Dual Domain Extrapolation

Bruno Levy. ( 2002 )
in: 22th gOcad Meeting, ASGA

Abstract

We introduce Dual Domain Extrapolation (DDE), a new method to efficiently extrapolate a triangulated surface. Our approach can be outlined as follows: starting from a triangulated surface (A), an initial parameterization is computed, using our new Least Squares Conformal Maps approach (LSCM). The surface is then extended in parameter space, by applying a constrained Delaunay triangulation (B). The new vertices are then mapped to 3D space, by minimizing an approximation of the thin plate energy (C,D). The method can generate a surface with a square border from an arbitrarily shaped surface, which can be used to provide the dead cells of a SGrid with a ’reasonable’ geometry. This may also be used as a new modeling tool, to interactively manipulate the geometry of an horizon in faulted regions, or to facilitate geostatistical simulations where multiple realizations are generated.

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    BibTeX Reference

    @inproceedings{LévyRM2002,
 abstract = { We introduce Dual Domain Extrapolation (DDE), a new method to efficiently extrapolate a triangulated surface. Our approach can be outlined as follows: starting from a triangulated surface (A), an initial parameterization is computed, using our new Least Squares Conformal Maps approach (LSCM). The surface is then extended in parameter space, by applying a constrained Delaunay triangulation (B). The new vertices are then mapped to 3D space, by minimizing an approximation of the thin plate energy (C,D). The method can generate a surface with a square border from an arbitrarily shaped surface, which can be used to provide the dead cells of a SGrid with a ’reasonable’ geometry. This may also be used as a new modeling tool, to interactively manipulate the geometry of an horizon in faulted regions, or to facilitate geostatistical simulations where multiple realizations are generated. },
 author = { Levy, Bruno },
 booktitle = { 22th gOcad Meeting },
 month = { "june" },
 publisher = { ASGA },
 title = { Dual Domain Extrapolation },
 year = { 2002 }
}