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Authors: Avirup Mandal 1 ; Parag Chaudhuri 2 and Subhasis Chaudhuri 3

Affiliations: 1 Department of Computer Science and Engineering, Indian Institute of Technology Palakkad, Kanjikode, India ; 2 Department of Computer Science and Engineering, Indian Institute of Technology Bombay, Mumbai, India ; 3 Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, India

Keyword(s): Interactive Fracture, Graph-Based FEM, Galerkin Multigrid, Sculpting.

Abstract: Physically-based fracture and cutting simulations are rarely incorporated in interactive graphics systems because the required computation stifles the speed of interaction. We enhance a physically based method for object deformation and fracture by using multigrid approximations to expedite the full dynamics solve of the system. Our method combines a Galerkin multigrid approach with the graph-based Finite Element Method so that remeshing-free fracture and cutting simulation can be done by solving the system dynamics on a hierarchy of coarse to fine meshes while accumulating residual error that is fully resolved only at the coarsest level. We demonstrate the effectiveness of our algorithm by using it to develop an interactive virtual sculpting framework that enables users to shape object meshes in a physically consistent manner. We compare our method with other state-of-the-art virtual 3D object editing solutions to show that our method can provide better physically consistent solutio ns at interactive speeds. (More)

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Paper citation in several formats:
Mandal, A., Chaudhuri, P. and Chaudhuri, S. (2025). Galerkin Enhanced Graph-Based FEM for Interactive Fracture and Sculpting Applications. In Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - GRAPP; ISBN 978-989-758-728-3; ISSN 2184-4321, SciTePress, pages 65-76. DOI: 10.5220/0013142800003912

@conference{grapp25,
author={Avirup Mandal and Parag Chaudhuri and Subhasis Chaudhuri},
title={Galerkin Enhanced Graph-Based FEM for Interactive Fracture and Sculpting Applications},
booktitle={Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - GRAPP},
year={2025},
pages={65-76},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013142800003912},
isbn={978-989-758-728-3},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - GRAPP
TI - Galerkin Enhanced Graph-Based FEM for Interactive Fracture and Sculpting Applications
SN - 978-989-758-728-3
IS - 2184-4321
AU - Mandal, A.
AU - Chaudhuri, P.
AU - Chaudhuri, S.
PY - 2025
SP - 65
EP - 76
DO - 10.5220/0013142800003912
PB - SciTePress