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} }