimétriques [Termes IGN] données Jason [Termes IGN] équation polynomiale [Termes IGN] fonction harmonique [Termes IGN] littoral [Termes IGN] niveau de la mer [Termes IGN] Rouge, mer [Termes IGN] série de Fourier Résumé : (Auteur) Satellite altimetry data are facing big challenges near the coasts. These challenges arise due to the fundamental difficulties of correction and land contamination in the foot print, which result in rejection of these data near the coast. Several studies have been carried out to extend these data towards the coast. Over the Red Sea, altimetry data consist of gaps, which extend to about 30–50 km from the coast. Two methods are used for processing and extending Jason-2 satellite altimetry sea level anomalies (SLAs) towards the Red Sea coast; Fourier Series Model (FSM), and the polynomial sum of sine model (SSM). FSM model technique uses Fourier series and statistical analysis reflects strong relationship with both the observation and AVISO data, with strong and positive correlation. The second prediction technique, SSM model, depends on the polynomial sum of sine, and does not reflect any relationship with the observations and AVISO data close to the coast and the correlation coefficient (CC) is weak and negative. The FSM model output results in SLA data significantly better and more accurate than the SSM model output. Numéro de notice : A2017-668 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article DOI : 10.1080/01490419.2017.1333549 En ligne : https://doi.org/10.1080/01490419.2017.1333549 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=87143 [article]

Introduction to partial differential equations / Peter J. Olver (2014)  

Public Titre : Introduction to partial differential equations Type de document : Guide/Manuel Auteurs : Peter J. Olver, Auteur Editeur : Springer International Publishing Année de publication : 2014 Importance : 636 p. Format : 18 x 26 cm ISBN/ISSN/EAN : 978-3-319-02099-0 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Analyse mathématique [Termes IGN] équation de Laplace [Termes IGN] équation de Poisson [Termes IGN] équation différentielle [Termes IGN] équation linéaire [Termes IGN] équation non linéaire [Termes IGN] équation polynomiale [Termes IGN] fonction de Green [Termes IGN] principe de Huygens [Termes IGN] transformation de Fourier [Termes IGN] valeur limite Résumé : (auteur) This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solitons, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements. Note de contenu : 1- What Are Partial Differential Equations? 2- Linear and Nonlinear Waves 3- Fourier Series 4- Separation of Variables 5- Finite Differences 6- Generalized Functions and Green’s Functions 7- Fourier Transforms 8- Linear and Nonlinear Evolution Equations 9- A General Framework for Linear Partial Differential Equations 10- Finite Elements and Weak Solutions 11- Dynamics of Planar Media 12- Partial Differential Equations in Space Numéro de notice : 25874 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Manuel DOI : 10.1007/978-3-319-02099-0 En ligne : https://doi.org/10.1007/978-3-319-02099-0 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=95568

La théorie de Galois et l'arithmétique / L. Lafforgue in Images des mathématiques, vol 2004 (01/02/2004)

Public [article]  inImages des mathématiques > vol 2004 (01/02/2004) . - pp 74 - 79 Titre : La théorie de Galois et l'arithmétique Type de document : Article/Communication Auteurs : L. Lafforgue, Auteur Année de publication : 2004 Article en page(s) : pp 74 - 79 Note générale : Bibliographie Langues : Français (fre) Descripteur : [Vedettes matières IGN] Mathématique [Termes IGN] équation polynomiale [Termes IGN] théorie de Galois Résumé : (Auteur) A 20 ans, dans la nuit précédant le duel où il devait trouver la mort, Evariste Galois (1811-1832) écrivit un testament de ses réflexions des années passées. C'était une théorie des équations algébriques que l'on a appelée la théorie de Galois. Aujourd'hui plus que jamais, elle est au coeur de l'arithmétique où elle fait se rencontrer l'algèbre, la géométrie, la topologie et l'analyse harmonique. Numéro de notice : A2004-257 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=26784 [article]

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