High-Order Elements in Position Based Dynamics - Archive ouverte HAL
Journal Articles The Visual Computer Year : 2024

High-Order Elements in Position Based Dynamics

Bastien Saillant
Florence Zara
Guillaume Damiand
Fabrice Jaillet

Abstract

The simulation of deformable objects has been the subject of a great deal of work in the field of computer graphics. The constraint-based PBD (Position-Based Dynamics) approach has been proven to be effective in this field for real-time and stable deformable objects simulation. Finite element method with linear tetrahedron discretization is the most widely used in computer graphics despite producing less accurate results than hexahedral or higher-order elements. In this context, our proposal is to integrate higher degree elements within the PBD framework. In addition, we propose a solution to improve convergence of unstable energies (like Neo-Hooke) when used as constraints. We show that our approach improves accuracy compared to linear tetrahedra. We also highlight the time savings, since fewer elements are needed.
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Dates and versions

hal-04569181 , version 1 (06-05-2024)

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Bastien Saillant, Florence Zara, Guillaume Damiand, Fabrice Jaillet. High-Order Elements in Position Based Dynamics. The Visual Computer, 2024, 40, pp.4737-4749. ⟨10.1007/s00371-024-03467-3⟩. ⟨hal-04569181⟩
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