Map Projections : Cartographic Information Systems

Language: English

Published by Springer, 2017

3662517469 / 9783662517468

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Druck auf Anfrage Neuware - Printed after ordering - In the context of Geographical Information Systems (GIS) the book offers a timely review of Map Projections. The first chapters are of foundational type. We introduce the mapping from a left Riemann manifold to a right one specified as conformal, equiaerial and equidistant, perspective and geodetic. In particular, the mapping from a Riemann manifold to a Euclidean manifold ('plane') and the design of various coordinate systems are reviewed . A speciality is the treatment of surfaces of Gaussian curvature zero. The largest part is devoted to the mapping the sphere and the ellipsoid-of-revolution to tangential plane, cylinder and cone (pseudo-cone) using the polar aspect, transverse as well as oblique aspect. Various Geodetic Mappings as well as the Datum Problem are reviewed. In the first extension we introduce optimal map projections by variational calculus for the sphere, respectively the ellipsoid generating harmonic maps. The second extension reviews alternative maps for structures , namely torus (pneu), hyperboloid (cooling tower), paraboloid (parabolic mirror), onion shape (church tower) as well as clothoid (Hight Speed Railways) used in Project Surveying. Third, we present the Datum Transformation described by the Conformal Group C10 (3) in a threedimensional Euclidean space , a ten parameter conformal transformation. It leaves infinitesimal angles and distance ratios equivariant. Numerical examples from classical and new map projections as well as twelve appendices document the Wonderful World of Map Projections.

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Title
Map Projections : Cartographic Information Systems
Author
Erik W. Grafarend
Publisher
Springer
Publication year
2017
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3662517469
ISBN 13
9783662517468
Item weight
2,384 grams
Dimensions
279x210x54 mm

AHA-BUCH GmbH

Einbeck, Germany

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