research-article

Hyper-reduced projective dynamics

Authors:

Christopher Brandt,

Elmar Eisemann,

Klaus HildebrandtAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 37, Issue 4

Article No.: 80, Pages 1 - 13

https://doi.org/10.1145/3197517.3201387

Published: 30 July 2018 Publication History

Abstract

We present a method for the real-time simulation of deformable objects that combines the robustness, generality, and high performance of Projective Dynamics with the efficiency and scalability offered by model reduction techniques. The method decouples the cost for time integration from the mesh resolution and can simulate large meshes in real-time. The proposed hyper-reduction of Projective Dynamics combines a novel fast approximation method for constraint projections and a scalable construction of sparse subspace bases. The resulting system achieves real-time rates for large sub-spaces enabling rich dynamics and can resolve general user interactions, collision constraints, external forces and changes to the materials. The construction of the hyper-reduced system does not require user-interaction and refrains from using training data or modal analysis, which results in a fast preprocessing stage.

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Cited By

Thiery JMichel ÉChen J(2024)Biharmonic Coordinates and their Derivatives for Triangular 3D CagesACM Transactions on Graphics10.1145/365820843:4(1-17)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658208
Nguyen-Le DBallit ADao T(2024)A novel deep learning-driven approach for predicting the pelvis soft-tissue deformations toward a real-time interactive childbirth simulationEngineering Applications of Artificial Intelligence10.1016/j.engappai.2023.107150126:PDOnline publication date: 27-Feb-2024
https://dl.acm.org/doi/10.1016/j.engappai.2023.107150
Nicolas WUlrich SMario B(2024)SparseSoftDECA — Efficient high-resolution physics-based facial animation from sparse landmarksComputers & Graphics10.1016/j.cag.2024.103903119(103903)Online publication date: Apr-2024
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Index Terms

Hyper-reduced projective dynamics
1. Computing methodologies
  1. Computer graphics
    1. Animation
      1. Physical simulation
  2. Modeling and simulation
    1. Simulation types and techniques
      1. Real-time simulation

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cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 37, Issue 4

August 2018

1670 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3197517

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Copyright © 2018 ACM.

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Publication History

Published: 30 July 2018

Published in TOG Volume 37, Issue 4

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Cited By

Thiery JMichel ÉChen J(2024)Biharmonic Coordinates and their Derivatives for Triangular 3D CagesACM Transactions on Graphics10.1145/365820843:4(1-17)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658208
Nguyen-Le DBallit ADao T(2024)A novel deep learning-driven approach for predicting the pelvis soft-tissue deformations toward a real-time interactive childbirth simulationEngineering Applications of Artificial Intelligence10.1016/j.engappai.2023.107150126:PDOnline publication date: 27-Feb-2024
https://dl.acm.org/doi/10.1016/j.engappai.2023.107150
Nicolas WUlrich SMario B(2024)SparseSoftDECA — Efficient high-resolution physics-based facial animation from sparse landmarksComputers & Graphics10.1016/j.cag.2024.103903119(103903)Online publication date: Apr-2024
https://doi.org/10.1016/j.cag.2024.103903
Wagner NBotsch MSchwanecke U(2023)SoftDECA: Computationally Efficient Physics-Based Facial AnimationsProceedings of the 16th ACM SIGGRAPH Conference on Motion, Interaction and Games10.1145/3623264.3624439(1-11)Online publication date: 15-Nov-2023
https://dl.acm.org/doi/10.1145/3623264.3624439
Romero CCasas DChiaramonte MOtaduy M(2023)Learning Contact Deformations with General Collider DescriptorsSIGGRAPH Asia 2023 Conference Papers10.1145/3610548.3618229(1-10)Online publication date: 10-Dec-2023
https://dl.acm.org/doi/10.1145/3610548.3618229
Trusty TBenchekroun OGrinspun EKaufman DLevin D(2023)Subspace Mixed Finite Elements for Real-Time Heterogeneous ElastodynamicsSIGGRAPH Asia 2023 Conference Papers10.1145/3610548.3618220(1-10)Online publication date: 10-Dec-2023
https://dl.acm.org/doi/10.1145/3610548.3618220
Li XFang YLan LWang HYang YLi MJiang C(2023)Subspace-Preconditioned GPU Projective Dynamics with Contact for Cloth SimulationSIGGRAPH Asia 2023 Conference Papers10.1145/3610548.3618157(1-12)Online publication date: 10-Dec-2023
https://dl.acm.org/doi/10.1145/3610548.3618157
Wu YUmetani N(2023)Two-Way Coupling of Skinning Transformations and Position Based DynamicsProceedings of the ACM on Computer Graphics and Interactive Techniques10.1145/36069306:3(1-18)Online publication date: 24-Aug-2023
https://dl.acm.org/doi/10.1145/3606930
Benchekroun OZhang JChaudhuri SGrinspun EZhou YJacobson A(2023)Fast Complementary Dynamics via Skinning EigenmodesACM Transactions on Graphics10.1145/359240442:4(1-21)Online publication date: 26-Jul-2023
https://dl.acm.org/doi/10.1145/3592404
Sharp NRomero CJacobson AVouga EKry PLevin DSolomon J(2023)Data-Free Learning of Reduced-Order KinematicsACM SIGGRAPH 2023 Conference Proceedings10.1145/3588432.3591521(1-9)Online publication date: 23-Jul-2023
https://dl.acm.org/doi/10.1145/3588432.3591521
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