Article

Interpolating and approximating implicit surfaces from polygon soup

Authors:

James F. O'Brien,

Jonathan R. ShewchukAuthors Info & Claims

SIGGRAPH '04: ACM SIGGRAPH 2004 Papers

Pages 896 - 904

https://doi.org/10.1145/1186562.1015816

Published: 01 August 2004 Publication History

Abstract

This paper describes a method for building interpolating or approximating implicit surfaces from polygonal data. The user can choose to generate a surface that exactly interpolates the polygons, or a surface that approximates the input by smoothing away features smaller than some user-specified size. The implicit functions are represented using a moving least-squares formulation with constraints integrated over the polygons. The paper also presents an improved method for enforcing normal constraints and an iterative procedure for ensuring that the implicit surface tightly encloses the input vertices.

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References

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Cited By

Nagai YTanaya H(2024)Leaf Reconstruction Based on Gaussian Mixture Model from Point Clouds of Leaf Boundaries and VeinsInternational Journal of Automation Technology10.20965/ijat.2024.p028718:2(287-294)Online publication date: 5-Mar-2024
https://doi.org/10.20965/ijat.2024.p0287
Du YLi YCoros SThomaszewski BKry PCani MSkouras MWang H(2024)Robust and Artefact-Free Deformable Contact with Smooth Surface RepresentationsProceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation10.1111/cgf.15187(1-13)Online publication date: 21-Aug-2024
https://dl.acm.org/doi/10.1111/cgf.15187
Zhu RKang DHui KQian YQiu SDong ZBao LHeng PFu C(2024)SSP: Semi-signed prioritized neural fitting for surface reconstruction from unoriented point clouds2024 IEEE/CVF Winter Conference on Applications of Computer Vision (WACV)10.1109/WACV57701.2024.00373(3757-3766)Online publication date: 3-Jan-2024
https://doi.org/10.1109/WACV57701.2024.00373
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Index Terms

Interpolating and approximating implicit surfaces from polygon soup
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
      1. Parametric curve and surface models
      2. Volumetric models
2. Mathematics of computing
  1. Discrete mathematics
    1. Graph theory
      1. Approximation algorithms

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cover image ACM Conferences

SIGGRAPH '04: ACM SIGGRAPH 2004 Papers

August 2004

684 pages

ISBN:9781450378239

DOI:10.1145/1186562

Editor:
Joe Marks
Mitsubishi Electric Research Laboratories (MERL)

Copyright © 2004 ACM.

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 ACM 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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Published: 01 August 2004

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SIGGRAPH04: Special Interest Group on Computer Graphics and Interactive Techniques

August 8 - 12, 2004

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SIGGRAPH '04 Paper Acceptance Rate 83 of 478 submissions, 17%;

Overall Acceptance Rate 1,822 of 8,601 submissions, 21%

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Cited By

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https://doi.org/10.20965/ijat.2024.p0287
Du YLi YCoros SThomaszewski BKry PCani MSkouras MWang H(2024)Robust and Artefact-Free Deformable Contact with Smooth Surface RepresentationsProceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation10.1111/cgf.15187(1-13)Online publication date: 21-Aug-2024
https://dl.acm.org/doi/10.1111/cgf.15187
Zhu RKang DHui KQian YQiu SDong ZBao LHeng PFu C(2024)SSP: Semi-signed prioritized neural fitting for surface reconstruction from unoriented point clouds2024 IEEE/CVF Winter Conference on Applications of Computer Vision (WACV)10.1109/WACV57701.2024.00373(3757-3766)Online publication date: 3-Jan-2024
https://doi.org/10.1109/WACV57701.2024.00373
Wang ZWang PWang PDong QGao JChen SXin STu CWang W(2024)Neural-IMLS: Self-Supervised Implicit Moving Least-Squares Network for Surface ReconstructionIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2023.328423330:8(5018-5033)Online publication date: Aug-2024
https://doi.org/10.1109/TVCG.2023.3284233
Fischer TPorzi LBulò SPollefeys MKontschieder P(2024)Multi-Level Neural Scene Graphs for Dynamic Urban Environments2024 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)10.1109/CVPR52733.2024.01996(21125-21135)Online publication date: 16-Jun-2024
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Ma YMeng YXiao DShi ZWang B(2024)Flipping-based Iterative Surface Reconstruction for Unoriented PointsComputer Aided Geometric Design10.1016/j.cagd.2024.102315(102315)Online publication date: Apr-2024
https://doi.org/10.1016/j.cagd.2024.102315
Lydia DZhengfeng YChao PYaochen XZhenbing Z(2023)Algebraic curve interpolation for intervals via symbolic-numeric computationSCIENTIA SINICA Mathematica10.1360/SCM-2023-0092Online publication date: 26-Dec-2023
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Gagniere SHan YChen YHyde DMarquez‐Razon ATeran JFedkiw R(2023)A Robust Grid‐Based Meshing Algorithm for Embedding Self‐Intersecting SurfacesComputer Graphics Forum10.1111/cgf.1498643:1Online publication date: 28-Sep-2023
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Zint DMaruani NRouxel‐Labb MAlliez P(2023)Feature‐Preserving Offset Mesh Generation from Topology‐Adapted OctreesComputer Graphics Forum10.1111/cgf.1490642:5Online publication date: 10-Aug-2023
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