LEADER 04370nam 22006375 450 001 9910298369003321 005 20200629163016.0 010 $a3-642-36494-2 024 7 $a10.1007/978-3-642-36494-5 035 $a(CKB)3710000000239382 035 $a(EBL)1965511 035 $a(OCoLC)890690757 035 $a(SSID)ssj0001353915 035 $a(PQKBManifestationID)11779894 035 $a(PQKBTitleCode)TC0001353915 035 $a(PQKBWorkID)11316356 035 $a(PQKB)11383199 035 $a(MiAaPQ)EBC1965511 035 $a(DE-He213)978-3-642-36494-5 035 $a(PPN)181346079 035 $a(EXLCZ)993710000000239382 100 $a20140911d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMap Projections $eCartographic Information Systems /$fby Erik W. Grafarend, Rey-Jer You, Rainer Syffus 205 $a2nd ed. 2014. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2014. 215 $a1 online resource (941 p.) 300 $aDescription based upon print version of record. 311 $a3-642-36493-4 320 $aIncludes bibliographical references and index. 327 $aFrom the Contents: From Riemann manifolds to Riemann manifolds -- From Riemann manifolds to Euclidean manifolds -- Coordinates -- Surfaces of Gaussian curvature zero -- Sphere to tangential plane': polar (normal) aspect -- Sphere to tangential plane': transverse aspect -- Sphere to tangential plane: oblique aspect -- Ellipsoid-of-revolution to tangential plane -- Ellipsoid-of-revolution to sphere and from sphere to plane -- Sphere to cylinder: polar aspect -- Sphere to cylinder: transverse aspect. 330 $aIn 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. 606 $aGeographic information systems 606 $aGeophysics 606 $aGeography 606 $aGeographical Information Systems/Cartography$3https://scigraph.springernature.com/ontologies/product-market-codes/J13000 606 $aGeophysics/Geodesy$3https://scigraph.springernature.com/ontologies/product-market-codes/G18009 606 $aGeography, general$3https://scigraph.springernature.com/ontologies/product-market-codes/J00000 615 0$aGeographic information systems. 615 0$aGeophysics. 615 0$aGeography. 615 14$aGeographical Information Systems/Cartography. 615 24$aGeophysics/Geodesy. 615 24$aGeography, general. 676 $a526.8 700 $aGrafarend$b Erik W$4aut$4http://id.loc.gov/vocabulary/relators/aut$0770400 702 $aYou$b Rey-Jer$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSyffus$b Rainer$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910298369003321 996 $aMap Projections$92504599 997 $aUNINA