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Article

What Is the Shape of Geographical Time-Space? A Three-Dimensional Model Made of Curves and Cones

1
LVMT, Université Gustave Eiffel, IFSTTAR, Ecole des Ponts, F-77454 Marne-la-Vallée, France
2
Ministère de la Défense, 75007 Paris, France
*
Author to whom correspondence should be addressed.
Academic Editors: Géraldine Del Mondo, Peng Peng, Feng Lu, Jérôme Gensel and Wolfgang Kainz
ISPRS Int. J. Geo-Inf. 2021, 10(5), 340; https://doi.org/10.3390/ijgi10050340
Received: 22 March 2021 / Revised: 19 April 2021 / Accepted: 1 May 2021 / Published: 17 May 2021
(This article belongs to the Special Issue Spatio-Temporal Models and Geo-Technologies)
Geographical time-spaces exhibit a series of properties, including space inversion, that turns any representation effort into a complex task. In order to improve the legibility of the representation and leveraging the advances of three-dimensional computer graphics, the aim of the study is to propose a new method extending time-space relief cartography introduced by Mathis and L’Hostis. The novelty of the model resides in the use of cones to describing the terrestrial surface instead of graph faces, and in the use of curves instead of broken segments for edges. We implement the model on the Chinese space. The Chinese geographical time-space of reference year 2006 is produced by the combination and the confrontation of the fast air transport system and of the 7.5-times slower road transport system. Slower, short range flights are represented as curved lines above the earth surface with longer length than the geodesic, in order to account for a slower speed. The very steep slope of cones expresses the relative difficulty of crossing terrestrial time-space, as well as the comparably extreme efficiency of long-range flights for moving between cities. Finally, the whole image proposes a coherent representation of the geographical time-space where fast city-to-city transport is combined with slow terrestrial systems that allow one to reach any location. View Full-Text
Keywords: geographical time-space; transport; cartography geographical time-space; transport; cartography
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MDPI and ACS Style

L’Hostis, A.; Abdou, F. What Is the Shape of Geographical Time-Space? A Three-Dimensional Model Made of Curves and Cones. ISPRS Int. J. Geo-Inf. 2021, 10, 340. https://doi.org/10.3390/ijgi10050340

AMA Style

L’Hostis A, Abdou F. What Is the Shape of Geographical Time-Space? A Three-Dimensional Model Made of Curves and Cones. ISPRS International Journal of Geo-Information. 2021; 10(5):340. https://doi.org/10.3390/ijgi10050340

Chicago/Turabian Style

L’Hostis, Alain, and Farouk Abdou. 2021. "What Is the Shape of Geographical Time-Space? A Three-Dimensional Model Made of Curves and Cones" ISPRS International Journal of Geo-Information 10, no. 5: 340. https://doi.org/10.3390/ijgi10050340

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