I have GIS data for which I would like to calculate where curvature is present. Anyone has done this before, please help.
closed as not a real question by whuber♦ Aug 20 '11 at 1:17
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Curvature is defined for curves that can be derived 2 times. The problem is that polylines are not derivable everywhere. So, the curvature cannot be computed and has to be approximated.
I know a perfect document that gives an exhaustive state of the art of methods to compute curvature approximations for polylines but... it is in French...!
See annexes, pp 16 to 24, of this document: Barrault Mathieu, 1998, Résolution d'un problème à forte combinatoire et présentant un grand nombre de contraintes variées : le placement cartographique des écritures
Most of these methods are based on the distribution theory.