Research on 3D Modeling Method of Tunnel Surrounding Rock Structural Planes Based on B-Spline Interpolation

To address the limitations of traditional tunnel structural plane modeling—such as low automation, insufficient smoothness, and poor adaptability to real construction environments—this study proposes a novel three-dimensional (3D) modeling framework based on B-spline interpolation combined with deep...

Full description

Saved in:
Bibliographic Details
Main Authors: Houxiang Liu, Yunxiang Liu, Ming Zhou, Longgang Liu, Jiang Liu, Zhiyong Liu, Hao Li, Pingtao Li
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/15/15/8142
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849239650966700032
author Houxiang Liu
Yunxiang Liu
Ming Zhou
Longgang Liu
Jiang Liu
Zhiyong Liu
Hao Li
Pingtao Li
author_facet Houxiang Liu
Yunxiang Liu
Ming Zhou
Longgang Liu
Jiang Liu
Zhiyong Liu
Hao Li
Pingtao Li
author_sort Houxiang Liu
collection DOAJ
description To address the limitations of traditional tunnel structural plane modeling—such as low automation, insufficient smoothness, and poor adaptability to real construction environments—this study proposes a novel three-dimensional (3D) modeling framework based on B-spline interpolation combined with deep learning. The method first employs YOLOv5 for rapid detection of structural regions and DeepLabV3+ for precise boundary segmentation, followed by skeleton extraction and coordinate transformation to obtain spatial structural traces. Finally, B-spline interpolation is applied across multiple tunnel sections to construct continuous 3D surfaces. In model training and testing, the segmentation network achieved an F1 score of 94.01%, and the final modeling accuracy demonstrated a mean relative error (MRE) below 2.5%, confirming the reliability of the geometric reconstruction. Additionally, the proposed method was applied to excavation face images from the Paiyashan Tunnel, where multiple structural surfaces were successfully reconstructed in 3D, validating the approach’s applicability and robustness in real geological conditions. Compared to traditional triangulated or linear surface methods, the proposed approach achieves higher smoothness, better geological continuity, and improved automation, making it suitable for real-world geotechnical applications.
format Article
id doaj-art-29cc888e9cf44d9bbb90a2b55eea31b5
institution Kabale University
issn 2076-3417
language English
publishDate 2025-07-01
publisher MDPI AG
record_format Article
series Applied Sciences
spelling doaj-art-29cc888e9cf44d9bbb90a2b55eea31b52025-08-20T04:00:54ZengMDPI AGApplied Sciences2076-34172025-07-011515814210.3390/app15158142Research on 3D Modeling Method of Tunnel Surrounding Rock Structural Planes Based on B-Spline InterpolationHouxiang Liu0Yunxiang Liu1Ming Zhou2Longgang Liu3Jiang Liu4Zhiyong Liu5Hao Li6Pingtao Li7School of Civil and Environmental Engineering, Changsha University of Science & Technology, Changsha 410114, ChinaSchool of Civil and Environmental Engineering, Changsha University of Science & Technology, Changsha 410114, ChinaSchool of Civil and Environmental Engineering, Changsha University of Science & Technology, Changsha 410114, ChinaSchool of Civil and Environmental Engineering, Changsha University of Science & Technology, Changsha 410114, ChinaSchool of Civil and Environmental Engineering, Changsha University of Science & Technology, Changsha 410114, ChinaSchool of Civil and Environmental Engineering, Changsha University of Science & Technology, Changsha 410114, ChinaSchool of Civil and Environmental Engineering, Changsha University of Science & Technology, Changsha 410114, ChinaSchool of Civil and Environmental Engineering, Changsha University of Science & Technology, Changsha 410114, ChinaTo address the limitations of traditional tunnel structural plane modeling—such as low automation, insufficient smoothness, and poor adaptability to real construction environments—this study proposes a novel three-dimensional (3D) modeling framework based on B-spline interpolation combined with deep learning. The method first employs YOLOv5 for rapid detection of structural regions and DeepLabV3+ for precise boundary segmentation, followed by skeleton extraction and coordinate transformation to obtain spatial structural traces. Finally, B-spline interpolation is applied across multiple tunnel sections to construct continuous 3D surfaces. In model training and testing, the segmentation network achieved an F1 score of 94.01%, and the final modeling accuracy demonstrated a mean relative error (MRE) below 2.5%, confirming the reliability of the geometric reconstruction. Additionally, the proposed method was applied to excavation face images from the Paiyashan Tunnel, where multiple structural surfaces were successfully reconstructed in 3D, validating the approach’s applicability and robustness in real geological conditions. Compared to traditional triangulated or linear surface methods, the proposed approach achieves higher smoothness, better geological continuity, and improved automation, making it suitable for real-world geotechnical applications.https://www.mdpi.com/2076-3417/15/15/8142tunnel engineeringstructural planeB-spline interpolation3D modeling
spellingShingle Houxiang Liu
Yunxiang Liu
Ming Zhou
Longgang Liu
Jiang Liu
Zhiyong Liu
Hao Li
Pingtao Li
Research on 3D Modeling Method of Tunnel Surrounding Rock Structural Planes Based on B-Spline Interpolation
Applied Sciences
tunnel engineering
structural plane
B-spline interpolation
3D modeling
title Research on 3D Modeling Method of Tunnel Surrounding Rock Structural Planes Based on B-Spline Interpolation
title_full Research on 3D Modeling Method of Tunnel Surrounding Rock Structural Planes Based on B-Spline Interpolation
title_fullStr Research on 3D Modeling Method of Tunnel Surrounding Rock Structural Planes Based on B-Spline Interpolation
title_full_unstemmed Research on 3D Modeling Method of Tunnel Surrounding Rock Structural Planes Based on B-Spline Interpolation
title_short Research on 3D Modeling Method of Tunnel Surrounding Rock Structural Planes Based on B-Spline Interpolation
title_sort research on 3d modeling method of tunnel surrounding rock structural planes based on b spline interpolation
topic tunnel engineering
structural plane
B-spline interpolation
3D modeling
url https://www.mdpi.com/2076-3417/15/15/8142
work_keys_str_mv AT houxiangliu researchon3dmodelingmethodoftunnelsurroundingrockstructuralplanesbasedonbsplineinterpolation
AT yunxiangliu researchon3dmodelingmethodoftunnelsurroundingrockstructuralplanesbasedonbsplineinterpolation
AT mingzhou researchon3dmodelingmethodoftunnelsurroundingrockstructuralplanesbasedonbsplineinterpolation
AT longgangliu researchon3dmodelingmethodoftunnelsurroundingrockstructuralplanesbasedonbsplineinterpolation
AT jiangliu researchon3dmodelingmethodoftunnelsurroundingrockstructuralplanesbasedonbsplineinterpolation
AT zhiyongliu researchon3dmodelingmethodoftunnelsurroundingrockstructuralplanesbasedonbsplineinterpolation
AT haoli researchon3dmodelingmethodoftunnelsurroundingrockstructuralplanesbasedonbsplineinterpolation
AT pingtaoli researchon3dmodelingmethodoftunnelsurroundingrockstructuralplanesbasedonbsplineinterpolation