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Comparative analysis for methods of building digital elevation models from topographic maps using geoinformation technologies / Vadim Belenok in Geodesy and cartography, vol 47 n° 4 (December 2021)  

Public [article]  inGeodesy and cartography > vol 47 n° 4 (December 2021) . - pp 191 - 199 Titre : Comparative analysis for methods of building digital elevation models from topographic maps using geoinformation technologies Type de document : Article/Communication Auteurs : Vadim Belenok, Auteur ; Yuriy Velikodsky, Auteur ; Oleksandr Nikolaienko, Auteur ; et al., Auteur Année de publication : 2021 Article en page(s) : pp 191 - 199 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géomatique [Termes IGN] analyse comparative [Termes IGN] ArcGIS [Termes IGN] carte topographique [Termes IGN] contour [Termes IGN] données altimétriques [Termes IGN] image SRTM [Termes IGN] interpolation linéaire [Termes IGN] interpolation polynomiale [Termes IGN] modèle numérique de surface [Termes IGN] Python (langage de programmation) [Termes IGN] régression [Termes IGN] Russie [Termes IGN] vectorisation Résumé : (auteur) The article considers the question of estimating the accuracy of interpolation methods for building digital elevation models using Soviet topographic maps. The territory of the Kursk region of the Russian Federation was used as the study area, because it is located on the Central Russian Upland and characterized by the complex structure of the vertical and horizontal dissection of the relief. Contour lines automatically obtained using a Python algorithm were used as the initial elevation data to build a digital elevation model. Digital elevation models obtained by thirteen different interpolation methods in ArcGIS and Surfer software were built and analyzed. Special attention is paid to the ANUDEM method, which allows to obtain hydrologically correct digital elevation models. Recommendations for the use of one or another method of interpolation are given. The results can be useful for professionals who use topographic maps in their work and deals with the design using digital elevation models. Numéro de notice : A2021-925 Affiliation des auteurs : non IGN Thématique : GEOMATIQUE Nature : Article DOI : 10.3846/gac.2021.13208 Date de publication en ligne : 13/12/2021 En ligne : https://doi.org/10.3846/gac.2021.13208 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=99287 [article]

Polynomials: special polynomials and number-theoretical applications / Ákos Pintér (2021)  

Public Titre : Polynomials: special polynomials and number-theoretical applications Type de document : Monographie Auteurs : Ákos Pintér, Éditeur scientifique Editeur : Bâle [Suisse] : Multidisciplinary Digital Publishing Institute MDPI Année de publication : 2021 Importance : 154 p. Format : 17 x 25 cm ISBN/ISSN/EAN : 978-3-0365-0819-1 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Mathématique [Termes IGN] distribution binomiale [Termes IGN] équation polynomiale [Termes IGN] fonction de base radiale [Termes IGN] formule d'Euler [Termes IGN] interpolation polynomiale [Termes IGN] théorème de Bernstein [Termes IGN] trigonométrie Résumé : (éditeur) Polynomials play a crucial role in many areas of mathematics including algebra, analysis, number theory, and probability theory. They also appear in physics, chemistry, and economics. Especially extensively studied are certain infinite families of polynomials. Here, we only mention some examples: Bernoulli, Euler, Gegenbauer, trigonometric, and orthogonal polynomials and their generalizations. There are several approaches to these classical mathematical objects. This Special Issue presents nine high quality research papers by leading researchers in this field. I hope the reading of this work will be useful for the new generation of mathematicians and for experienced researchers as well. Note de contenu : 1- Two variables Shivley’s matrix polynomial 2- Some symmetric identities for degenerate Carlitz-type (p, q)-Euler numbers and polynomials 3- Symmetric identities for Carlitz-type higher-order degenerate (p, q)-Euler numbers and polynomials 4- Durrmeyer-type generalization of parametric Bernstein operators 5- A collocation method using radial polynomials for solving partial differential equations 6- On the decomposability of the linear combinations of Euler polynomials with odd degrees 7- Structure of approximate roots based on symmetric properties of (p, q)-cosine and (p, q)-sine Bernoulli polynomials 8- Explicit properties of q-cosine and q-sine Euler polynomials containing symmetric structures 9- Certain results for the twice-iterated 2D q-Appell polynomials Numéro de notice : 28632 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Recueil / ouvrage collectif DOI : 10.3390/books978-3-0365-0819-1 En ligne : https://doi.org/10.3390/books978-3-0365-0819-1 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=99635

Generation of digital terrain model for forest areas using a new particle swarm optimization on LiDAR data / Behnaz Bigdeli in Survey review, vol 52 n° 371 (March 2020)  

Public [article]  inSurvey review > vol 52 n° 371 (March 2020) . - pp 115 - 125 Titre : Generation of digital terrain model for forest areas using a new particle swarm optimization on LiDAR data Type de document : Article/Communication Auteurs : Behnaz Bigdeli, Auteur ; Masoomeh Gomroki, Auteur ; Parham Pahlavani, Auteur Année de publication : 2020 Article en page(s) : pp 115 - 125 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Lasergrammétrie [Termes IGN] données lidar [Termes IGN] erreur moyenne quadratique [Termes IGN] filtrage de la végétation [Termes IGN] interpolation polynomiale [Termes IGN] Iran [Termes IGN] modèle numérique de terrain [Termes IGN] optimisation par essaim de particules [Termes IGN] semis de points [Termes IGN] surface forestière Résumé : (auteur) Since Light Detection and Ranging (LiDAR) data are capable of distinguishing vegetation from bare earth, these data are used nowadays to produce digital terrain models (DTMs) for forest regions. In this research, raw LiDAR data were filtered using hybrid and slope-based filtering methods and the filtered data were then interpolated using the new modified particle swarm optimisation (PSO) and accordingly the results were compared with those achieved by the other intelligent and conventional interpolation methods. The new modified PSO optimized the polynomial degree for interpolation and found suitable parameters for optimisation. Two data sets from two forest regions in some northern regions of Iran located in Golestan province were selected to compare these methods. Region 1 with dense vegetation and region 2 with grass vegetation. The results indicated that the hybrid filter performed lower RMSE than the slope-based filter. Finally, the DTM with lowest RMSE was obtained using the hybrid filter and the modified PSO interpolation method with RMSE of 6 mm for region 1 (Tavar-kuh) and 61 mm for region 2 (Shastkola River Basin). Numéro de notice : A2020-078 Affiliation des auteurs : non IGN Thématique : IMAGERIE Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1080/00396265.2018.1530331 Date de publication en ligne : 10/10/2018 En ligne : https://doi.org/10.1080/00396265.2018.1530331 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=94640 [article]

Simultaneous intensity bias estimation and stripe noise removal in infrared images using the global and local sparsity constraints / Li Liu in IEEE Transactions on geoscience and remote sensing, vol 58 n° 3 (March 2020)  

Public [article]  inIEEE Transactions on geoscience and remote sensing > vol 58 n° 3 (March 2020) . - pp 1777 - 1789 Titre : Simultaneous intensity bias estimation and stripe noise removal in infrared images using the global and local sparsity constraints Type de document : Article/Communication Auteurs : Li Liu, Auteur ; Luping Xu, Auteur ; Houzhang Fang, Auteur Année de publication : 2020 Article en page(s) : pp 1777 - 1789 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Traitement d'image [Termes IGN] analyse bivariée [Termes IGN] analyse comparative [Termes IGN] filtrage du bruit [Termes IGN] image infrarouge [Termes IGN] intensité lumineuse [Termes IGN] interpolation polynomiale [Termes IGN] itération [Termes IGN] optimisation (mathématiques) [Termes IGN] programmation par contraintes [Termes IGN] texture d'image Résumé : (Auteur) Infrared (IR) images are often contaminated by obvious intensity bias and stripes, which severely affect the visual quality and subsequent applications. It is challenging to eliminate simultaneously the mixed nonuniformity noise without blurring the fine-image details in low-textured IR images. In this article, we present a new model for simultaneous intensity bias correction and destriping through introducing two sparsity constraints. One is that model fit on the intensity bias should be as accurate as possible. A bivariate polynomial model is built to characterize the global smoothness of the intensity bias. The other constraint is that the unidirectional variational sparse model can concisely represent the direction characteristic of stripe noise. A computationally efficient numerical algorithm based on split Bregman iteration is used to solve the complex optimization problem. The proposed method is fundamentally different from the existing denoising techniques and simultaneously estimates the sharp image, intensity bias, and stripe components. Significant improvement on image quality is achieved on both simulated and real studies. Both qualitative and quantitative comparisons with the state-of-the-art correction methods demonstrate its superiority. Numéro de notice : A2020-089 Affiliation des auteurs : non IGN Thématique : IMAGERIE Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1109/TGRS.2019.2948601 Date de publication en ligne : 18/11/2019 En ligne : https://doi.org/10.1109/TGRS.2019.2948601 Format de la ressource électronique : URL Article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=94663 [article]

Polynomials / Cheon-Seoung Ryoo (2020)  

Public Titre : Polynomials Type de document : Guide/Manuel Auteurs : Cheon-Seoung Ryoo, Éditeur scientifique Editeur : Bâle [Suisse] : Multidisciplinary Digital Publishing Institute MDPI Année de publication : 2020 Importance : 152 p. Format : 16 x 24 cm ISBN/ISSN/EAN : 978-3-03943-315-5 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Mathématique [Termes IGN] équation différentielle [Termes IGN] équation polynomiale [Termes IGN] formule d'Euler [Termes IGN] interpolation polynomiale [Termes IGN] Ploynôme [Termes IGN] polynôme d'Hermite [Termes IGN] transformation polynomiale Résumé : (éditeur) Polynomial and its applications are well known for their proven properties and excellent applicability in interdisciplinary fields of science. Until now, research on polynomial and its applications has been done in mathematics, applied mathematics, and sciences. This book is based on recent results in all areas related to polynomial and its applications. This book provides an overview of the current research in the field of polynomials and its applications. The following papers have been published in this volume: ‘A Parametric Kind of the Degenerate Fubini Numbers and Polynomials’; ‘On 2-Variables Konhauser Matrix Polynomials and Their Fractional Integrals’; ‘Fractional Supersymmetric Hermite Polynomials’; ‘Rational Approximation for Solving an Implicitly Given Colebrook Flow Friction Equation’; ‘Iterating the Sum of Möbius Divisor Function and Euler Totient Function’; ‘Differential Equations Arising from the Generating Function of the (r, β)-Bell Polynomials and Distribution of Zeros of Equations’; ‘Truncated Fubini Polynomials’; ‘On Positive Quadratic Hyponormality of a Unilateral Weighted Shift with Recursively Generated by Five Weights’; ‘Ground State Solutions for Fractional Choquard Equations with Potential Vanishing at Infinity’; ‘Some Identities on Degenerate Bernstein and Degenerate Euler Polynomials’; ‘Some Identities Involving Hermite Kampé de Fériet Polynomials Arising from Differential Equations and Location of Their Zeros.’ Note de contenu : 1- A parametric kind of the degenerate fubini numbers and polynomials 2- On 2-variables konhauser matrix polynomials and their fractional integrals 3- Fractional supersymmetric hermite polynomials 4- Rational approximation for solving an implicitly given colebrook flow friction equation 5- Iterating the sum of mobius divisor function and Euler Totient function 6- Differential equations arising from the generating function of the (r, β)-bell polynomials and distribution of zeros of equations 7- Truncated Fubini polynomials 8- On positive quadratic hyponormality of a unilateral weighted shift with recursively generated by five weights 9- Ground state solutions for fractional Choquard equations with potential vanishing at infinity 10- Some identities on degenerate Bernstein and degenerate Euler polynomials 11- Some identities involving Hermite Kampé de Fériet polynomials arising from differential equations and location of their zeros Numéro de notice : 28496 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Recueil / ouvrage collectif DOI : 10.3390/books978-3-03943-315-5 En ligne : https://doi.org/10.3390/books978-3-03943-315-5 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=99245

Analyse numérique / Mustapha Lakrib (2017)

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Accuracy assessment of digital elevation models based on approximation theory / P. Hu in Photogrammetric Engineering & Remote Sensing, PERS, vol 75 n° 1 (January 2009)  

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Analyse et analyse numérique / Luc Jolivet (2005)

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Dreidimensionale kinematische Modelle zur Analyse von Deformationen an Hängen / P. Rawiel (2001)

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Analyse numérique et équations différentielles / J.P. Demailly (1996) 

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Geometrische Modellierung innerer und äußerer Deformationen der Erdoberfläche mit Anwendungen an der Nord-anatolischen Verwerfung und in der Westtürkei / Y. Altiner (1996)

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