Metro Line Curvature Analysis


Publisher: Michelin Date: 29/03/2022

This dataset shows the results of a curvature analysis for the Paris Metro's line 14.

The curvature radius is computed on each segment of the metro line's geographical path. The curvature radius on each segment is interpolated from the curvature radius on the segment bounds since only a series of points on the path is available. Please check out our tutorial for a detailed explanation of the calculations.

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The curvature radius at a given point (column "circumradius") is approximated by the circumradius of the triangle formed with the surrounding points (see metro curvature tutorial). It is arbitrarily set as 100 km for the first and last points of the line.

The curvature radius of a section of the line (column "curve_radius") is defined as the harmonic mean of the curvature radius of the current point (as defined above) and the next one.

Title Description Type Unit
circumradius Estimated curvature radius at a given point float64 m
curve_radius Estimated curvature radius of the section between the current point and the next point float64 m
latitude Latitude of the point (WSG84) float64 °
longitude Longitude of the point (WSG84) float64 °
circumradius curve_radius latitude longitude
848.4620595087 991.0396613253 48.902294 2.317954
1191.2141469328 2206.4749682711 48.901945 2.31708
14937.962599897 12089.12137784 48.901536 2.315556
4303.2680226795 2997.9871013546 48.901081 2.31377
2300.2637856011 1059.02826455 48.900492 2.31186
687.8567956505 480.1887103947 48.900101 2.310862
368.8351654791 218.6584059335 48.899815 2.310348
155.3893185249 174.4621168083 48.899473 2.309924
198.8720764821 151.8584720061 48.89917 2.309731
122.8229701769 183.773493644 48.898719 2.309575
364.8086915813 299.2085164958 48.898228 2.309629
253.6050622241 408.3042177024 48.897883 2.309713
1046.9346062716 758.4067963031 48.897531 2.309862
594.5523520735 523.5496389052 48.897067 2.310085
467.6963417373 975.242617869 48.896417 2.3105
11445.875924649 316.0007280218 48.894827 2.313262
160.2119506725 215.0627702311 48.894675 2.313516
327.0240701811 278.1031009342 48.894222 2.313912
241.9141056784 324.8093538893 48.893755 2.314182
494.1298510974 2025.3652976782 48.89329 2.31432
Bibendum pose

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