Curvature analysis of triangulated surfaces in structural geology

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 princip...

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Published in:Mathematical geology 1997, Vol.29 (3), p.391-412
Main Authors: SAMSON, P, MALLET, J.-L
Format: Article
Language:English
Subjects:
Apexes
Deformation
Earth sciences
Earth, ocean, space
Exact sciences and technology
General geology
Geology
Sciences of the Universe
Structural geology
Studies
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description 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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subjects Apexes
Deformation
Earth sciences
Earth, ocean, space
Exact sciences and technology
General geology
Geology
Sciences of the Universe
Structural geology
Studies
title Curvature analysis of triangulated surfaces in structural geology
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