A new algorithm for continuous area cartogram construction with triangulation of regions and restriction on bearing changes of edges

Ryo Inoue, Eihan Shimizu

研究成果: Article査読

20 被引用数 (Scopus)

抄録

A continuous area cartogram is a transformed map in which regions are resized relative to their data. It is considered an effective visualization tool for statistical data, and many solutions have been proposed. However, most of these solutions are not mathematically clear or user friendly; further, they do not provide visually elegant area cartograms. An essential condition for the construction of a visually elegant area cartogram is that the resultant region shape should resemble the corresponding regions on geographical maps. Since it is impossible to determine the shape of a region based only on the information of size, area cartogram construction is an ill-posed problem that requires regularization. In this study, we propose a construction algorithm that involves triangulation of regions and regularization through restrictions on the bearing changes of the edges in order to obtain visually clear results. First, we formulate a construction using nonlinear least squares. Then, by linearizing, we derive a simple formula to create area cartograms. The application of our algorithm to the USA population datasets reveals that our algorithm has mathematical clarity and is user friendly.

本文言語English
ページ(範囲)115-125
ページ数11
ジャーナルCartography and Geographic Information Science
33
2
DOI
出版ステータスPublished - 2006 4月 1
外部発表はい

ASJC Scopus subject areas

  • 土木構造工学
  • 地理、計画および開発
  • 技術マネージメントおよび技術革新管理

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