App. Res. of Comp. Accepted Paper
Vol. 43, 2026 No. 10

Efficient hair simulation based on implicit-explicit of discrete elastic rod

Li Xin1
Zhang Jianwei2
Li Hui2
1. College of Computer Science, Sichuan University, Chengdu 610065, China
2. National Key Laboratory of Fundamental Science on Synthetic Vision, Sichuan University, Chengdu 610065, China
DOI: 10.19734/j.issn.1001-3695.2025.12.0541

Abstract

In the field of hair simulation, the discrete elastic rod (DER) model has become a mainstream approach for capturing the bending and twisting dynamics of hair strands. However, existing implicit integrators require solving linear systems with a bandwidth of 10, which severely limits performance and hinders real-time applications. To address this problem, this study proposes an IMplicit-EXplicit (IMEX) solver. By treating the angle–position coupling terms in the implicit system explicitly, the system is reformulated into a block pentadiagonal subsystem and a tridiagonal subsystem, which are solved using a block LU Factorization method and the Thomas algorithm, respectively. To mitigate the numerical errors introduced by explicit inversions in standard block LU methods, local Cholesky factorization is adopted as a replacement. Furthermore, to overcome the stability problem of explicit terms in IMEX, an outer-iteration stabilization strategy is introduced to maintain stability under large timestep. Experiments shows that, under realistic hair parameters, this method achieves a performance improvement of 79.26% using 500 guide hairs, while enabling stable simulation with timestep of 6 ms.

Foundation Support

国家重点研发计划(2024YFF0907500)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2025.12.0541
Publish at: Application Research of Computers Accepted Paper, Vol. 43, 2026 No. 10

Publish History

[2026-07-03] Accepted Paper

Cite This Article

李鑫, 张建伟, 李辉. 基于离散弹性棒模型显隐式混合方法的毛发模拟 [J]. 计算机应用研究, 2026, 43 (10). (2026-07-30). https://doi.org/10.19734/j.issn.1001-3695.2025.12.0541. (Li Xin, Zhang Jianwei, Li Hui. Efficient hair simulation based on implicit-explicit of discrete elastic rod [J]. Application Research of Computers, 2026, 43 (10). (2026-07-30). https://doi.org/10.19734/j.issn.1001-3695.2025.12.0541. )

About the Journal

  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

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