Morphological analysis of terrains based on discrete curvature and distortion

TitleMorphological analysis of terrains based on discrete curvature and distortion
Publication TypeConference Papers
Year of Publication2008
AuthorsMesmoudi M M, De Floriani L, Magillo P
Conference NameProceedings of the 16th ACM SIGSPATIAL international conference on Advances in geographic information systems
Date Published2008///
Conference LocationNew York, NY, USA
ISBN Number978-1-60558-323-5
Keywordscurvature, Morphology, terrain modeling

In order to characterize the morphology of a triangulated terrain, we define several discrete estimators that mimic mean and Gaussian curvatures in the discrete case. We start from concentrated curvature, a discrete notion of Gaussian curvature for polyhedral surfaces, defined by Troyanov [7]. Since concentrated curvature does not depend on the local geometric shape of the terrain, we introduce Ccurvature that allows us to obtain discrete counterparts of both Gaussian and mean curvature. Finally, we define distortion, which behaves as an approximation of mean curvature. We apply all such measures to the analysis of the morphology of triangulated terrains.