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High-order elements in position-based dynamics

delete2024-06-07
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OA
AI
B
Bastien Saillant *
F
Florence Zara
G
Guillaume Damiand
F
Fabrice Jaillet
DOI:10.1007/s00371-024-03467-3delete
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Abstract

Abstract

En 中文
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.
Keywords:
Physical based simulation
Position-based dynamics
High-order elements
Elasticity
Real-time physics

Journal

Visual Computer cover
Visual Computer
IF:
2.9
Papers:
4.5K
Citations:
6.5K

Organization

C
centre national de la recherche scientifique (cnrs)
Scholars:
24.5W
Papers: 18.2W
Citations: 279