A computational approach to the Robinson projection

Ipbuker C.

SURVEY REVIEW, cilt.38, sa.297, ss.204-217, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 297
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1179/sre.2005.38.297.204
  • Dergi Adı: SURVEY REVIEW
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.204-217
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

The Robinson Projection is the most preferred World map projection in the atlas cartography. There are no analytical formulas except Robinson's look-up table for this projection. This deficiency has led a number of requests for the plotting formulas and cartographers have studied to derive analytical equations using different algorithms. In these works, different interpolation algorithms are applied to Robinson's table values and solutions are presented including some critics about the deformations on this projection. In this study, a summary of these computation algorithms is collected. The multiquadric interpolation method is suggested and applied to the Robinson's tabular coordinates. A series of numerical evaluations are presented then for the controversies and for comparison between these computation algorithms.