Optimization And Design Of Geodetic Networks
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Optimization And Design Of Geodetic Networks
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Author : Erik W. Grafarend
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Optimization And Design Of Geodetic Networks written by Erik W. Grafarend and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
During the period April 25th to May 10th, 1984 the 3rd Course of the International School of Advanced Geodesy entitled "Optimization and Design of Geodetic Networks" took place in Erice. The main subject of the course is clear from the title and consisted mainly of that particular branch of network analysis, which results from applying general concepts of mathematical optimization to the design of geodetic networks. As al ways when dealing with optimization problems, there is an a-priori choice of the risk (or gain) function which should be minimized (or maximized) according to the specific interest of the "designer", which might be either of a scientific or of an economic nature or even of both. These aspects have been reviewed in an intro ductory lecture in which the particular needs arising in a geodetic context and their analytical representations are examined. Subsequently the main body of the optimization problem, which has been conven tionally divided into zero, first, second and third order design problems, is presented. The zero order design deals with the estimability problem, in other words with the definition of which parameters are estimable from a given set of observa tions. The problem results from the fact that coordinates of points are not univocally determined from the observations of relative quantities such as angles and distances, whence a problem of the optimal choice of a reference system, the so-called "datum problem" arises.
Geodetic Network Analysis And Optimal Design
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Author : Shanlong Kuang
language : en
Publisher:
Release Date : 1996
Geodetic Network Analysis And Optimal Design written by Shanlong Kuang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
Surveying
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Author : Heribert Kahmen
language : en
Publisher: Walter de Gruyter
Release Date : 2012-10-25
Surveying written by Heribert Kahmen and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-25 with Science categories.
No detailed description available for "Surveying".
Viii Hotine Marussi Symposium On Mathematical Geodesy
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Author : Nico Sneeuw
language : en
Publisher: Springer
Release Date : 2016-05-18
Viii Hotine Marussi Symposium On Mathematical Geodesy written by Nico Sneeuw and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-18 with Science categories.
This book contains a selection of peer-reviewed papers presented at the VIII Hotine-Marussi Symposium on Mathematical Geodesy in Rome, 17-21 June, 2013. The scientific sessions focused on global reference systems, geodetic data analysis, geopotential modelling, gravity field mapping as well as digital terrain modelling. A special chapter is dedicated to understand the generation of Flash.
A Window On The Future Of Geodesy
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Author : Fernando Sansò
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-09
A Window On The Future Of Geodesy written by Fernando Sansò and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-09 with Science categories.
Every four years the International Association of Geodesy meets at the IUGG General Assembly and this has always been an important event for IAG to make the point on where are we going as geodesists both in terms of scientific production as well as in terms of organization. The proceedings of IAG at the Sapporo 2003 General Assembly are the mirror of our scientific achievements, and, as Geodesy is a living entity like any other science, we could say it is a way to see the picture of what we consider our field of applications as well as of theoretical speculations. Let us examine this aspect in terms of what are: the object of our research, the methods we use, the general scientific results we can produce. • Our object: here I would like to use a pseudo-Helmert definition; the object of Geodesy is knowing the surfaces of the earth: the geometric surface by positioning and e.m. surveying, and the physical surface, i.e the gravity field, by land, marine or satellite gravimetry, and their time variations. This "object" is naturally interlaced with other physical properties of the earth both through deep processes affecting its surface and through the gravity field at all different scales from the global to the regional and local, where most engineering applications take place.
Applications Of Linear And Nonlinear Models
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Author : Erik Grafarend
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-15
Applications Of Linear And Nonlinear Models written by Erik Grafarend and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-15 with Science categories.
Here we present a nearly complete treatment of the Grand Universe of linear and weakly nonlinear regression models within the first 8 chapters. Our point of view is both an algebraic view as well as a stochastic one. For example, there is an equivalent lemma between a best, linear uniformly unbiased estimation (BLUUE) in a Gauss-Markov model and a least squares solution (LESS) in a system of linear equations. While BLUUE is a stochastic regression model, LESS is an algebraic solution. In the first six chapters we concentrate on underdetermined and overdeterimined linear systems as well as systems with a datum defect. We review estimators/algebraic solutions of type MINOLESS, BLIMBE, BLUMBE, BLUUE, BIQUE, BLE, BIQUE and Total Least Squares. The highlight is the simultaneous determination of the first moment and the second central moment of a probability distribution in an inhomogeneous multilinear estimation by the so called E-D correspondence as well as its Bayes design. In addition, we discuss continuous networks versus discrete networks, use of Grassmann-Pluecker coordinates, criterion matrices of type Taylor-Karman as well as FUZZY sets. Chapter seven is a speciality in the treatment of an overdetermined system of nonlinear equations on curved manifolds. The von Mises-Fisher distribution is characteristic for circular or (hyper) spherical data. Our last chapter eight is devoted to probabilistic regression, the special Gauss-Markov model with random effects leading to estimators of type BLIP and VIP including Bayesian estimation. A great part of the work is presented in four Appendices. Appendix A is a treatment, of tensor algebra, namely linear algebra, matrix algebra and multilinear algebra. Appendix B is devoted to sampling distributions and their use in terms of confidence intervals and confidence regions. Appendix C reviews the elementary notions of statistics, namely random events and stochastic processes. Appendix D introduces the basics of Groebner basis algebra, its careful definition, the Buchberger Algorithm, especially the C. F. Gauss combinatorial algorithm.
Applications Of Linear And Nonlinear Models
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Author : Erik W. Grafarend
language : en
Publisher: Springer Nature
Release Date : 2022-10-01
Applications Of Linear And Nonlinear Models written by Erik W. Grafarend and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-01 with Science categories.
This book provides numerous examples of linear and nonlinear model applications. Here, we present a nearly complete treatment of the Grand Universe of linear and weakly nonlinear regression models within the first 8 chapters. Our point of view is both an algebraic view and a stochastic one. For example, there is an equivalent lemma between a best, linear uniformly unbiased estimation (BLUUE) in a Gauss–Markov model and a least squares solution (LESS) in a system of linear equations. While BLUUE is a stochastic regression model, LESS is an algebraic solution. In the first six chapters, we concentrate on underdetermined and overdetermined linear systems as well as systems with a datum defect. We review estimators/algebraic solutions of type MINOLESS, BLIMBE, BLUMBE, BLUUE, BIQUE, BLE, BIQUE, and total least squares. The highlight is the simultaneous determination of the first moment and the second central moment of a probability distribution in an inhomogeneous multilinear estimation by the so-called E-D correspondence as well as its Bayes design. In addition, we discuss continuous networks versus discrete networks, use of Grassmann–Plucker coordinates, criterion matrices of type Taylor–Karman as well as FUZZY sets. Chapter seven is a speciality in the treatment of an overjet. This second edition adds three new chapters: (1) Chapter on integer least squares that covers (i) model for positioning as a mixed integer linear model which includes integer parameters. (ii) The general integer least squares problem is formulated, and the optimality of the least squares solution is shown. (iii) The relation to the closest vector problem is considered, and the notion of reduced lattice basis is introduced. (iv) The famous LLL algorithm for generating a Lovasz reduced basis is explained. (2) Bayes methods that covers (i) general principle of Bayesian modeling. Explain the notion of prior distribution and posterior distribution. Choose the pragmatic approach for exploring the advantages of iterative Bayesian calculations and hierarchical modeling. (ii) Present the Bayes methods for linear models with normal distributed errors, including noninformative priors, conjugate priors, normal gamma distributions and (iii) short outview to modern application of Bayesian modeling. Useful in case of nonlinear models or linear models with no normal distribution: Monte Carlo (MC), Markov chain Monte Carlo (MCMC), approximative Bayesian computation (ABC) methods. (3) Error-in-variables models, which cover: (i) Introduce the error-in-variables (EIV) model, discuss the difference to least squares estimators (LSE), (ii) calculate the total least squares (TLS) estimator. Summarize the properties of TLS, (iii) explain the idea of simulation extrapolation (SIMEX) estimators, (iv) introduce the symmetrized SIMEX (SYMEX) estimator and its relation to TLS, and (v) short outview to nonlinear EIV models. The chapter on algebraic solution of nonlinear system of equations has also been updated in line with the new emerging field of hybrid numeric-symbolic solutions to systems of nonlinear equations, ermined system of nonlinear equations on curved manifolds. The von Mises–Fisher distribution is characteristic for circular or (hyper) spherical data. Our last chapter is devoted to probabilistic regression, the special Gauss–Markov model with random effects leading to estimators of type BLIP and VIP including Bayesian estimation. A great part of the work is presented in four appendices. Appendix A is a treatment, of tensor algebra, namely linear algebra, matrix algebra, and multilinear algebra. Appendix B is devoted to sampling distributions and their use in terms of confidence intervals and confidence regions. Appendix C reviews the elementary notions of statistics, namely random events and stochastic processes. Appendix D introduces the basics of Groebner basis algebra, its careful definition, the Buchberger algorithm, especially the C. F. Gauss combinatorial algorithm.
Advances And Trends In Geodesy Cartography And Geoinformatics
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Author : Soňa Molčíková
language : en
Publisher: CRC Press
Release Date : 2018-04-17
Advances And Trends In Geodesy Cartography And Geoinformatics written by Soňa Molčíková and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-17 with Science categories.
The International Scientific and Professional Conference on Geodesy, Cartography and Geoinformatics 2017 (GCG 2017) was organized under the auspices of the Faculty of Mining, Ecology, Process Control and Geotechnologies, Technical University of Košice (SK), Pavol Jozef Šafárik University in Košice (SK), Faculty of Civil Engineering, STU Bratislava (SK), Faculty of Civil Engineering, CTU Prague (CZ), University of Technology, Kielce (PL), AGH University of Science and Technology, Krakow (PL), Upper Nitra Mines Prievidza, plc. (SK) and the Slovakian Mining Society (SK). The conference was held from October 10 - 13, 2017, in Low Tatras, Slovakia. The purpose of the conference was to provide a forum for prominent scientists, researchers and professionals from Slovakia, Poland and the Czech Republic to present novel and fundamental advances in the fields of geodesy, cartography and geoinformatics. Conference participants had the opportunity to exchange and share their experiences, research and results solved within scientific research projects with other colleagues. The conference focused on a wide spectrum of actual topics and subject areas in Surveying and Mine Surveying, Geodetic Control and Geodynamics, and Cartography and Geoinformatics and collected in this proceedings volume.
Applications Of Geodesy To Engineering
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Author : Klaus Linkwitz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Applications Of Geodesy To Engineering written by Klaus Linkwitz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Accuracy requirements of fractions of a millimeter for the positioning of beam-guiding magnets in synchrotons, monitor- ing of speedy sub-seatunnelling with lengths exceeding 25 km, the construction of extremely long bridges of suspension or "cast-and push"-type, but also geometrical industrial quality control and robot calibration in real time, and even the analysis of prestressed cable nets, are few examples of thechallenging new tasks demanding responses from the modern engineering-geodesist. In this volume, a general view of Engineering Geologyis presented, its state of the art and up-to-date information about recent scientific tasks, aims and methods. The contributions focus on Theoretical Aspects, Techniques of Measurements, Techniques of Data Processing and Computing, Reports About Selected Executed Projects, Special Tasks, e.g. Realtime Positioning and Navigation, Industrial Managements,Image Processing. But also the role of geo- desists in collaboration with civil and mechanical engineers, technical designers and architects is outlined. As a reference book, this volume will be useful for researchers, students and practitioners in Engineering Geodesy and neighbouring disciplines.
The 1st International Workshop On The Quality Of Geodetic Observation And Monitoring Systems Qugoms 11
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Author : Hansjörg Kutterer
language : en
Publisher: Springer
Release Date : 2014-12-06
The 1st International Workshop On The Quality Of Geodetic Observation And Monitoring Systems Qugoms 11 written by Hansjörg Kutterer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-06 with Science categories.
These proceedings contain 25 papers, which are the peer-reviewed versions of presentations made at the 1st International Workshop on the Quality of Geodetic Observation and Monitoring (QuGOMS’11), held 13 April to 15 April 2011 in Garching, Germany. The papers were drawn from five sessions which reflected the following topic areas: (1) Uncertainty Modeling of Geodetic Data, (2) Theoretical Studies on Combination Strategies and Parameter Estimation, (3) Recursive State-Space Filtering, (4) Sensor Networks and Multi Sensor Systems in Engineering Geodesy, (5) Multi-Mission Approaches With View to Physical Processes in the Earth System.