Paweł Pędzich

TL;DR: In this paper, the authors present methods of area calculation, which may be applied for big geodesic polygons on the ellipsoid, and compared with other, alternative methods for area calculation of such polygons.

TL;DR: In this article, the authors presented a new method of constructing equidistant map projections of a triaxial ellipsoid as a function of reduced coordinates using the use of the normal elliptic integral of the second kind and Jacobian elliptic functions.

TL;DR: In this article, the authors presented a method for creating a low distortion conformal projection of a triaxial ellipsoid based on Chebyshev's theorem, according to which the lowest distortions are found in those conformal projections, in which the linear scale distortion of the closed boundary of the projected area is constant.

TL;DR: A panoramic map of 360° horizon, projected on a flat plane in the form of a closed circle, is a kind of cartographic works, recently slightly forgotten, but still worth attention as mentioned in this paper.

TL;DR: The role of map projections can be considered depending on an objective, for which a map has to be used, user of this map and a form of its publication as discussed by the authors, which is a broad spectrum of applications for the map projections.