PhysSFI-Net: Physics-informed Geometric Learning of Skeletal and Facial Interactions for Orthognathic Surgical Outcome Prediction

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Hauptverfasser: Bao, Jiahao, Liu, Huazhen, Zhuang, Yu, Tao, Leran, Xu, Xinyu, Shi, Yongtao, Cheng, Mengjia, Wang, Yiming, Ku, Congshuang, Zeng, Ting, Du, Yilang, Chen, Siyi, Shen, Shunyao, Xiang, Suncheng, Yu, Hongbo
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Veröffentlicht: 2026
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author Bao, Jiahao
Liu, Huazhen
Zhuang, Yu
Tao, Leran
Xu, Xinyu
Shi, Yongtao
Cheng, Mengjia
Wang, Yiming
Ku, Congshuang
Zeng, Ting
Du, Yilang
Chen, Siyi
Shen, Shunyao
Xiang, Suncheng
Yu, Hongbo
author_facet Bao, Jiahao
Liu, Huazhen
Zhuang, Yu
Tao, Leran
Xu, Xinyu
Shi, Yongtao
Cheng, Mengjia
Wang, Yiming
Ku, Congshuang
Zeng, Ting
Du, Yilang
Chen, Siyi
Shen, Shunyao
Xiang, Suncheng
Yu, Hongbo
contents Orthognathic surgery repositions jaw bones to restore occlusion and enhance facial aesthetics. Accurate simulation of postoperative facial morphology is essential for preoperative planning. However, traditional biomechanical models are computationally expensive, while geometric deep learning approaches often lack interpretability. In this study, we develop and validate a physics-informed geometric deep learning framework named PhysSFI-Net for precise prediction of soft tissue deformation following orthognathic surgery. PhysSFI-Net consists of three components: a hierarchical graph module with craniofacial and surgical plan encoders combined with attention mechanisms to extract skeletal-facial interaction features; a Long Short-Term Memory (LSTM)-based sequential predictor for incremental soft tissue deformation; and a biomechanics-inspired module for high-resolution facial surface reconstruction. Model performance was assessed using point cloud shape error (Hausdorff distance), surface deviation error, and landmark localization error (Euclidean distances of craniomaxillofacial landmarks) between predicted facial shapes and corresponding ground truths. A total of 135 patients who underwent combined orthodontic and orthognathic treatment were included for model training and validation. Quantitative analysis demonstrated that PhysSFI-Net achieved a point cloud shape error of 1.070 +/- 0.088 mm, a surface deviation error of 1.296 +/- 0.349 mm, and a landmark localization error of 2.445 +/- 1.326 mm. Comparative experiments indicated that PhysSFI-Net outperformed the state-of-the-art method ACMT-Net in prediction accuracy. In conclusion, PhysSFI-Net enables interpretable, high-resolution prediction of postoperative facial morphology with superior accuracy, showing strong potential for clinical application in orthognathic surgical planning and simulation.
format Preprint
id arxiv_https___arxiv_org_abs_2601_02088
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle PhysSFI-Net: Physics-informed Geometric Learning of Skeletal and Facial Interactions for Orthognathic Surgical Outcome Prediction
Bao, Jiahao
Liu, Huazhen
Zhuang, Yu
Tao, Leran
Xu, Xinyu
Shi, Yongtao
Cheng, Mengjia
Wang, Yiming
Ku, Congshuang
Zeng, Ting
Du, Yilang
Chen, Siyi
Shen, Shunyao
Xiang, Suncheng
Yu, Hongbo
Computer Vision and Pattern Recognition
Orthognathic surgery repositions jaw bones to restore occlusion and enhance facial aesthetics. Accurate simulation of postoperative facial morphology is essential for preoperative planning. However, traditional biomechanical models are computationally expensive, while geometric deep learning approaches often lack interpretability. In this study, we develop and validate a physics-informed geometric deep learning framework named PhysSFI-Net for precise prediction of soft tissue deformation following orthognathic surgery. PhysSFI-Net consists of three components: a hierarchical graph module with craniofacial and surgical plan encoders combined with attention mechanisms to extract skeletal-facial interaction features; a Long Short-Term Memory (LSTM)-based sequential predictor for incremental soft tissue deformation; and a biomechanics-inspired module for high-resolution facial surface reconstruction. Model performance was assessed using point cloud shape error (Hausdorff distance), surface deviation error, and landmark localization error (Euclidean distances of craniomaxillofacial landmarks) between predicted facial shapes and corresponding ground truths. A total of 135 patients who underwent combined orthodontic and orthognathic treatment were included for model training and validation. Quantitative analysis demonstrated that PhysSFI-Net achieved a point cloud shape error of 1.070 +/- 0.088 mm, a surface deviation error of 1.296 +/- 0.349 mm, and a landmark localization error of 2.445 +/- 1.326 mm. Comparative experiments indicated that PhysSFI-Net outperformed the state-of-the-art method ACMT-Net in prediction accuracy. In conclusion, PhysSFI-Net enables interpretable, high-resolution prediction of postoperative facial morphology with superior accuracy, showing strong potential for clinical application in orthognathic surgical planning and simulation.
title PhysSFI-Net: Physics-informed Geometric Learning of Skeletal and Facial Interactions for Orthognathic Surgical Outcome Prediction
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2601.02088