Reconstruction of map projection, its inverse and re-projection.

Autor:	Bayer, Tomáš, 1973 červenec 21.-
Další autoři:	Kočandrlová, Milada, 1948-
Jazyk:	angličtina
Předmět:	matematická kartografie analýza parciální diferenciální rovnice optimalizace mathematical cartography analysis partial differential equations optimization články journal articles inverse projection nonlinear least squares hybrid BFGS early map re-projection
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: This paper focuses on the automatic recognition of map projection, its inverse and re-projection. Our analysis leads to the unconstrained optimization solved by the hybrid BFGS nonlinear least squares technique. The objective function is represented by the squared sum of the residuals. For the map re-projection the partial differential equations of the inverse transformation are derived. They can be applied to any map projection. Illustrative examples of the stereographic and globular Nicolosi projections frequently used in early maps are involved and their inverse formulas are presented.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text Full text from SpringerLink