An Analytic Technique of Map Transformation

A New Technique for Constructing Continuous Cartograms

“…Based on our experience, all known algorithms for constructing cartograms using a computer proceed from the concept of a density, based on the division of the territory into parts (cells) in which the density is assumed to be constant. For different applications, these parts use either different simple geometrical figures (triangles, squares, and so on), which a priori are not connected with existent divisions of the territory (e.g., administrative-territorial as in Petrov, Serbenyuk, and Tikunov [1984]and Tikunov [1988]) or units of existent divisions such as administrative-territorial as in Dougenik, Chrisman, and Niemeyer [1985]and Selvin et al [1984]). In both cases similar algorithms can be used.…”