research-article

Guaranteed globally injective 3D deformation processing

Authors:

Chenfanfu Jiang,

Danny M. KaufmanAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 40, Issue 4

Article No.: 75, Pages 1 - 13

https://doi.org/10.1145/3450626.3459757

Published: 19 July 2021 Publication History

Abstract

We extend recent advances in the numerical time-integration of contacting elastodynamics [Li et al. 2020] to build a new framework, called Injective Deformation Processing (IDP), for the robust solution of a wide range of mesh deformation problems requiring injectivity. IDP solves challenging 3D (and 2D) geometry processing and animation tasks on meshes, via artificial time integration, with guarantees of both non-inversion and non-overlap. To our knowledge IDP is the first framework for 3D deformation processing that can efficiently guarantee globally injective deformation without geometric locking. We demonstrate its application on a diverse set of problems and show its significant improvement over state-of-the-art for globally injective 3D deformation.

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Sassen JSchumacher HRumpf MCrane K(2024)Repulsive ShellsACM Transactions on Graphics10.1145/365817443:4(1-22)Online publication date: 19-Jul-2024
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Index Terms

Guaranteed globally injective 3D deformation processing
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
2. Mathematics of computing
  1. Mathematical analysis
    1. Mathematical optimization
      1. Continuous optimization

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cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 40, Issue 4

August 2021

2170 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3450626

Editor:
Sylvain Paris
Adobe Inc.

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Publication History

Published: 19 July 2021

Published in TOG Volume 40, Issue 4

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Sassen JSchumacher HRumpf MCrane K(2024)Repulsive ShellsACM Transactions on Graphics10.1145/365817443:4(1-22)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658174
Huang KChitalu FLin HKomura T(2024)GIPC: Fast and Stable Gauss-Newton Optimization of IPC Barrier EnergyACM Transactions on Graphics10.1145/364302843:2(1-18)Online publication date: 23-Mar-2024
https://dl.acm.org/doi/10.1145/3643028
Minarčík JEstep SNi WCrane K(2024)Minkowski Penalties: Robust Differentiable Constraint Enforcement for Vector GraphicsACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657495(1-12)Online publication date: 13-Jul-2024
https://dl.acm.org/doi/10.1145/3641519.3657495
Shen XCai RBi MLv T(2024)Preconditioned Nonlinear Conjugate Gradient Method for Real-time Interior-point HyperelasticityACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657490(1-11)Online publication date: 13-Jul-2024
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Cao YChai MLi MJiang CKrause ABrunskill ECho KEngelhardt BSabato SScarlett J(2023)Efficient learning of mesh-based physical simulation with bi-stride multi-scale graph neural networkProceedings of the 40th International Conference on Machine Learning10.5555/3618408.3618553(3541-3558)Online publication date: 23-Jul-2023
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