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Fast Complementary Dynamics via Skinning Eigenmodes

Published: 26 July 2023 Publication History

Abstract

We propose a reduced-space elastodynamic solver that is well suited for augmenting rigged character animations with secondary motion. At the core of our method is a novel deformation subspace based on Linear Blend Skinning that overcomes many of the shortcomings prior subspace methods face. Our skinning subspace is parameterized entirely by a set of scalar weights, which we can obtain through a small, material-aware and rig-sensitive generalized eigenvalue problem. The resulting subspace can easily capture rotational motion and guarantees that the resulting simulation is rotation equivariant. We further propose a simple local-global solver for linear co-rotational elasticity and propose a clustering method to aggregate per-tetrahedra nonlinear energetic quantities. The result is a compact simulation that is fully decoupled from the complexity of the mesh.

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  • (2024)Accelerate Neural Subspace-Based Reduced-Order Solver of Deformable Simulation by Lipschitz OptimizationACM Transactions on Graphics10.1145/368796143:6(1-10)Online publication date: 19-Dec-2024
  • (2024)Trading Spaces: Adaptive Subspace Time Integration for Contacting ElastodynamicsACM Transactions on Graphics10.1145/368794643:6(1-16)Online publication date: 19-Dec-2024
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    cover image ACM Transactions on Graphics
    ACM Transactions on Graphics  Volume 42, Issue 4
    August 2023
    1912 pages
    ISSN:0730-0301
    EISSN:1557-7368
    DOI:10.1145/3609020
    Issue’s Table of Contents
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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    Publication History

    Published: 26 July 2023
    Published in TOG Volume 42, Issue 4

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    Author Tags

    1. linear blend skinning
    2. secondary motion
    3. complementary dynamics

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    • NFRFE

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    Cited By

    View all
    • (2024)Accelerate Neural Subspace-Based Reduced-Order Solver of Deformable Simulation by Lipschitz OptimizationACM Transactions on Graphics10.1145/368796143:6(1-10)Online publication date: 19-Dec-2024
    • (2024)Trading Spaces: Adaptive Subspace Time Integration for Contacting ElastodynamicsACM Transactions on Graphics10.1145/368794643:6(1-16)Online publication date: 19-Dec-2024
    • (2024)SMEAR: Stylized Motion Exaggeration with ARt-directionACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657457(1-11)Online publication date: 13-Jul-2024
    • (2024)Homotopy Based Skinning of SpheresComputer-Aided Design10.1016/j.cad.2024.103686170:COnline publication date: 2-Jul-2024
    • (2024)Temporal Residual Jacobians for Rig-Free Motion TransferComputer Vision – ECCV 202410.1007/978-3-031-73636-0_6(93-109)Online publication date: 5-Nov-2024
    • (2024)Multi‐scale edge aggregation mesh‐graph‐network for character secondary motionComputer Animation and Virtual Worlds10.1002/cav.224135:3Online publication date: 17-May-2024
    • (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
    • (2023)LiCROM: Linear-Subspace Continuous Reduced Order Modeling with Neural FieldsSIGGRAPH Asia 2023 Conference Papers10.1145/3610548.3618158(1-12)Online publication date: 10-Dec-2023

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