3D-reconstruction of complex geological interfaces
from irregularly distributed and noisy point data
Authors
Tobias Frank and Anne-Laure Tertois and Jean-Laurent Mallet
Journal/Article/Conference
Computers and Geosciences
Abstract
In this paper we introduce a new, precise and adaptive method for the implicit reconstruction of faulted surfaces with
complex geometry from scattered, unorganized points as obtained from seismic data or laser scanners. We embed the point
set into a 3d-complex on which a 3d-implicit function is interpolated. The 3d-complex is a set of tetrahedrons and the
implicit function represents a surface that lies as close as possible to the input data points. The density of the 3d-complex
can be adapted to efficiently control both the precision of the implicit function and the size of triangles of the reconstructed
surface. Discontinuities in the topology of the tetrahedral mesh make it possible to reconstruct discontinuous, bounded
surfaces and very close parallel patches without introducing unwanted connections (topological ‘‘handles’’) between these
regions. To compute the implicit function we use the discrete smooth interpolation (DSI) method with a set of boundary,
off-boundary and smoothness constraints. The interpolation problem does not primarily depend on the number of input
data points but on the magnitude of the 3d-complex. This method can be applied to the construction of faulted horizons
and salt-top surfaces.
BibTeX Reference
@article{Frank07,
| author
|
=
{Tobias Frank and Anne-Laure Tertois and Jean-Laurent Mallet},
|
| title
|
=
{3D-reconstruction of complex geological interfaces
|
| journal
|
=
{Computers and Geosciences},
|
| volume
|
=
{33},
|
| pages
|
=
{932--943},
|
| year
|
=
{2007},
|
| abstract
|
=
{In this paper we introduce a new, precise and adaptive method for the implicit reconstruction of faulted surfaces with
|
}
