Author: Ipbuker Cengizhan
Publisher: Cartography and Geographic Information Society
ISSN: 1545-0465
Source: Cartography and Geographic Information Science, Vol.29, Iss.1, 2002-01, pp. : 37-42
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
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.
Related content
By Ren Liucheng Clarke Keith C. Zhou Chenghu Ding Lin Li Gongquan
Cartography and Geographic Information Science, Vol. 37, Iss. 4, 2010-11 ,pp. :