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Titre : Spherical harmonic analysis of satellite gradiometry Type de document : Rapport Auteurs : Reiner Rummel, Auteur ; Fernando Sanso, Auteur ; Martin Van Gelderen, Auteur ; Radboud Koop, Auteur ; E.J.O. Schrama, Auteur ; Maria Antonia Brovelli, Auteur ; F. Miggliaccio, Auteur ; F. Sacerdote, Auteur Editeur : Delft : Netherlands Geodetic Commission NGC Année de publication : 1993 Collection : Netherlands Geodetic Commission Publications on Geodesy Sous-collection : New series num. 39 Importance : 122 p. Format : 20 x 28 cm ISBN/ISSN/EAN : 978-90-6132-247-4 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie spatiale
[Termes IGN] analyse harmonique
[Termes IGN] gradiométrie
[Termes IGN] harmonique sphérique
[Termes IGN] méthode des moindres carrés
[Termes IGN] poursuite de satelliteIndex. décimale : 30.60 Géodésie spatiale Résumé : (auteur) In 1988 the European Space Agency started with a series of studies with the goal to prepare the geodetic user community for a dedicated gravity field mission and stimulate cooperation among various groups. Thereby it was left open whether the planned mission should be based on the principle of satellite-to-satellite tracking, on satellite gradiometry or on a combination of these two methods. In the course of these studies it turned out that the group of the dipartimento di ingegneria idraulica, ambientale e del rilevamento of the politecnico di Milano and that of the faculty of geodetic engineering of the Delft University of Technology worked much along the same line. At various occasions very exciting and stimulating exchange of ideas took place between these two groups. In 1991 it was therefore decided to publish the main line of their development in gradiometry analysis, the so-called timewise and spacewise approach, in a joint report. Compared with the benefit it would have been rather cumbersome to try to homogenize the adopted style of presentation and notation of the two groups. Thus little effort was spent on this aspect. We hope that this does not hamper reading. Numéro de notice : 61103 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Rapport de recherche DOI : sans En ligne : https://www.ncgeo.nl/downloads/39Rummel.pdf Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=60878 Réservation
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Code-barres Cote Support Localisation Section Disponibilité 61103-01 30.60 Livre Centre de documentation Géodésie Disponible 61103-02 30.60 Livre Centre de documentation Géodésie Disponible The application of Radon transformation for improved analysis of sparsely sampled data / R.H. Hanssen (1993)
Titre : The application of Radon transformation for improved analysis of sparsely sampled data : a feasibility study Type de document : Monographie Auteurs : R.H. Hanssen, Auteur Editeur : Delft [Pays-Bas] : Delft University of Technology Année de publication : 1993 Importance : 145 p. Format : 21 x 30 cm Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Statistiques
[Termes IGN] analyse de données
[Termes IGN] échantillonnage de données
[Termes IGN] étude de faisabilité
[Termes IGN] méthode des moindres carrés
[Termes IGN] transformation de RadonNuméro de notice : 11761 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Monographie Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=54490 Réservation
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Code-barres Cote Support Localisation Section Disponibilité 11761-01 23.60 Livre Centre de documentation Mathématiques Disponible 11761-02 23.60 Livre Centre de documentation Mathématiques Disponible The lambda method for integer ambiguity estimation / P.J. de Jonge (1993)
Titre : The lambda method for integer ambiguity estimation : implementation aspects Type de document : Monographie Auteurs : P.J. de Jonge, Auteur ; Christian Tiberius, Auteur Editeur : Delft [Pays-Bas] : Delft University of Technology Année de publication : 1993 Collection : LGR-SERIES num. 12 Importance : 49 p. Format : 21 x 30 cm Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Statistiques
[Termes IGN] ambiguïté entière
[Termes IGN] compensation Lambda
[Termes IGN] décorrélation
[Termes IGN] méthode des moindres carrés
[Termes IGN] résolution d'ambiguïté
[Termes IGN] signal GPSRésumé : (Auteur) High precision relative GPS positioning is based on the very precise carrier phase measurements. In order to achieve high precision results within a short observation time span, the integer nature of the ambiguities has to be exploited. In this report the full procedure for parameter estimation based on the model of double difference GPS observations is reviewed, but the emphasis will be on the integer estirnation of the GPS double difference ambiguities. The LAMBDA method will be used for the integer estimation. LAMBDA stands for Least-squares AMBiguity Decorrelation Adjustment. By means of the Z-transformation, the ambiguities are decorrelated prior to the integer estimation. The integer minimization problem is then attacked by a discrete search over an ellipsoidal region, the ambiguity search ellipsoid. The shape and orientation of the ellipsoid are governed by the variance covariance matrix of the ambiguities. The decorrelation realizes an ellipsoid that is very much sphere-like. It can be searched through very efficiently. The size of the ellipsoid can be controlled prior to the search using the volume function. The volume gives an indication of the number of candidates contained in the ellipsoid. A request for only a few candidates can be made, and this enables a straightforward implementation of the search. A limited number of candidates will be output of which one is the integer least-squares estimate for the vector of ambiguities. The LAMBDA method provides, based on the float ambiguities and their variance covariance matrix, the integer least-squares estimate for the ambiguities. Therewith, the fixed solution can be computed. By the decorrelation, the integer estimation can be carried out very fast and efficiently. The total procedure typically takes 30 ms or less on a 486-66 MHz PC for a baseline with 12 ambiguities. The method has been introduced in [1]. Preliminary fast positioning results using the LAMBDA method are given in [8], [9] and [10]. In this report, the implementation aspects of the method are discussed. A detailed description of the method is given, as well as the algorithms in the stylized Matlab notation of [7]. Numéro de notice : 18213 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Monographie Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=55353 Réservation
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Code-barres Cote Support Localisation Section Disponibilité 18213-01 23.60 Livre Centre de documentation Mathématiques Disponible Data reduction and error analysis for the physical sciences / P.R. Bevington (1992)
Titre : Data reduction and error analysis for the physical sciences Type de document : Monographie Auteurs : P.R. Bevington, Auteur ; D. Robinson, Auteur Mention d'édition : 2 Editeur : Boston, New York, ... : McGraw-Hill Année de publication : 1992 Importance : 328 p. Format : 16 x 24 cm ISBN/ISSN/EAN : 978-0-07-911243-9 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Statistiques
[Termes IGN] analyse numérique
[Termes IGN] distribution de Cauchy
[Termes IGN] distribution de Gauss
[Termes IGN] distribution de Poisson
[Termes IGN] estimation statistique
[Termes IGN] incertitude de mesurage
[Termes IGN] méthode de Monte-Carlo
[Termes IGN] méthode des moindres carrés
[Termes IGN] méthode du maximum de vraisemblance (estimation)
[Termes IGN] probabilités
[Termes IGN] propagation d'erreur
[Termes IGN] test statistique
[Termes IGN] théorie des erreursNuméro de notice : 69485 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Monographie Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=62211 Réservation
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Code-barres Cote Support Localisation Section Disponibilité 69485-01 23.60 Livre Centre de documentation Mathématiques Disponible Geometry, relativity, geodesy / Helmut Moritz (1992)
Titre : Geometry, relativity, geodesy Type de document : Monographie Auteurs : Helmut Moritz, Auteur ; Bernhard Hofmann-Wellenhof, Auteur Editeur : Karlsruhe, Heidelberg, ... : Wichmann Année de publication : 1992 Importance : 367 p. Format : 16 x 24 cm ISBN/ISSN/EAN : 978-3-87907-244-6 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie
[Termes IGN] coordonnées cartésiennes
[Termes IGN] espace de Hilbert
[Termes IGN] espace euclidien
[Termes IGN] géodésie mathématique
[Termes IGN] géométrie
[Termes IGN] géométrie euclidienne
[Termes IGN] méthode des moindres carrés
[Termes IGN] physique quantique
[Termes IGN] surface (géométrie)
[Termes IGN] tenseur
[Termes IGN] théorie de la relativitéIndex. décimale : 30.04 Mathématiques appliquées à la géodésie Note de contenu : 1. Euclidean spaces
1.1 Algebraic introduction on matrices and the summation convention
1.2 Geometric and algebraic vectors in R3
- The Etensor
- Linear transformations by a matrix
1.3 Affine coordinates in R3, contravariant and covariant vectors : the Ricci calculus
- An auxiliary Cartesian coordinate system
1.4 Generalization to R3
- Collection of results
- A simple geometric interpretation
1.5 Geometry of leastsquares adjustment
1.6 Projective geometry and photogrammetry
- Homogeneous coordinates in the plane
- Transformation of homogeneous coordinates
- Transformation between two projective spaces
2. Surfaces
2.1 Curvilinear coordinates in the plane
- Equation of a straight line
- Base vectors in curvilinear coordinates
- Parallel transport of a vector .
- Covariant derivative of a vector along a curve .
2.2 Intrinsic geometry of surfaces
- Surface vectors
- Geodesics
- Direct or First Geodetic Problem
- Inverse or Second Geodetic Problem
2.3 Application to ellipsoidal geometry
2.4 Conformal mapping
- Isothermic coordinates for the ellipsoid
- Transverse Mercator projection
2.5 Parallel transport of vectors
- Parallel transport of covariant vectors
2.6 Curvature
- Extrinsic curvatures
2.7 Properties of geodesics
2.8 The eiconal equation
- Examples for the eiconal equation
- Further reading on differential geometry and tensor analysis
3. Nonlinear coordinates in three dimensions
3.1 Natural coordinates in R3
- Eötvös and Marussi tensor
- Bruns' equation
- Local Cartesian coordinates
- The Dupin indicatrix
- Pizzetti's theorem
- Metric tensors and curvatures .
3.2 Refraction and conformal mapping
- Application of the eiconal equation
- Solution of the eiconal equation .
- Effect on horizontal and vertical angles
3.3 Curvature
- The Ricci curvature tensor
- Application to refraction space
4. The theory of relativity
4.1 Special theory of relativity
- The line element
- Motivation
- Spacetime diagrams
- Proper time and time dilatation .
- Longitudinal Doppler effect .
- The general Doppler effect
- Addition of velocities
- Aberration of fight
- Fourvelocity and four acceleration
4.2 General theory of relativity
- Rotating systems and gravity
- Equation of a geodesic .
- Einstein's law of gravitation
4.3 The Schwarmchild metric
- Light rays
- Further reading
5 Geodetic applications of relativity
5.1 The problem of inertial systems
- Local inertial systems
- Global nearlyinertial systems
- Quasiinertial systems and Fermi propagation
- The stellar compass
- Basic paxadox of astrometric inertial systems
- A general remark
5.2 Riemann tensor and tidal forces
- Geodesic deviation .
- Application to the tidal force of the moon
- Tidal forces and the equivalence principle .
- Local inertial systems and Riemannian coordinates
5.3 Separation of gravitational and inertial effects
5.4 Combination of gravimetry and gradiometry
5.5 The PPN approximation
5.6 Gyroscopic effects : LenseThirring precession and geodetic precession
5.7 Gravitational time dilatation
5.8 Relativistic effects on geodetic measurements .
- Gravitational time delay .
- Radar time delay
- Doppler effect
- Further reading
6. Hilbert spaces, quantum mechanics, and leastsquares collocation
6.1 Hilbert space .
- The case of R3
- Hilbert spaces
6.2 Quantum mechanics
- Elementary examples in Hilbert space .
- Correspondence principle for coordinates and momenta
- Commutation rules
- Commutation rule for coordinates and momenta
- Summary of quantummechanical principles
- Energy ; the Schrödinger equation
6.3 Hilbert spaces with kernel function
- Functionals and the dual space .
- Reproducing kernels in R3
6.4 The geometry of leastsquares collocation
- Adjustment by conditions
- Leastsquares collocation
- Discrete Hilbert space
Appendix
A.1. Graphic representation of tensors
A.2. Rules for manipulations with indices
A.2.1 Cartesian tensors
A.2.2 Ricci calculus
A.3. Rigorous definition of tensors
A.3.1 Cartesian tensors
A.3.2 Ricci calculusNuméro de notice : 60965 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Monographie Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=60858 Réservation
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Code-barres Cote Support Localisation Section Disponibilité 60965-01 30.04 Livre Centre de documentation En réserve M-103 Disponible Le poids des observations dans la méthode des moindres carrés / André Fontaine (1991)PermalinkZur Systematisierung der Seilnetzberechnung und zur Optimierung von Seilnetzen / J. Bahndorf (1991)PermalinkDifferentiator design and performance for edge sharpening / P. Jeng-Jong in Photogrammetric Engineering & Remote Sensing, PERS, vol 56 n° 5 (may 1990)PermalinkHigh-precision relative orientation using feature-based matching techniques / M. Li in ISPRS Journal of photogrammetry and remote sensing, vol 44 n° 6 (March 1990)PermalinkPrecision rectification of Spot imagery / T. Westin in Photogrammetric Engineering & Remote Sensing, PERS, vol 56 n° 2 (february 1990)PermalinkBayesian inference with geodetic applications / Karl Rudolf Koch (1990)PermalinkErfassung unsteter Oberflächen aus digitalen Bilddaten durch Flächen- und Kantenzuordnung / R. Li (1990)PermalinkIntegration von Bildzuordnung, Punktbestimmung, Oberflächenrekonstruktion und Orthoprojektion innerhalb der digitalen Photogrammetrie / Christian Heipke (1990)PermalinkProbability and statistics / A. Papoulis (1990)PermalinkLa théorie élémentaire des moindres carrés / Philippe Hottier (1990)PermalinkCompiler positioning system : an array algebra formulation of digital photogrammetry / Urho Rauhala in Photogrammetric Engineering & Remote Sensing, PERS, vol 55 n° 3 (march 1989)PermalinkDigital filters / R.W. Hamming (1989)PermalinkGewichtsoptimierung angeschlossener geodätischer Netze / H. Hoppe (1989)PermalinkOptimum data weighting and error calibration for estimation of gravitational parameters / F.J. Lerch (1989)PermalinkA simulation study of the overdetermined geodetic boundary value problem using collocation / L. Tsaoussi (1989)PermalinkPermalinkOptimal estimation of displacements by combining photogrammetric and dynamic models / Costas Armenakis in Photogrammetric Engineering & Remote Sensing, PERS, vol 54 n° 8 (august 1988)PermalinkGeometrically constrained multiphoto matching / Armin W. Gruen in Photogrammetric Engineering & Remote Sensing, PERS, vol 54 n° 5 (may 1988)PermalinkStatistical concepts and their application in photogrammetry and surveying / M. Cooper in Photogrammetric record, vol 12 n° 71 (April - September 1988)PermalinkDetermination of the gravity disturbance on the earth's topographic surface from airborne gravity gradient data / Y.M. Wang (1988)Permalink