From Triangulated Surfaces to Curvilinear Grids

in: Proc. 13^{th}$ Gocad Meeting, Nancy

Abstract

In the geologieal field, triangulated surfaces are usually a more flexible way of representing horizons and faults than eurvilinear grids. However, for many purposes it may often be interesting to be able to transform a triangulated surface into a curvilinear gridded surface. Building a 3D stratigraphie grids is a good example of it. This technique requires that a curvilinear grid is mapped onto previously eonstructed triangulated surfaces (stratigraphie horizons) whieh cons train the building of the stratigraphie layers. This paper presents an original method to map a eurvilinear grid onto any triangulated surface assuming we ean determine four main borders to the surface in question.

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    BibTeX Reference

    @INPROCEEDINGS{Bombarde96GM,
        author = { Bombarde, Sebastien and Mallet, Jean-Laurent },
         title = { From Triangulated Surfaces to Curvilinear Grids },
     booktitle = { Proc. 13^{th}$ Gocad Meeting, Nancy },
          year = { 1996 },
      abstract = { In the geologieal field, triangulated surfaces are usually a more flexible way of representing
    horizons and faults than eurvilinear grids. However, for many purposes it may often
    be interesting to be able to transform a triangulated surface into a curvilinear gridded surface.
    Building a 3D stratigraphie grids is a good example of it. This technique requires that
    a curvilinear grid is mapped onto previously eonstructed triangulated surfaces (stratigraphie
    horizons) whieh cons train the building of the stratigraphie layers. This paper presents an
    original method to map a eurvilinear grid onto any triangulated surface assuming we ean
    determine four main borders to the surface in question. }
    }