Preprint
Sep 2026
The optimal-transport cartogram: world population as a Brenier map
A contiguous cartogram is a map whose area is proportional to a quantity such as population. The defining condition, that the Jacobian determinant of the deformation equals the density, is one equation for two unknown functions, so every cartogram method adds a tie-breaker, usually implicitly. Optimal transport makes t...
Philipp Bogdan
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