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Robust structure from motion based on relative rotations and tie points / Xin Wang in Photogrammetric Engineering & Remote Sensing, PERS, vol 85 n° 5 (May 2019)  

Public [article]  inPhotogrammetric Engineering & Remote Sensing, PERS > vol 85 n° 5 (May 2019) . - pp 347 - 359 Titre : Robust structure from motion based on relative rotations and tie points Type de document : Article/Communication Auteurs : Xin Wang, Auteur ; Franz Rottensteiner, Auteur ; Christian Heipke, Auteur Année de publication : 2019 Article en page(s) : pp 347 - 359 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Photogrammétrie numérique [Termes IGN] compensation locale par faisceaux [Termes IGN] équation linéaire [Termes IGN] orientation relative [Termes IGN] points homologues [Termes IGN] rotation [Termes IGN] structure-from-motion Résumé : (Auteur) In this article, we present two new approaches for image orientation with a focus on robustness, starting with relative orientations of available image pairs, an incremental and a global one, and compare their performance. For the incremental approach, we first choose a suitable initial image pair, and we then iteratively extend the image cluster by adding new images. The rotations of these newly added images are estimated from relative rotations by single rotation averaging. In the next step, a linear equation system is set up for each new image to solve the translation parameters with triangulated tie points that can be viewed in that new image, followed by a resection for refinement. Finally, we refine the orientation parameters of the images by a local bundle adjustment. We also present a global method that consists of two parts: global rotation averaging, followed by setting up a large linear equation system to solve for all image translation parameters simultaneously; a final bundle adjustment is carried out to refine the results. We compare these two methods by analyzing results on different benchmark sets, including ordered and unordered image data sets from the Internet and two other challenging data sets to demonstrate the performance of our two approaches. We conclude that while the incremental method typically yields results of higher accuracy and performs better on the challenging data sets, our global method runs significantly faster. Numéro de notice : A2019-438 Affiliation des auteurs : non IGN Thématique : IMAGERIE/INFORMATIQUE Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.14358/PERS.85.5.347 Date de publication en ligne : 01/05/2019 En ligne : https://doi.org/10.14358/PERS.85.5.347 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=92769 [article]

Exemplaires(1)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
105-2019051	SL	Revue	Centre de documentation	Revues en salle	Disponible

Analyse numérique / Mustapha Lakrib (2017)

Public Titre : Analyse numérique : cours et exercices résolus Type de document : Guide/Manuel Auteurs : Mustapha Lakrib, Auteur Editeur : Paris : Ellipses-Edition Marketing Année de publication : 2017 Collection : Références sciences Importance : 230 p. Format : 19 x 24 cm ISBN/ISSN/EAN : 978-2-340-01673-6 Note générale : Bibliographie Langues : Français (fre) Descripteur : [Vedettes matières IGN] Analyse numérique [Termes IGN] calcul différentiel [Termes IGN] équation linéaire [Termes IGN] équation non linéaire [Termes IGN] interpolation polynomiale [Termes IGN] méthode des moindres carrés Index. décimale : 23.40 Analyse numérique Résumé : (Editeur) Cet ouvrage s'adresse aux étudiants de licence et de master en mathématiques, informatique, sciences et technologies, ainsi qu'aux élèves des écoles d'ingénieurs. Il présente des rappels substantiels sur les notions théoriques de base concernant plusieurs méthodes d'analyse numérique, suivis d'exercices corrigés de difficultés variées, permettant une bonne maîtrise des concepts. Un index en fin d'ouvrage permet de retrouver au plus vite la notion cherchée. Les méthodes d'analyse numérique traitées dans cet ouvrage concernent le calcul numérique approché, la résolution numérique d'équations linéaires et non linéaires, l'interpolation polynomiale, l'approximation polynomiale au sens des moindres carrés, les dérivations et intégration approchées et enfin la résolution numérique d'équations différentielles ordinaires. Cet ouvrage pourra également intéresser ceux qui veulent s'initier à l'analyse numérique ou approfondir leurs connaissances dans ce domaine. Note de contenu : 1. Calcul numérique approché 2. Equations non linéaires 3. Systèmes d'équations linéaires 4. Interpolation polynômiale 5. Approximation au sens des moindres carrés 6. Dérivation et intégration numériques 7. Equations différentielles ordinaires Numéro de notice : 22725 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Manuel de cours Accessibilité hors numérique : Accessible à Georges Pérec (Id UGE) Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=85358

Introduction to partial differential equations / David Borthwick (2016)  

Public Titre : Introduction to partial differential equations Type de document : Guide/Manuel Auteurs : David Borthwick, Auteur Editeur : Springer International Publishing Année de publication : 2016 Importance : 636 p. Format : 18 x 26 cm ISBN/ISSN/EAN : 978-3-319-48936-0 Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Mathématique [Termes IGN] équation de Laplace [Termes IGN] équation différentielle [Termes IGN] équation linéaire [Termes IGN] onde acoustique [Termes IGN] série de Fourier [Termes IGN] transformation de Fourier Résumé : (éditeur) 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- Introduction 2- Preliminaries 3- Conservation Equations and Characteristics 4- The Wave Equation 5- Separation of Variables 6- The Heat Equation 7- Function Spaces 8- Fourier Series 9- Maximum Principles 10- Weak Solutions 11- Variational Methods 12- Distributions 13- The Fourier Transform Numéro de notice : 25868 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Manuel DOI : 10.1007/978-3-319-48936-0 En ligne : https://doi.org/10.1007/978-3-319-48936-0 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=95528

Methods of Mathematical Modelling / Thomas Witelski (2015)  

Public Titre : Methods of Mathematical Modelling : Continuous Systems and Differential Equations Type de document : Guide/Manuel Auteurs : Thomas Witelski, Auteur ; Mark Bowen, Auteur Editeur : Springer International Publishing Année de publication : 2015 Importance : 324 p. Format : 16 x 24 cm ISBN/ISSN/EAN : 978-3-319-23042-9 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Mathématique [Termes IGN] analyse mathématique [Termes IGN] calcul différentiel [Termes IGN] calcul variationnel [Termes IGN] équation différentielle [Termes IGN] équation linéaire [Termes IGN] modèle mathématique [Termes IGN] série de Fourier [Termes IGN] variable Résumé : (éditeur) This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences. Note de contenu : Part I- Formulation of Models 1- Rate equations 2- Transport equations 3- Variational principles 4- Dimensional scaling analysis Part II- Solution Techniques 5- Self-similar scaling solutions of differential equations 6- Perturbation methods 7- Boundary layer theory 8- Long-wave asymptotics for PDE problems 9- Weakly-nonlinear oscillators 10- Fast/slow dynamical systems 11- Reduced models for PDE problems Part III- Case Studies 12- Modelling in applied fluid dynamics Epilogue Numéro de notice : 25830 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Manuel En ligne : https://doi.org/10.1007/978-3-319-23042-9 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=95152

Positioning configurations with the lowest GDOP and their classification / Shuqiang Xue in Journal of geodesy, vol 89 n° 1 (January 2015)  

Public [article]  inJournal of geodesy > vol 89 n° 1 (January 2015) . - pp 49 - 71 Titre : Positioning configurations with the lowest GDOP and their classification Type de document : Article/Communication Auteurs : Shuqiang Xue, Auteur ; Yuanxi Yang, Auteur Année de publication : 2015 Article en page(s) : pp 49 - 71 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Applications de géodésie spatiale [Termes IGN] affaiblissement géométrique de la précision [Termes IGN] constellation GNSS [Termes IGN] équation linéaire [Termes IGN] erreur systématique [Termes IGN] optimisation (mathématiques) [Termes IGN] orbitographie [Termes IGN] polyèdre [Termes IGN] pseudolite Résumé : (auteur) The positioning configuration optimization is a basic problem in surveying, and the geometric dilution of precision (GDOP) is a key index to handle this problem. Simplex graphs as regular polygons and regular polyhedrons are the well-known configurations with the lowest GDOP. However, it has been proved that there are at most five kinds of regular polyhedrons. We analytically solve the GDOP minimization problem with arbitrary observational freedom to extend the current knowledge. The configuration optimization framework established is composed of the algebraic and geometric operators (including combination, reflection, collinear mapping, projection and three kinds of equivalence relations), basic properties to GDOP minimization (including continuity, combination invariant, reflection invariant, rotation invariant and collinear invariant) and the lowest GDOP configurations (including cones, regular polygons, regular polyhedrons, Descartes configuration, helical configuration and generalized Walker configuration, and their reflections and combinations). GDOP minimization criterion and D-maximization criterion both reduce to the same criterion matrices that the optimization becomes the problem for solving an underdetermined quadratic equation system. Making use of the concepts for solving underdetermined linear equation system, the concepts of base configuration (single classification) and general configuration (combined classification) are applied to the GDOP minimization to analytically solve the quadratic equation system. Firstly, the problems are divided into two subproblems by two kinds of GDOP to reveal the impact of the clock-offset on the configuration optimization, and it shows that the symmetry and uniformity play a key role in identifying the systematic errors. Then, the solution of the GDOP minimization is classified by the number of symmetry axes, that the base configurations with at least one symmetry axis and the general configurations without symmetry axis are categorized to be two large classifications. Complex configurations can be then generated by the combination and the reflection of those base configurations with simplex structure, and this indicates that completely solving the GDOP minimization needs to solve the simplex classifications primarily. Ultimately, constrained or unconstrained configuration optimization examples including GDOP distribution analysis, single-global satellite navigation system (GNSS) or multi-GNSS constellation design, configuration optimization of pseudolites and configuration design of buoys for underwater positioning are performed by employing the properties, lemmas, theorems and corollaries proposed. Numéro de notice : A2015-330 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-014-0760-6 Date de publication en ligne : 14/10/2014 En ligne : https://doi.org/10.1007/s00190-014-0760-6 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=76655 [article]

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

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The diffusion approximation for the linear Boltzmann equation with vanishing scattering coefficient / Claude Bardos in Communications in Mathematical Sciences, vol 13 n° 3 (2014)  

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On the exponential decay to equilibrium of the degenerate linear Boltzmann equation / Etienne Bernard in Journal of functional analysis, vol 265 n° 9 (November 2013)  

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Missing-area reconstruction in multispectral images under a compressive sensing perspective / Luca Lorenzi in IEEE Transactions on geoscience and remote sensing, vol 51 n° 7 Tome 1 (July 2013)  

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Computational Physics / Philipp Scherer (2013)  

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A photogrammetric method for single image orientation and measurement / Antonio Maria Garcia Tommaselli in Photogrammetric Engineering & Remote Sensing, PERS, vol 71 n° 6 (June 2005)  

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A linear algorithm for computing the spherical harmonic coefficients of the gravitational potential from a constant density polyhedron / Olivier Jamet (2004) 

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Untersuchung von GPS-Beobachtungen für kleinräumige geodätische Netze / R. Hollmann (2000)

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Analyse und Vergleich unterschiedlicher Modelle der dreidimensionalen Geodäsie / U. Klein (1997)

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Tailored numerical solution strategies for the global determination of the Earth's gravity field / W.D. Schuh (1996)

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