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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Bibliographic Details
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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Summary: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.
ISSN:0882-8121
1874-8961
1573-8868
1874-8953
DOI:10.1007/BF02769642