Curvature analysis of triangulated surfaces in structural geology

in: Mathematical Geology, 29:3 (391--412)

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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    BibTeX Reference

    @ARTICLE{samson1997curvature,
        author = { Samson, Philippe and Mallet, Jean-Laurent },
         title = { Curvature analysis of triangulated surfaces in structural geology },
       journal = { Mathematical Geology },
        volume = { 29 },
        number = { 3 },
          year = { 1997 },
         pages = { 391--412 },
     publisher = { Springer },
      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. }
    }