Unfolding a stack of layers

in: 20th gOcad Meeting, ASGA

Abstract

This paper presents a new 3D balanced reconstruction technique based on the Discrete Smooth Interpolation Method (DSI). in practice, this method is designed to unfold a stack of geological layers and it assumes that the top horizon has been previously unfolded thanks to any available method able to unfold a surface [8, 10]. The principle of our method is to interpolate a field of 3D restoration vectors defining the displacement of any point of the 3D space when the top horizon is flatten. This interpolation is performed thanks to the DSI method using some specific contraints allowing to preserve both the mass of the terrains and the area of the top horizon. In the past few months, a complete reformulation of the equations has been implemented and tested. While being very promising, it should be noted that this new method must be considered only as an attempt to solve this very difficult problem and forthcoming developments will help us to evaluate its actual potential.

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    BibTeX Reference

    @inproceedings{MalletRM2000,
     abstract = { This paper presents a new 3D balanced reconstruction technique based on the Discrete Smooth Interpolation Method (DSI). in practice, this method is designed to unfold a stack of geological layers and it assumes that the top horizon has been previously unfolded thanks to any available method able to unfold a surface [8, 10]. The principle of our method is to interpolate a field of 3D restoration vectors defining the displacement of any point of the 3D space when the top horizon is flatten. This interpolation is performed thanks to the DSI method using some specific contraints allowing to preserve both the mass of the terrains and the area of the top horizon. In the past few months, a complete reformulation of the equations has been implemented and tested. While being very promising, it should be noted that this new method must be considered only as an attempt to solve this very difficult problem and forthcoming developments will help us to evaluate its actual potential. },
     author = { Mallet, Jean-Laurent },
     booktitle = { 20th gOcad Meeting },
     month = { "june" },
     publisher = { ASGA },
     title = { Unfolding a stack of layers },
     year = { 2000 }
    }