By Erik W. Grafarend,Rey-Jer You,Rainer Syffus
ISBN-10: 3642364934
ISBN-13: 9783642364938
ISBN-10: 3662517469
ISBN-13: 9783662517468
In the context of Geographical info structures (GIS) the e-book deals a well timed overview of Map Projections. the 1st chapters are of foundational variety. We introduce the mapping from a left Riemann manifold to a correct one exact as conformal, equiaerial and equidistant, point of view and geodetic. specifically, the mapping from a Riemann manifold to a Euclidean manifold ("plane") and the layout of assorted coordinate platforms are reviewed . A speciality is the remedy of surfaces of Gaussian curvature 0. the biggest half is dedicated to the mapping the sector and the ellipsoid-of-revolution to tangential airplane, cylinder and cone (pseudo-cone) utilizing the polar point, transverse in addition to indirect point. quite a few Geodetic Mappings in addition to the Datum challenge are reviewed. within the first extension we introduce optimum map projections through variational calculus for the sector, respectively the ellipsoid producing harmonic maps. the second one extension studies substitute maps for constructions , particularly torus (pneu), hyperboloid (cooling tower), paraboloid (parabolic mirror), onion form (church tower) in addition to clothoid (Hight pace Railways) utilized in venture Surveying. 3rd, we current the Datum Transformation defined by means of the Conformal staff C10 (3) in a threedimensional Euclidean house , a 10 parameter conformal transformation. It leaves infinitesimal angles and distance ratios equivariant. Numerical examples from classical and new map projections in addition to twelve appendices rfile the fantastic international of Map Projections.
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Map Projections: Cartographic Information Systems by Erik W. Grafarend,Rey-Jer You,Rainer Syffus
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