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Journal Articles Mathematical Geology Year : 1997

Curvature analysis of triangulated surfaces in structural geology

Abstract

This paper addresses the problem of characterizing the shape of a geological surface on the basis of its principal curvatures. The surface is assumed to be modeled as a set of adjacent triangles defined by the location of their vertices and a method is proposed for estimating numerically the principal curvatures at the vertices of the triangles using a local C2 interpolant. Also shown is how principal curvatures can be useful for studying the deformation of a geological surface (with application to 3D balanced unfolding), and analyzing the folding or faulting of the interface between two adjacent layers.
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Dates and versions

hal-04041368 , version 1 (22-03-2023)

Identifiers

  • HAL Id : hal-04041368 , version 1

Cite

Philippe Samson, Jean Laurent Mallet. Curvature analysis of triangulated surfaces in structural geology. Mathematical Geology, 1997, 29 (3), pp.391-412. ⟨hal-04041368⟩
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