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Flexible Isosurface Extraction for Gradient-Based Mesh Optimization

Authors:

Tianchang Shen,

Jacob Munkberg,

Jon Hasselgren,

Nicholas Sharp,

Jun GaoAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 42, Issue 4

Article No.: 37, Pages 1 - 16

https://doi.org/10.1145/3592430

Published: 26 July 2023 Publication History

Abstract

This work considers gradient-based mesh optimization, where we iteratively optimize for a 3D surface mesh by representing it as the isosurface of a scalar field, an increasingly common paradigm in applications including photogrammetry, generative modeling, and inverse physics. Existing implementations adapt classic isosurface extraction algorithms like Marching Cubes or Dual Contouring; these techniques were designed to extract meshes from fixed, known fields, and in the optimization setting they lack the degrees of freedom to represent high-quality feature-preserving meshes, or suffer from numerical instabilities. We introduce FlexiCubes, an isosurface representation specifically designed for optimizing an unknown mesh with respect to geometric, visual, or even physical objectives. Our main insight is to introduce additional carefully-chosen parameters into the representation, which allow local flexible adjustments to the extracted mesh geometry and connectivity. These parameters are updated along with the underlying scalar field via automatic differentiation when optimizing for a downstream task. We base our extraction scheme on Dual Marching Cubes for improved topological properties, and present extensions to optionally generate tetrahedral and hierarchically-adaptive meshes. Extensive experiments validate FlexiCubes on both synthetic benchmarks and real-world applications, showing that it offers significant improvements in mesh quality and geometric fidelity.

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Cited By

He JZhang TKobayashi HKawamoto AZhou YNomura TZhu B(2024)Multi-level Partition of Unity on Differentiable Moving ParticlesACM Transactions on Graphics10.1145/368798943:6(1-21)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687989
Miller BSawhney RCrane KGkioulekas I(2024)Differential Walk on SpheresACM Transactions on Graphics10.1145/368791343:6(1-18)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687913
Lamarre MAnderson PDanvoye É(2024)A Theory of Stabilization by Skull CarvingSIGGRAPH Asia 2024 Technical Communications10.1145/3681758.3697982(1-4)Online publication date: 3-Dec-2024
https://dl.acm.org/doi/10.1145/3681758.3697982
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Index Terms

Flexible Isosurface Extraction for Gradient-Based Mesh Optimization
1. Computing methodologies
  1. Artificial intelligence
    1. Computer vision
      1. Computer vision problems
        Reconstruction
      2. Computer vision representations
        Shape representations
  2. Computer graphics
    1. Shape modeling
      1. Mesh geometry models

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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

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Published: 26 July 2023

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Cited By

He JZhang TKobayashi HKawamoto AZhou YNomura TZhu B(2024)Multi-level Partition of Unity on Differentiable Moving ParticlesACM Transactions on Graphics10.1145/368798943:6(1-21)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687989
Miller BSawhney RCrane KGkioulekas I(2024)Differential Walk on SpheresACM Transactions on Graphics10.1145/368791343:6(1-18)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687913
Lamarre MAnderson PDanvoye É(2024)A Theory of Stabilization by Skull CarvingSIGGRAPH Asia 2024 Technical Communications10.1145/3681758.3697982(1-4)Online publication date: 3-Dec-2024
https://dl.acm.org/doi/10.1145/3681758.3697982
Shen TLi ZLaw MAtzmon MFidler SLucas JGao JSharp N(2024)SpaceMesh: A Continuous Representation for Learning Manifold Surface MeshesSIGGRAPH Asia 2024 Conference Papers10.1145/3680528.3687634(1-11)Online publication date: 3-Dec-2024
https://dl.acm.org/doi/10.1145/3680528.3687634
Gillespie MYang DBotsch MCrane K(2024)Ray Tracing Harmonic FunctionsACM Transactions on Graphics10.1145/365820143:4(1-18)Online publication date: 19-Jul-2024
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Reiser CGarbin SSrinivasan PVerbin DSzeliski RMildenhall BBarron JHedman PGeiger A(2024)Binary Opacity Grids: Capturing Fine Geometric Detail for Mesh-Based View SynthesisACM Transactions on Graphics10.1145/365813043:4(1-14)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658130
Sellán SRen YBatty CStein O(2024)Reach for the Arcs: Reconstructing Surfaces from SDFs via Tangent PointsACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657419(1-12)Online publication date: 13-Jul-2024
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Zheng XPan HGuo YTong XLiu Y(2024)MVD^2: Efficient Multiview 3D Reconstruction for Multiview DiffusionACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657403(1-11)Online publication date: 13-Jul-2024
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Fu RHormann KAlliez P(2024)LFS-Aware Surface Reconstruction From Unoriented 3D Point CloudsIEEE Transactions on Multimedia10.1109/TMM.2024.345305026(11415-11427)Online publication date: 2024
https://doi.org/10.1109/TMM.2024.3453050
Choi JShah RLi QWang YSaraf AKim CHuang JManocha DAlsisan SKopf J(2024)LTM: Lightweight Textured Mesh Extraction and Refinement of Large Unbounded Scenes for Efficient Storage and Real-Time Rendering2024 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)10.1109/CVPR52733.2024.00483(5053-5063)Online publication date: 16-Jun-2024
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