AdaHRBF v1.0: gradient-adaptive Hermite–Birkhoff radial basis function interpolants for three-dimensional stratigraphic implicit modeling

Zhang, Baoyi; Du, Linze; Khan, Umair; Tong, Yongqiang; Wang, Lifang; Deng, Hao

doi:https://doi.org/10.5194/gmd-16-3651-2023

Articles | Volume 16, issue 13

https://doi.org/10.5194/gmd-16-3651-2023

© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/gmd-16-3651-2023

© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 16, issue 13

Development and technical paper

|

05 Jul 2023

Development and technical paper |

| 05 Jul 2023

AdaHRBF v1.0: gradient-adaptive Hermite–Birkhoff radial basis function interpolants for three-dimensional stratigraphic implicit modeling

Baoyi Zhang, Linze Du, Umair Khan, Yongqiang Tong, Lifang Wang, and Hao Deng

Model code and software

csugeo3d/AdaHRBF: AdaHRBF (AdaHRBF) Baoyi Zhang https://doi.org/10.5281/zenodo.7340093

Short summary

We propose a Hermite–Birkhoff radial basis function (HRBF) formulation, AdaHRBF, with an adaptive gradient magnitude for continuous 3D stratigraphic potential field (SPF) modeling of multiple stratigraphic interfaces. In the linear system of HRBF interpolants constrained by the scattered on-contact attribute points and off-contact attitude points of a set of strata in 3D space, we add a novel optimization term to iteratively obtain the true gradient magnitude.