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


Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on egusphere-2022-1304', Italo Goncalves, 17 Feb 2023
    • AC1: 'Reply on RC1', Baoyi Zhang, 08 Mar 2023
  • RC2: 'Comment on egusphere-2022-1304', Lachlan Grose, 20 Feb 2023
    • AC3: 'Reply on RC2', Baoyi Zhang, 27 Mar 2023
  • RC3: 'Comment on egusphere-2022-1304', Michal Michalak, 03 Mar 2023
    • AC4: 'Reply on RC3', Baoyi Zhang, 28 Mar 2023
  • CC1: 'Comment on egusphere-2022-1304', Michael Hillier, 17 Mar 2023
    • EC1: 'Reply on CC1', Thomas Poulet, 20 Mar 2023
    • AC2: 'Reply on CC1', Baoyi Zhang, 20 Mar 2023

Peer review completion

AR: Author's response | RR: Referee report | ED: Editor decision | EF: Editorial file upload
AR by Baoyi Zhang on behalf of the Authors (21 Apr 2023)  Author's response   Author's tracked changes   Manuscript 
ED: Referee Nomination & Report Request started (02 May 2023) by Thomas Poulet
RR by Michal Michalak (09 May 2023)
RR by Italo Goncalves (14 May 2023)
RR by Lachlan Grose (16 May 2023)
ED: Publish subject to minor revisions (review by editor) (18 May 2023) by Thomas Poulet
AR by Baoyi Zhang on behalf of the Authors (25 May 2023)  Author's response   Author's tracked changes   Manuscript 
ED: Publish as is (01 Jun 2023) by Thomas Poulet
AR by Baoyi Zhang on behalf of the Authors (02 Jun 2023)  Manuscript 
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.