Level sets: a general framework for geological applications

@inproceedings{LedezRM2002,
 abstract = { The aim of this paper is the generalization of the research work based on implicit representation: geological objects are considered as level sets of a user-defined potential. The basic idea is to approximate the potential function by the Euclidean distance in the embedding space, thereby performing all the computations in a Cartesian grid with classical and computationally optimal numerics. Based on work on geodesics on Riemannian manifolds with boundaries, the classical Euclidean distance approach is extended to solve more general class of Hamilton-Jacobi equations defined on hyper-surfaces. The framework here introduced thereby allows to propose new applications of implicit modelling to geology. },
 author = { Ledez, David },
 booktitle = { 22th gOcad Meeting },
 month = { "june" },
 publisher = { ASGA },
 title = { Level sets: a general framework for geological applications },
 year = { 2002 }
}