An Inverse Solution to the Winkel Tripel Projection Using Partial Derivatives
Author: Ipbuker, Cengizhan
Source: Cartography and Geographic Information Science, Volume 29, Number 1, January 2002 , pp. 37-42(6)
Abstract:In cartographic applications it is frequently necessary to transform the rectangular coordinates from one projection into another. In this case, one must first calculate the geographical coordinates from the rectangular coordinates of the existing map and then project these new geographical coordinates to the desired projection. This is called an inverse solution. If both of the plane coordinates are functions of the variables longitude and latitude, it may not be easy to derive the geographical coordinates. This paper describes an iterative approach for the inverse solution of the Winkel Tripel projection using partial derivatives. I chose the Winkel Tripel projection because it is commonly used for mapping the whole world. It has a special importance in atlas cartography where it is regarded as a suitable projection with relatively little distortion, distributed more uniformly than many other atlas projections.
Document Type: Research Article
Publication date: 2002-01-01
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