Euclidean Distance Mapping: Geological Applications

David Ledez. ( 2002 )
in: International Association for Mathematical Geosciences 7th Annual Conference, pages 25-30

Abstract

Most of the CAD geomodelers use explicit representation of geological models, such as piecewise linear curves, triangulated surfaces. Another possible approach is an implicit formulation: a function φ is defined overall the domain Ω. The geological features are then the zero level set of the predefined function. Here the basic idea is to approximate the potential function φ by the Euclidean distance in the embedding space, thereby performing all the computations in a Cartesian grid with classical and computationally optimal numerics.

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BibTeX Reference

@inproceedings{ledez:hal-04055807,
 abstract = {Most of the CAD geomodelers use explicit representation of geological models, such as piecewise linear curves, triangulated surfaces. Another possible approach is an implicit formulation: a function φ is defined overall the domain Ω. The geological features are then the zero level set of the predefined function. Here the basic idea is to approximate the potential function φ by the Euclidean distance in the embedding space, thereby performing all the computations in a Cartesian grid with classical and computationally optimal numerics.},
 address = {Berlin, Germany},
 author = {Ledez, David},
 booktitle = {{International Association for Mathematical Geosciences 7th Annual Conference}},
 hal_id = {hal-04055807},
 hal_version = {v1},
 pages = {25-30},
 title = {{Euclidean Distance Mapping: Geological Applications}},
 url = {https://hal.univ-lorraine.fr/hal-04055807},
 volume = {4},
 year = {2002}
}