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Vertex Block Descent

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Cem YukselAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 43, Issue 4

Article No.: 116, Pages 1 - 16

https://doi.org/10.1145/3658179

Published: 19 July 2024 Publication History

Abstract

We introduce vertex block descent, a block coordinate descent solution for the variational form of implicit Euler through vertex-level Gauss-Seidel iterations. It operates with local vertex position updates that achieve reductions in global variational energy with maximized parallelism. This forms a physics solver that can achieve numerical convergence with unconditional stability and exceptional computation performance. It can also fit in a given computation budget by simply limiting the iteration count while maintaining its stability and superior convergence rate.

We present and evaluate our method in the context of elastic body dynamics, providing details of all essential components and showing that it outperforms alternative techniques. In addition, we discuss and show examples of how our method can be used for other simulation systems, including particle-based simulations and rigid bodies.

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Cited By

Sung NMa JHor KKim TVa HChoi YHong M(2025)Real-Time Physics Simulation Method for XR ApplicationComputers10.3390/computers1401001714:1(17)Online publication date: 6-Jan-2025
https://doi.org/10.3390/computers14010017
Ruan LWang BLiu TChen B(2024)MiNNIE: a Mixed Multigrid Method for Real-time Simulation of Nonlinear Near-Incompressible ElasticsACM Transactions on Graphics10.1145/368775843:6(1-15)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687758

Index Terms

Vertex Block Descent
1. Computing methodologies
  1. Computer graphics
    1. Animation
      1. Collision detection
      2. Physical simulation

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cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 43, Issue 4

July 2024

1774 pages

EISSN:1557-7368

DOI:10.1145/3675116

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This work is licensed under a Creative Commons Attribution International 4.0 License.

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Association for Computing Machinery

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Published: 19 July 2024

Published in TOG Volume 43, Issue 4

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Cited By

Sung NMa JHor KKim TVa HChoi YHong M(2025)Real-Time Physics Simulation Method for XR ApplicationComputers10.3390/computers1401001714:1(17)Online publication date: 6-Jan-2025
https://doi.org/10.3390/computers14010017
Ruan LWang BLiu TChen B(2024)MiNNIE: a Mixed Multigrid Method for Real-time Simulation of Nonlinear Near-Incompressible ElasticsACM Transactions on Graphics10.1145/368775843:6(1-15)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687758

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