Point Location Conversion in Distance Cartogram Construction Based on Vector Field Analysis

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 such as a travel time. In distance cartogram construction, the preselected points are fixed in the first step whereas the locations of ot...

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Bibliographic Details
Published inJournal of Information Processing Vol. 28; pp. 711 - 714
Main Authors Miura, Takeshi, Tajima, Katsubumi
Format Journal Article
LanguageEnglish
Published Information Processing Society of Japan 2020
Subjects
distance cartogram
homeomorphism
map deformation
smoothness
vector field
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Summary: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 such as a travel time. In distance cartogram construction, the preselected points are fixed in the first step whereas the locations of other points are converted in the second step. This paper proposes a new point location conversion method for the second step. The conversion process is modeled as a phenomenon in a three-dimensional vector field. Each point in the geographic map is connected with the corresponding point in the cartogram by a streamline of the field. The connection relationship becomes a smooth homeomorphism required in distance cartogram construction. The experimental results demonstrate its effectiveness.
ISSN:1882-6652
1882-6652
DOI:10.2197/ipsjjip.28.711