ISO TC 211 Geographic information/Geomatics Committee site

ISO/TC 211 Geolexica

Concept geodesic <differential geometry, geodesy>”

Term ID

2055

source

ISO 19107:2019, (E), 3.43

eng

geodesic <differential geometry, geodesy>

geodesic line <differential geometry

geodesy>

curve on a surface with a zero-length tangential curvature vector

Note to entry: A geodesic's curvature vector is perpendicular the surface thus has the minimum curvature of any curve restricted to the surface. This is often defined as a minimal distance curve between two points, but this does not always suffice, since some points (especially on ellipsoids and spheres) are often joined by more than one geodesic. For example, on an ellipsoid the points with (φ, λ) = (0, 0) and (0, 180) are joined by four separate geodesic [2 polar (the shorter) and 2 equatorial]. The exponential map is only guaranteed to be one-to-one for a small area (depending on where the centre is and how the surface is curved).

ORIGIN: ISO/TC 211 Glossary of Terms - English (last updated: 2020-06-02)

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info

  • status: valid
  • classification: preferred
  • date accepted: 2019-12-02

Review

last review performed:
(2019-12-02)
status:
final
decision:
accepted
decision event:
Normal ISO processing
notes:
Publication of document ISO 19107:2019(E)