Descripteur
|
Termes IGN > sciences naturelles > sciences de la Terre et de l'univers > géosciences > géophysique interne > géodésie > géodésie mathématique
géodésie mathématiqueSynonyme(s)géodésie géométrique |
Documents disponibles dans cette catégorie (27)
Ajouter le résultat dans votre panier Affiner la recherche Interroger des sources externesEtendre la recherche sur niveau(x) vers le bas
Geodesic geometry on graphs / Daniel Cizma in Discrete & computational geometry, vol 68 n° 1 (July 2022)
Titre : Geodesic geometry on graphs Type de document : Article/Communication Auteurs : Daniel Cizma, Auteur ; Nati Linial, Auteur Année de publication : 2022 Article en page(s) : pp 298 - 347 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie
[Termes IGN] géodésie mathématique
[Termes IGN] graphe
[Termes IGN] noeudRésumé : (auteur) We investigate a graph theoretic analog of geodesic geometry. In a graph G=(V,E) we consider a system of paths P={Pu,v:u,v∈V} where Pu,v connects vertices u and v. This system is consistent in that if vertices y, z are in Pu,v, then the subpath of Pu,v between them coincides with Py,z. A map w:E→(0,∞) is said to induce P if for every u,v∈V the path Pu,v is w-geodesic. We say that G is metrizable if every consistent path system is induced by some such w. As we show, metrizable graphs are very rare, whereas there exist infinitely many 2-connected metrizable graphs. Numéro de notice : A2022-450 Affiliation des auteurs : non IGN Thématique : INFORMATIQUE/MATHEMATIQUE/POSITIONNEMENT Nature : Article DOI : 10.1007/s00454-021-00345-w Date de publication en ligne : 26/01/2022 En ligne : http://dx.doi.org/10.1007/s00454-021-00345-w Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=100832
in Discrete & computational geometry > vol 68 n° 1 (July 2022) . - pp 298 - 347[article]
Titre : Algorithms for geodesics Type de document : Article/Communication Auteurs : C. Karney, Auteur Année de publication : 2013 Article en page(s) : pp 43 - 55 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie
[Termes IGN] ellipsoïde de révolution
[Termes IGN] géodésie mathématique
[Termes IGN] polygone
[Termes IGN] projection gnomoniqueRésumé : (Auteur) Algorithms for the computation of geodesics on an ellipsoid of revolution are given. These provide accurate, robust, and fast solutions to the direct and inverse geodesic problems and they allow differential and integral properties of geodesics to be computed. Numéro de notice : A2013-073 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-012-0578-z Date de publication en ligne : 26/06/2012 En ligne : https://doi.org/10.1007/s00190-012-0578-z Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=32211
in Journal of geodesy > vol 87 n° 1 (January 2013) . - pp 43 - 55[article]Réservation
Réserver ce documentExemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité 266-2013011 SL Revue Centre de documentation Revues en salle Disponible
Titre : Geometrical geodesy : using information and computer technology Type de document : Guide/Manuel Auteurs : M. Hooijberg, Auteur Editeur : Berlin, Heidelberg, Vienne, New York, ... : Springer Année de publication : 2008 Importance : 439 p. Format : 20 x 27 cm - cont. 1 cédérom ISBN/ISSN/EAN : 978-3-540-25449-2 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie
[Termes IGN] astrolabe
[Termes IGN] coordonnées cartésiennes
[Termes IGN] coordonnées cartésiennes géocentriques
[Termes IGN] ellipsoïde de référence
[Termes IGN] figure de la Terre
[Termes IGN] Fortran
[Termes IGN] géodésie mathématique
[Termes IGN] géodésie tridimensionnelle
[Termes IGN] positionnement par géodésie spatiale
[Termes IGN] projection conforme
[Termes IGN] réseau géodésique planimétrique
[Termes IGN] système de référence géodésique
[Termes IGN] transformation de coordonnéesIndex. décimale : 30.00 Géodésie - généralités Résumé : (Editeur) Geometrical Geodesy is a reference manual written for geodesists and scientists in the field of earth sciences. This book reviews developments in geodesy and hydrography, using a wide variety of electronic and acoustic instruments. The aim is to take stock of the latest fundamental geodetic constants for the 2000s, to focus on dissimilar ellipsoidal areas, distances, and conversion of applications, referenced to an abundant bibliography. It presents a mixture of issues, dealing with reference and time systems, datums, and s-transformations, elucidate multi-dimensional aspects of the information, communication, and computation technology, including the use of parallel computers. An IBM-compatible personal computer with a modest capacity in DOS-mode allows the use of FORTRAN subroutines (On-CD), or demonstration of global geometrical geodesy with ready-to-run compiled FORTRAN programs (On-CD), with printer output in unformatted DOS mode. Stressing the hands-on methodology, the handbook is of interest to geodetic engineers, consultants, hydrographers, and engineers with an interest in the field of earth sciences. Note de contenu : 1. Time and Reference Systems
1.1 Earth in Space-Time Metric
1.2 Frequency and Time
1.3 Principal Time Scales in Brief
1.4 Definitions of the Figure of the Earth or Geoid
1.5 Fundamental Polyhedron
1.6 Celestial and Terrestrial Reference Systems
1.6.1 Orbital Systems
1.6.2 Inertial Reference Systems
1.6.3 Reference Systems and Frames
2. Dealing with Geoscience Branches
2.1 Continental Drift Hypothesis
2.2 Concept of Earth's Wobbling-Movements
2.2.1 Tidal Deformation of the Earth
2.2.2 Polar Motion
2.2.3 Orbit Perturbations
3. The Figure of Earth
3.1 Astronomic and Geodetic Research
3.2 Horizontal Control Datum
3.2.1 Specification of Size and Shape
3.2.2 Combining Local Reference Datums
3.3 Vertical Control Datum
3.4 Stellar Triangulation-Nerwork
3.5 Toward a Worldwide 3D-Geodetic Reference System
3.6 Fundamental Parameters in Astronomy-Geodesy-Geodynamics 3.6.1 Estimated Parameters for the 2000s
3.6.2 Primary Geodetic Parameters and Discussion
3.6.3 Consistent Set of Fundamental Constants (1997)
3.6.4 SC-3 Appendices
4. 3D-Positioning and Mapping
4.1 At the Dawn of the Space Age.
4.2 Geometric and Dynamic Satellite Geodesy
4.2.1 Geometrical Satellite Surveying Systems
4.2.2 Dynamical Satellite Surveying Systems
4.3 Global Navigation Satellite System
4.3.1 TRANSIT System
4.3.2 GPS System
4.3.3 Global Differential GPS
4.3.4 GLONASS System
4.3.5 GALILEO System
4.3.6 Combined GALILEO, GPS and GLONASS Systems in Differential Mode
4.3.7 eLORAN Systems
4.3.8 Uncorrected Errors due to System Time Drift
4.4 Acoustic SD-positioning
4.5 Global Geographic Information Systems
5. Plane and Spherical Earth Systems
5.1 Plane Trigonometry
5.2 Plane Coordinate System
5.3 Distance Measurement Techniques
5.3.1 Baseline-Crossing
5.4 Spherical Trigonometry
5.4.1 Formulae in Spherical Trigonometry
5.5 Area Calculation
6. Classical Datums and Reference Systems
6.1 Standard Units of Linear Measure
6.2 Spheres and Ellipsoids
6.3 Basic Control Surveys for Reference Systems
6.3.1 Classical Geodesy
6.3.2 Satellite Geodesy
6.3.3 Information in European Standards
6.3.4 On the Meaning of Geodetic Orientation
6.4 Formulae for Various Types of Latitude
7. Spatial Coordinate Calculations
7.1 Using Bi-linear Interpolation
7.2 S-transformation
7.3 Cartesian Coordinates
8. Geodetic Arc Calculations
8.1 Great Elliptic Arc
8.2 Normal Section
8.3 Geodesies up to 20 000 km
8.3.1 Using Kivioja's Method
8.3.2 Using Vincenty's Method
8.4 The Meridional Arc
8.4.1 Recasting Algorithms
8.4.2 Accuracy and Precision
8.5 Arc of Parallel
9. Conversions and Zone Systems
9.1 Scope and Terminology
9.2 Projection Zone Systems
9.3 Computation Zone Systems
9.4 Conversions and Transformations
10. Conformal Projections - Using Reference Ellipsoids
10.1 Lambert's Conformal Conical Projection
10.2 Gauss-Schreiber Conformal Double Projection
10.3 Normal Mercator Projection
10.4 Gauss-Kriiger Conformal Projection
10.5 Hotine's Oblique Mercator Projection
10.6 Rosenmund's Oblique Mercator Projection
10.7 Oblique Stereographic Conformal Projection
10.8 Polyeder Mapping
10.9 Conversions between Grid Systems
11. Astrolabe Observations
11.1 Reduction of Astrolabe Observations
11.2 Derivation of the Method
12. About History - A Bird's-Eye View
12.1 In Antiquity
12.1.1 Trigonometrical Surveys
12.1.2 Prolate or Oblate Ellipsoid
12.2 A Quarter of a Millennium Ago
12.2.1 Principle of Gauss' Least Squares adjustment
12.2.2 Frameworks for Mapping
12.2.3 Radar and Velocity of Light in Vacuo
12.2.4 Electronic Surveying Systems
12.3 About Mathematics
12.3.1 Topology
12.3.2 Maxwell's Electromagnetic Wave
12.3.3 Albert Einstein's Vision
13. Tools and Topics
13.1 History of Tables
13.1.1 Dividing Circumference of the Circle
13.2 Trigonometrical Tables
13.3 Trigonometric Approximation Techniques
13.3.1 CORDIC Trigonometric Functions
14. Computing Techniques
14.1 Logarithms and Slide Rules
14.2 Mechanical Calculators
14.3 Mathematical Functions for Use in Subroutines
14.4 Electronic Computers
14.5 Supercomputers
14.6 Scaleable Parallelism
14.6.1 SP Hardware
14.6.2 SP Software
14.6.3 Parallel Applications for SP Platforms
14.7 Operating Systems
14.8 Programming Languages
14.9 Timeline of Calculating
15. Information and Computer Technology
15.1 Relational Databases
15.2 Spatial 3D- or 4D-Databases
15.3 ICT-Human Resources
16. ICT Applied to Sea Surveying
16.1 Navigation and Positioning at Sea
16.1.1 Underwater Acoustic Positioning
16.1.2 Chart Datum
16.1.3 Electronic Chart Systems
16.2 Geo Marine Surveying
16.2.1 Multi-Frequency Signal Processing
16.2.2 Acoustic Geo-Sensors
16.2.3 Underwater Acoustic Systems
16.2.4 Sub-Bottom Profiling
16.2.5 Parametric Echosounders
16.2.6 Hydrographical Literature
17. Using Computers
17.1 Using FORTRAN Programs
17.1.1 Installation of FORTRAN
17.1.2 Compilation
17.1.3 FORTRAN Application Program Modules
17.1.4 Program Execution
17.1.4.1 Error Messages
17.1.4.2 Detailed Information
18. FORTRAN Application Programs
18.1 Using Flat Earth Applications
18.2 Baseline Crossing Application
18.3 Bi-Axial Meridional Arcs
18.4 Ellipsoid Constants - Arcs - Radii
18.5 Quadrilateral Ellipsoidal Area
18.6 Polygonal Area on a Sphere or Bi-Axial Ellipsoid
18.7 Length of Parallel
18.8 Geodetic Reference System
18.9 Bi-Linear Interpolation
18.10 S-Transformation
18.11 Forward Long Line - Kivioja's Method
18.12 Inverse Long Line - Kivioja's Method
18.13 Forward Long Line - Vincenty's Method
18.14 Inverse Long Line - Vincenty's Method
18.15 Polyeder Mapping System
18.16 Gaussian Ellipsoid to Sphere
18.17 Normal Mercator Projection
18.18 Gauss-Kruger Projection
18.19 Lambert's Conical Conformal Projection
18.20 Hotine's Oblique Mercator Projection
18.21 Rosenmund's Oblique Mercator Projection
18.22 Stereographic Conformal Projection
18.23 I/O Subroutines
19. International Organisations
19.1 International Union of Geodesy and Geophysics
19.2 International Association of Geodesy
19.3 Federation Internationale des Geometres
19.4 International Hydrographic Organisation
19.5 International Earth Rotation Service
19.6 Participants in National Geodetic Satellite ProgramNuméro de notice : 16881 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Manuel Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=46560 Réservation
Réserver ce documentExemplaires (2)
Code-barres Cote Support Localisation Section Disponibilité 16881-02 30.00 Livre Centre de documentation Géodésie Disponible 16881-01 DEP-ELG Livre Marne-la-Vallée Dépôt en unité Exclu du prêt
Titre : Influence de la métrique sur les notions de courbure d'un espace géométrique Type de document : Mémoire Auteurs : M. Bourdier, Auteur Editeur : Paris : Institut Géographique National - IGN (1940-2007) Année de publication : 1996 Collection : Publications du LAREG Sous-collection : Mémoire de stage Importance : 16 p. Format : 21 x 30 cm Note générale : Bibliographie
Mémoire de stageLangues : Français (fre) Descripteur : [Vedettes matières IGN] Mathématique
[Termes IGN] conduction
[Termes IGN] espace courbe
[Termes IGN] géodésie mathématique
[Termes IGN] géométrie différentielle
[Termes IGN] métrique
[Termes IGN] tension
[Termes IGN] torsion géodésiqueIndex. décimale : MX Mémoires divers Numéro de notice : 64378 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Rapport de stage Organisme de stage : LAREG (IGN) Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=44400 Réservation
Réserver ce documentExemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité 64378-01 MX Livre Centre de documentation En réserve Mezzanine Disponible
Titre : Geodetic theory today : third Hotine-Marussi symposium on mathematical geodesy Type de document : Actes de congrès Auteurs : Fernando Sanso, Éditeur scientifique ; International association of geodesy, Auteur ; International union of geodesy and geophysics, Auteur Editeur : Berlin, Heidelberg, Vienne, New York, ... : Springer Année de publication : 1995 Collection : International Association of Geodesy Symposia, ISSN 0939-9585 num. 114 Conférence : IAG 1994, 3rd Hotine-Marussi symposium on mathematical geodesy, Geodetic theory today 30/05/1994 03/06/1994 L'Aquila Italie Importance : 446 p. Format : 21 x 30 cm ISBN/ISSN/EAN : 978-3-540-59421-5 Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie
[Termes IGN] approximation
[Termes IGN] cartographie
[Termes IGN] estimation statistique
[Termes IGN] géodésie mathématique
[Termes IGN] géopositionnement
[Termes IGN] Global Positioning System
[Termes IGN] gravimétrie
[Termes IGN] interférométrie
[Termes IGN] mécanique céleste
[Termes IGN] modélisation
[Termes IGN] ondelette
[Termes IGN] probabilité
[Termes IGN] problème des valeurs limites
[Termes IGN] problème inverse
[Termes IGN] théorie de la relativitéNote de contenu : Foreword : Report on the III Hotine-Marussi Symposium
(B. Benciolini)
Monday, May 30, 1994
The Newton Form of the Geodesic Flow on SR2 and EA,B2 in Maupertuis Gauge
(R.J. You, E. Grafarend)
The Lie Series Describing the Geodesic Flow on SR2 and EA,B2
(E.W. Grafarend, R. Syffus)
Conformal Structures and Reference Frames in the Post-Newtonian Approximation to General Relativity
(D.S. Theiss)
3D Linear Similarity Coordinate Transformation Between a Global Geodetic System and a Local Geodetic System Without Local Ellipsoidal Heights
(E. Grafarend, F.I. Okeke)
Application of Moebius Barycentric Coordinates (Natural Coordinates) for Geodetic Positioning
(W. Pachelski, E.W. Grafarend)
DEM Generation with ERS-1 Interferometry
(C. Prati, F. Rocca)
Fundamental GPS Network in Lithuania
(K. Borre, P. Petroâkevi~ius)
The Rotation of the Celestial Equatorial System, With the So-called "Non-rotating Origin"
(B. Richter)
On the GPS Double-difference Ambiguities and Their Partial Search Spaces
(P.J.G. Teunissen)
The Exact Solution of the Nonlinear Equations of the 7-parameter Global Datum Transformation C7 (3)
(E. Grafarend; F. Krumm)
GPS - Spacetime Observables
(V.S. Schwarze)
Tuesday, May 31, 1994
The Optimal Universal Transverse Mercator Projection
(E. Grafarend)
The Generalized Mollweide Projection of the Biaxial Ellipsoid
(E. Grafarend, A. Heidenreich)
The Hotine Oblique Mercator Projection of Ea,b
(J. Engels, E. Grafarend)
The Embedding of the Plumbline Manifold : Orthometric Heights
(E. Grafarend, R.J. You)
Inverse Cartographic Problems
(B. Marana, F. Sansà)
Accuracy of Orbit Computation for Geodetic Satellites : the Ordered and the Chaotic Case
(A. Milani)
The Short-arc Approach to Laser Ranging Analysis
(S. Usai, M. Carpino, A. Milani, G. Catastini, A. Rossi)
Orbital Injection Analysis for Twin LAGEOS Satellites in Supplementary Orbits and the Measurement of the Lense-Thirring Gravitomagnetic Effect
(F. Vespe, L. Anselmo)
Determination of the Gravity Field from Satellite Gradiometry - A Simulation Study -
(M. Belikov, M. van Gelderen, R. Koop)
New Wavelet Methods for Approximating Harmonic Functions
(W. Freeden, M. Schreiner)
Satellite Gradiometry - A New Approach
(W. Freeden, M. Schreiner)
Satellite Orbit Geometry Under Nonconservative Forces
(E. Grafarend, R.J. You)
Spherical Cap Models of Laplacian Potentials and General Fields
(A. De Santis, C. Falcone)
Solving the Inverse Gravimetric Problem: On the Benefit of Wavelets
(L. Ballani)
Integrated Inverse Gravimetric Problems
(R. Barzaghi)
Wednesday, June 1, 1994
Mathematical Statistics for Spatial Data ; the Use of Geostatistics for Geodetic Purposes
(A. Stein)
On the Reconstruction of Regular Grids from Incomplete, Filtered or Unevenly Sampled Band-limited Data
(M.G. Sideris)
Non-parametric Statistics and Bootstrap Methods for Testing the Data Quality of a Geographic Information System
(F. Crosilla, G. Pillirone)
The Effects of Fuzzy Weight Matrices on the Results of Least Squares Adjustments
(H. Kutterer)
On Some Alternatives to Kalman Filtering
(B. Schaffrin)
Chaotic Behaviour in Geodetic Sensors and Fractal Characteristics of Sensor Noise
(Z. Li, K.-P. Schwarz)
Discriminant Analysis to Test Non-Nested Hypotheses
(B. Betti, M. Crespi, F. Sansà, D. Sguerso)
Thursday, June 2, 1994
On Stochastic Boundary Conditions for Laplace Equation
(Yu.A. Rozanov)
A Series Solution for Zagrebin's Problem
(J. Otero, J. Capdevila)
Solution of the Geodetic Boundary Value Problem in Spectral Form
(M.S. Petrovskaya)
Gravity Reductions Versus Approximate B.V.P.s
(F. Sansà, G. Sona)
Classical Methods for Non-spherical Boundary Problems in Physical Geodesy
(P. Holota)
On a Scalar Fixed Altimetry - Gravimetry Boundary Value Problem
(W. Keller)
Non-linear Effects in the Geodetic Version of the Free Geodetic Boundary Value Problem Based on Higher Order Reference Fields
(B. Heck, K. Seitz)
Perturbation Expansion for Solving the Fixed Gravimetric Boundary Value Problem
(R. Klees)
Application of the Concept of Biorthogonal Series to a Simulation of a Gradiometric Mission
(A. Albertella, F. Migliaccio, F. Sansà)
Local Geoid Accuracies from Different Kinds of Data
(A. Albertella, F. Sacerdote)
On Calculating the Attraction of the Topographic-Isostatic Masses
(H.A. Abd-Elmotaal)
The Fast Hartley Transform Applied to the Iberian Geoid Calculation
(M.J. Sevilla, G. Rodriguez-Velasco)
The Impact of the Gravitational Potential of Topographic and Isostatically Adjusted Masses on the Geoid
(J. Engels, E. Grafarend, P. Sorcik)
The Topographic Potential with Respect to the Reference Ellipsoid
(M. Feistritzer)
Friday, June 3, 1994
On the Application of Wavelets in Geodesy
(F. Barthelmes, L. Ballani, R. Klees)
Geodetic Applications of Wavelets : Proposals and Simple Numerical Experiments
(L. Battha, B. Benciolini, P. Zatelli)
How Accurately Do We Know the Marine Geoid in Shallow Water Regions ?
(M. Metzner, S. Dick, E.W. Grafarend, M. Stawarz)
Rank Deficiency of Altimetry-Gravimetry SST Determination
(R. Barzaghi, M.A. Brovelli, F. Sansà)Numéro de notice : 64248 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Actes Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=36364 Réservation
Réserver ce documentExemplaires (2)
Code-barres Cote Support Localisation Section Disponibilité 64248-02 CG.94 Livre Centre de documentation Congrès Disponible 64248-01 DEP-PMT Livre SGM Dépôt en unité Exclu du prêt PermalinkPermalinkMap making today / International cartographic association = association cartographique internationale (1993)
PermalinkPermalinkPermalinkPermalinkPermalinkPermalinkPermalinkPermalink
