Anisotropic {Smoothing} {Energy} for {Geological} {Data} {Interpolation}
Ayoub Belhachmi. ( 2025 )
in: 2025 {RING} meeting, pages 45--53, ASGA
Abstract
Smoothing energies are essential for constructing geological models, particularly in implicit modeling, where an implicit function interpolates scattered data points associated with geological age values. However, this task is challenging due to data sparsity, complex geological geometries, and discontinuities. Regularization through smoothing energies ensures geological consistency and smoothness. Yet, conventional smoothing energies are typically isotropic, making them inadequate for geological structures with strong anisotropic thickness variations. This often leads to strong oscillations.
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BibTeX Reference
@inproceedings{Belhachmi2025RMa,
abstract = {Smoothing energies are essential for constructing geological models, particularly in implicit modeling, where an implicit function interpolates scattered data points associated with geological age values. However, this task is challenging due to data sparsity, complex geological geometries, and discontinuities. Regularization through smoothing energies ensures geological consistency and smoothness. Yet, conventional smoothing energies are typically isotropic, making them inadequate for geological structures with strong anisotropic thickness variations. This often leads to strong oscillations.},
author = {Belhachmi, Ayoub},
booktitle = {2025 {RING} meeting},
language = {en},
pages = {45--53},
publisher = {ASGA},
title = {Anisotropic {Smoothing} {Energy} for {Geological} {Data} {Interpolation}},
year = {2025}
}
