Learning Flexible Body Collision Dynamics with Hierarchical Contact Mesh Transformer

Fuente: arXiv
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Autores principales: Yu, Youn-Yeol, Choi, Jeongwhan, Cho, Woojin, Lee, Kookjin, Kim, Nayong, Chang, Kiseok, Woo, Chang-Seung, Kim, Ilho, Lee, Seok-Woo, Yang, Joon-Young, Yoon, Sooyoung, Park, Noseong
Formato: Preprint
Publicado: 2023
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author Yu, Youn-Yeol
Choi, Jeongwhan
Cho, Woojin
Lee, Kookjin
Kim, Nayong
Chang, Kiseok
Woo, Chang-Seung
Kim, Ilho
Lee, Seok-Woo
Yang, Joon-Young
Yoon, Sooyoung
Park, Noseong
author_facet Yu, Youn-Yeol
Choi, Jeongwhan
Cho, Woojin
Lee, Kookjin
Kim, Nayong
Chang, Kiseok
Woo, Chang-Seung
Kim, Ilho
Lee, Seok-Woo
Yang, Joon-Young
Yoon, Sooyoung
Park, Noseong
contents Recently, many mesh-based graph neural network (GNN) models have been proposed for modeling complex high-dimensional physical systems. Remarkable achievements have been made in significantly reducing the solving time compared to traditional numerical solvers. These methods are typically designed to i) reduce the computational cost in solving physical dynamics and/or ii) propose techniques to enhance the solution accuracy in fluid and rigid body dynamics. However, it remains under-explored whether they are effective in addressing the challenges of flexible body dynamics, where instantaneous collisions occur within a very short timeframe. In this paper, we present Hierarchical Contact Mesh Transformer (HCMT), which uses hierarchical mesh structures and can learn long-range dependencies (occurred by collisions) among spatially distant positions of a body -- two close positions in a higher-level mesh correspond to two distant positions in a lower-level mesh. HCMT enables long-range interactions, and the hierarchical mesh structure quickly propagates collision effects to faraway positions. To this end, it consists of a contact mesh Transformer and a hierarchical mesh Transformer (CMT and HMT, respectively). Lastly, we propose a flexible body dynamics dataset, consisting of trajectories that reflect experimental settings frequently used in the display industry for product designs. We also compare the performance of several baselines using well-known benchmark datasets. Our results show that HCMT provides significant performance improvements over existing methods. Our code is available at https://github.com/yuyudeep/hcmt.
format Preprint
id arxiv_https___arxiv_org_abs_2312_12467
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Learning Flexible Body Collision Dynamics with Hierarchical Contact Mesh Transformer
Yu, Youn-Yeol
Choi, Jeongwhan
Cho, Woojin
Lee, Kookjin
Kim, Nayong
Chang, Kiseok
Woo, Chang-Seung
Kim, Ilho
Lee, Seok-Woo
Yang, Joon-Young
Yoon, Sooyoung
Park, Noseong
Machine Learning
Artificial Intelligence
Computational Engineering, Finance, and Science
Recently, many mesh-based graph neural network (GNN) models have been proposed for modeling complex high-dimensional physical systems. Remarkable achievements have been made in significantly reducing the solving time compared to traditional numerical solvers. These methods are typically designed to i) reduce the computational cost in solving physical dynamics and/or ii) propose techniques to enhance the solution accuracy in fluid and rigid body dynamics. However, it remains under-explored whether they are effective in addressing the challenges of flexible body dynamics, where instantaneous collisions occur within a very short timeframe. In this paper, we present Hierarchical Contact Mesh Transformer (HCMT), which uses hierarchical mesh structures and can learn long-range dependencies (occurred by collisions) among spatially distant positions of a body -- two close positions in a higher-level mesh correspond to two distant positions in a lower-level mesh. HCMT enables long-range interactions, and the hierarchical mesh structure quickly propagates collision effects to faraway positions. To this end, it consists of a contact mesh Transformer and a hierarchical mesh Transformer (CMT and HMT, respectively). Lastly, we propose a flexible body dynamics dataset, consisting of trajectories that reflect experimental settings frequently used in the display industry for product designs. We also compare the performance of several baselines using well-known benchmark datasets. Our results show that HCMT provides significant performance improvements over existing methods. Our code is available at https://github.com/yuyudeep/hcmt.
title Learning Flexible Body Collision Dynamics with Hierarchical Contact Mesh Transformer
topic Machine Learning
Artificial Intelligence
Computational Engineering, Finance, and Science
url https://arxiv.org/abs/2312.12467