2020 Volume 28 Pages 87-90
Distance cartograms are deformed maps in which the distance of each of the preselected point pairs in the geographic map is changed in step with a specified value. In distance cartogram construction, the preselected points such as train stations are fixed in the first step, and other points such as those comprising railroads are fixed in the second step. This paper proposes a new point location conversion approach for the second step. In the approach, a triangle in the geographic map which consists of two points already fixed in the first step and a point to be fixed in the second step, is converted into a similar triangle in the cartogram. The experimental results demonstrate its effectiveness.