Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Reconstruction of map projection, its inverse and re-projection

Tomáš Bayer;  Milada Kočandrlová — 2018

Applications of Mathematics

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...

On inversions of van der Grinten projections

Tomáš Bayer;  Milada Kočandrlová — 2021

Applications of Mathematics

Approximately 150 map projections are known, but the inverse forms have been published for only two-thirds of them. This paper focuses on finding the inverse forms of van der Grinten projections I--IV, both by non-linear partial differential equations and by the straightforward inverse of their projection equations. Taking into account the particular cases, new derivations of coordinate functions are also presented. Both the direct and inverse equations have the analytic form, are easy to implement...

Page 1

Download Results (CSV)