Neural-Augmented Kelvinlet for Real-Time Soft Tissue Deformation Modeling

Fuente: arXiv
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Main Authors: Shahbazi, Ashkan, Pereira, Kyvia, Heiselman, Jon S., Akbari, Elaheh, Benson, Annie C., Seifi, Sepehr, Liu, Xinyuan, Johnston, Garrison L., Wu, Jie Ying, Simaan, Nabil, Miga, Michael I., Kolouri, Soheil
Format: Preprint
Published: 2025
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author Shahbazi, Ashkan
Pereira, Kyvia
Heiselman, Jon S.
Akbari, Elaheh
Benson, Annie C.
Seifi, Sepehr
Liu, Xinyuan
Johnston, Garrison L.
Wu, Jie Ying
Simaan, Nabil
Miga, Michael I.
Kolouri, Soheil
author_facet Shahbazi, Ashkan
Pereira, Kyvia
Heiselman, Jon S.
Akbari, Elaheh
Benson, Annie C.
Seifi, Sepehr
Liu, Xinyuan
Johnston, Garrison L.
Wu, Jie Ying
Simaan, Nabil
Miga, Michael I.
Kolouri, Soheil
contents Accurate and efficient modeling of soft-tissue interactions is fundamental for advancing surgical simulation, surgical robotics, and model-based surgical automation. To achieve real-time latency, classical Finite Element Method (FEM) solvers are often replaced with neural approximations; however, naively training such models in a fully data-driven manner without incorporating physical priors frequently leads to poor generalization and physically implausible predictions. We present a novel physics-informed neural simulation framework that enables real-time prediction of soft-tissue deformations under complex single- and multi-grasper interactions. Our approach integrates Kelvinlet-based analytical priors with large-scale FEM data, capturing both linear and nonlinear tissue responses. This hybrid design improves predictive accuracy and physical plausibility across diverse neural architectures while maintaining the low-latency performance required for interactive applications. We validate our method on challenging surgical manipulation tasks involving standard laparoscopic grasping tools, demonstrating substantial improvements in deformation fidelity and temporal stability over existing baselines. These results establish Kelvinlet-augmented learning as a principled and computationally efficient paradigm for real-time, physics-aware soft-tissue simulation in surgical AI.
format Preprint
id arxiv_https___arxiv_org_abs_2506_08043
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Neural-Augmented Kelvinlet for Real-Time Soft Tissue Deformation Modeling
Shahbazi, Ashkan
Pereira, Kyvia
Heiselman, Jon S.
Akbari, Elaheh
Benson, Annie C.
Seifi, Sepehr
Liu, Xinyuan
Johnston, Garrison L.
Wu, Jie Ying
Simaan, Nabil
Miga, Michael I.
Kolouri, Soheil
Graphics
Computer Vision and Pattern Recognition
Machine Learning
Robotics
Accurate and efficient modeling of soft-tissue interactions is fundamental for advancing surgical simulation, surgical robotics, and model-based surgical automation. To achieve real-time latency, classical Finite Element Method (FEM) solvers are often replaced with neural approximations; however, naively training such models in a fully data-driven manner without incorporating physical priors frequently leads to poor generalization and physically implausible predictions. We present a novel physics-informed neural simulation framework that enables real-time prediction of soft-tissue deformations under complex single- and multi-grasper interactions. Our approach integrates Kelvinlet-based analytical priors with large-scale FEM data, capturing both linear and nonlinear tissue responses. This hybrid design improves predictive accuracy and physical plausibility across diverse neural architectures while maintaining the low-latency performance required for interactive applications. We validate our method on challenging surgical manipulation tasks involving standard laparoscopic grasping tools, demonstrating substantial improvements in deformation fidelity and temporal stability over existing baselines. These results establish Kelvinlet-augmented learning as a principled and computationally efficient paradigm for real-time, physics-aware soft-tissue simulation in surgical AI.
title Neural-Augmented Kelvinlet for Real-Time Soft Tissue Deformation Modeling
topic Graphics
Computer Vision and Pattern Recognition
Machine Learning
Robotics
url https://arxiv.org/abs/2506.08043