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}
}
