Articles | Volume 14, issue 3
https://doi.org/10.5194/esurf-14-493-2026
https://doi.org/10.5194/esurf-14-493-2026
Research article
 | 
29 Jun 2026
Research article |  | 29 Jun 2026

Discrete differential geometry of fluvial landscapes

Nathaniel Klema, Leif Karlstrom, and Joshua Roering

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Short summary
Geomorphology is built on process models that take topographic geometry as inputs. However, many studies calculate these metrics on 2-D projections of topography rather than on true surfaces in 3-D space. In this work we apply classical surface theory to fluvial topography of the Oregon Coast Range, USA. This formal approach improves the accuracy of geometry calculations, extracts more information than standard methods, and sheds light on the organizational structure of landscapes.
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