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Topology-Aware Algorithm for Constructing Cartograms from Density-Equalising Map Projections

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conference contribution
posted on 2023-10-09, 01:46 authored by Michael Thorsten GastnerMichael Thorsten Gastner, Nguyen Phong Le, Nihal Z Miaji, Adi Singhania

Cartograms are maps in which the areas of enumeration units $\text{(}$e.g. administrative divisions$\text{)}$ are proportional to quantitative data $\text{(}$e.g. population$\text{)}$. Generating cartograms with density-equalising map projections guarantees that geographic neighbours remain neighbours in the cartograms if all boundaries are infinitely dense sequences of points. However, computers represent boundaries with only finitely many points, often causing invalid topologies in the cartogram. This talk shows how line densification and topology-aware simplification solve this problem.

Funding

MOE-T2EP20221-0007

History

Journal/Conference/Book title

10th International Congress on Industrial and Applied Mathematics, Tokyo, Japan

Publication date

2023-08-22

Version

  • Published

Rights statement

Michael T Gastner, Nguyen Phong Le, Nihal Z Miaji and Adi Singhania (2023). Topology-aware algorithm for constructing cartograms from density-equalising map projections. Presented at the 10th International Congress on Industrial and Applied Mathematics, Tokyo, Japan.

Corresponding author

Michael T Gastner

Project ID

  • 14612 (R-R22-A405-0003) Designing mobile-friendly cartograms for visualising geospatial data

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