V Hotine-Marussi Symposium on Mathematical Geodesy

V Hotine-Marussi Symposium on Mathematical Geodesy
Author: Fernando Sansò
Publisher: Springer Science & Business Media
Total Pages: 356
Release: 2013-03-09
Genre: Science
ISBN: 366210735X

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.

Lattice Point Identities and Shannon-Type Sampling

Lattice Point Identities and Shannon-Type Sampling
Author: Willi Freeden
Publisher: CRC Press
Total Pages: 287
Release: 2019-10-28
Genre: Technology & Engineering
ISBN: 1000757749

Lattice Point Identities and Shannon-Type Sampling demonstrates that significant roots of many recent facets of Shannon's sampling theorem for multivariate signals rest on basic number-theoretic results. This book leads the reader through a research excursion, beginning from the Gaussian circle problem of the early nineteenth century, via the classical Hardy-Landau lattice point identity and the Hardy conjecture of the first half of the twentieth century, and the Shannon sampling theorem (its variants, generalizations and the fascinating stories about the cardinal series) of the second half of the twentieth century. The authors demonstrate how all these facets have resulted in new multivariate extensions of lattice point identities and Shannon-type sampling procedures of high practical applicability, thereby also providing a general reproducing kernel Hilbert space structure of an associated Paley-Wiener theory over (potato-like) bounded regions (cf. the cover illustration of the geoid), as well as the whole Euclidean space. All in all, the context of this book represents the fruits of cross-fertilization of various subjects, namely elliptic partial differential equations, Fourier inversion theory, constructive approximation involving Euler and Poisson summation formulas, inverse problems reflecting the multivariate antenna problem, and aspects of analytic and geometric number theory. Features: New convergence criteria for alternating series in multi-dimensional analysis Self-contained development of lattice point identities of analytic number theory Innovative lattice point approach to Shannon sampling theory Useful for students of multivariate constructive approximation, and indeed anyone interested in the applicability of signal processing to inverse problems.

Geometrical Geodesy

Geometrical Geodesy
Author: Maarten Hooijberg
Publisher: Springer Science & Business Media
Total Pages: 452
Release: 2007-12-18
Genre: Science
ISBN: 3540682252

Surveying a Century Ago As it was based on the principles of geometry and trigonometry, surveying may be may be looked upon as a branch of practical mathematics. Hence, it was necessary that land surveyors and hydrographers should have a fair general knowledge, not only of these subjects, but also of all the subjects comprised by the term mathemat ics. In addition, the knowledge of mathematics required in ordinary chain surveying and levelling was not very extensive but in geodetical work, the highest mathematical ability and great organising power were required for a proper conception and supervision of the operations (Threlfall, 1940). Only small area of a few hundred square kilometres can be accurately mapped and surveyed without a frame work, since no difficulty is encountered because of Earth-curvature. In the past, especially in hydrography due to the type of work, surveying was carried out on the principles of ordinary practice, but in a very rough man ner, rapidity of execution being of paramount importance, the permissible error was sometimes large. The relative positions of the main surface features were obtained by aid of portable instruments, such as sextants and lead lines, tide poles, and logships. Sketching, just like military surveying was often filling in the smaller detail. In contrary, survey works done by the national mapping agencies (NMAs) were of a higher-level, and comprised the delimitation of boundaries as well as topographical surveys.

VII Hotine-Marussi Symposium on Mathematical Geodesy

VII Hotine-Marussi Symposium on Mathematical Geodesy
Author: Nico Sneeuw
Publisher: Springer Science & Business Media
Total Pages: 393
Release: 2012-02-02
Genre: Science
ISBN: 3642220770

The Hotine-Marussi Symposium is the core meeting of a “think thank”, a group scientists in the geodetic environment working on theoretical and methodological subjects, while maintaining the foundations of geodesy to the proper level by corresponding to the strong advancements improved by technological development in the field of ICT, electronic computing, space technology, new measurement devices etc. The proceedings of the symposium cover a broad area of arguments which integrate the foundations of geodesy as a science. The common feature of the papers therefore is not on the object, but rather in the high mathematical standards with which subjects are treated.

PLANS 2004

PLANS 2004
Author:
Publisher: IEEE Computer Society Press
Total Pages: 816
Release: 2004
Genre: Sports & Recreation
ISBN:

Precision Surveying

Precision Surveying
Author: John Olusegun Ogundare
Publisher: John Wiley & Sons
Total Pages: 648
Release: 2015-09-22
Genre: Technology & Engineering
ISBN: 1119102537

A comprehensive overview of high precision surveying, including recent developments in geomatics and their applications This book covers advanced precision surveying techniques, their proper use in engineering and geoscience projects, and their importance in the detailed analysis and evaluation of surveying projects. The early chapters review the fundamentals of precision surveying: the types of surveys; survey observations; standards and specifications; and accuracy assessments for angle, distance and position difference measurement systems. The book also covers network design and 3-D coordinating systems before discussing specialized topics such as structural and ground deformation monitoring techniques and analysis, mining surveys, tunneling surveys, and alignment surveys. Precision Surveying: The Principles and Geomatics Practice: Covers structural and ground deformation monitoring analysis, advanced techniques in mining and tunneling surveys, and high precision alignment of engineering structures Discusses the standards and specifications available for geomatics projects, including their representations, interpretations, relationships with quality assurance/quality control measures, and their use in geomatics projects Describes network design and simulation, including error analysis and budgeting Explains the main properties of high-precision surveys with regard to basic survey procedures and different traditional measurement techniques Analyzes survey observables such as angle, distance, elevation difference and coordinate difference measurements, and the relevant equipment, including the testing and utilization of the equipment Provides several case studies and real world examples Precision Surveying: The Principles and Geomatics Practice is written for upper undergraduate students and graduate students in the fields of surveying and geomatics. This textbook is also a resource for geomatics researchers, geomatics software developers, and practicing surveyors and engineers interested in precision surveys.

Record

Record
Author:
Publisher:
Total Pages: 824
Release: 2004
Genre: Navigation
ISBN:

Guide to GPS Positioning

Guide to GPS Positioning
Author: David Wells
Publisher:
Total Pages: 610
Release: 1987
Genre: Artificial satellites in navigation
ISBN:

"The Guide to GPS Positioning is a self-contained introduction to the Global Positioning System, designed to be used in any of the following three ways: as a self-study guide, as lecture notes for formal post-secondary education courses, or as hand-out material to support short-course and seminar presentations on GPS." -- Introduction.

EUREF Publication No. 13

EUREF Publication No. 13
Author: International Association of Geodesy. Subcommission for Europe. Symposium
Publisher:
Total Pages: 462
Release: 2004
Genre: Geodesy
ISBN:

Geodesy - the Challenge of the 3rd Millennium

Geodesy - the Challenge of the 3rd Millennium
Author: Erik Grafarend
Publisher: Springer Science & Business Media
Total Pages: 460
Release: 2013-12-11
Genre: Science
ISBN: 3662052962

Geodesy as the science which determines the figure of the earth, its orientation in space and its gravity field as well as its temporal changes, produces key elements in describing the kinematics and the dynamics of the deformable body "earth". It contributes in particular to geodynamics and opens the door to decode the complex interactions between components of "the system earth". In the breathtaking development recently a whole arsenal of new terrestrial, airborne as well as satelliteborne measurement techniques for earth sciences have been made available and have broadened the spectrum of measurable earth parameters with an unforeseen accuracy and precision, in particular to resolve the factor time. The book focusses on these topics and gives a state of the art of modern geodesy.