Optimal Estimation from Data Regularly Sampled on a Sphere Withapplications in Geodesy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Optimal Estimation from Data Regularly Sampled on a Sphere Withapplications in Geodesy write by Oscar L. Colombo. This book was released on 1979. Optimal Estimation from Data Regularly Sampled on a Sphere Withapplications in Geodesy available in PDF, EPUB and Kindle.
Optimal Estimation from Data Regularly Sampled on a Sphere with Applications in Geodesy
Optimal Estimation from Data Regularly Sampled on a Sphere with Applications in Geodesy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Optimal Estimation from Data Regularly Sampled on a Sphere with Applications in Geodesy write by Oscar L. Colombo. This book was released on 1979. Optimal Estimation from Data Regularly Sampled on a Sphere with Applications in Geodesy available in PDF, EPUB and Kindle. The size of the variance-covariance matrix of the data, used to obtain minimum variance estimators for collocation, is as large as the number of observations in the data set. For some arrangements of the data, such as the usual 'equal angle' (or 'regular') grid, the matrix presents a very strong Toeplitz-circulant structure that can be exploited to reduce computing in setting-up and inverting the matrix. This reduction can be quite drastic. This report discusses such structure and presents an algorithm for implementing collocation efficiently. Three applications are considered: (a) the spherical harmonic analysis of point data; (b) the same analysis using area means; (c) the estimate of the disturbing potential from gravity anomalies. The harmonic analysis is optimal for noisy data as well; with noiseless data it provides harmonic coefficients with minimum aliasing. (Author).
Optimization and Design of Geodetic Networks
Optimization and Design of Geodetic Networks - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Optimization and Design of Geodetic Networks write by Erik W. Grafarend. This book was released on 2012-12-06. Optimization and Design of Geodetic Networks available in PDF, EPUB and Kindle. 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.
Geoid Determination
Geoid Determination - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geoid Determination write by Fernando Sansò. This book was released on 2013-02-13. Geoid Determination available in PDF, EPUB and Kindle. This book will be based on the material of the lecture noties in several International Schools for the Determination and Use of the Geoid, organized by the International Geoid Serivice of the International Association of Geodesy. It consolidates, unifies, and streamlines this material in a unique way not covereed by the few other books that exist on this subjext. More specifically, the book presents (for the first time in a single volume) the theory and methodology of the most common technique used for precise determination of the geoid, including the computation of the marine geoid from satellite altimetry data. These are illustrated by specific examples and actual computations of local geoids. In addition, the book provides the fundamentals of estimating orthometric heights without spirit levelling, by properly combining a geoid with heights from GPS. Besides the geodectic and geophysical uses, this last application has made geoid computation methods very popular in recent years because the entire GPS and GIS user communities are interested in estimating geoid undulations in order to convert GPS heights to physically meaningful orthometric heights (elevations above mean sea level). The overall purpose of the book is, therefore, to provide the user community (academics, graduate students, geophysicists, engineers, oceanographers, GIS and GPS users, researchers) with a self-contained textbook, which will supply them with the complete roadmap of estimating geoid undulations, from the theoretical definitions and formulas to the available numerical methods and their implementation and the test in practice.
V Hotine-Marussi Symposium on Mathematical Geodesy
V Hotine-Marussi Symposium on Mathematical Geodesy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook V Hotine-Marussi Symposium on Mathematical Geodesy write by Fernando Sansò. This book was released on 2013-03-09. V Hotine-Marussi Symposium on Mathematical Geodesy available in PDF, EPUB and Kindle. Just as in the era of great achievements by scientists such as Newton and Gauss, the mathematical theory of geodesy is continuing the tradition of producing exciting theoretical results, but today the advances are due to the great technological push in the era of satellites for earth observations and large computers for calculations. Every four years a symposium on methodological matters documents this ongoing development in many related underlying areas such as estimation theory, stochastic modelling, inverse problems, and satellite-positioning global-reference systems. This book presents developments in geodesy and related sciences, including applied mathematics, among which are many new results of high intellectual value to help readers stay on top of the latest happenings in the field.
