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A Curvature-Adaptive Implicit Surface Reconstruction for Irregularly Spaced Points

Authors:

Lyubomir G. Zagorchev,

Arthur Ardeshir GoshtasbyAuthors Info & Claims

IEEE Transactions on Visualization and Computer Graphics, Volume 18, Issue 9

Pages 1460 - 1473

https://doi.org/10.1109/TVCG.2011.276

Published: 01 September 2012 Publication History

Abstract

A curvature-adaptive implicit surface reconstruction for noisy and irregularly spaced points in 3D is introduced. The reconstructed surface traces the zero crossings of a signed field obtained from the sum of first-derivative anisotropic Gaussians centered at the points. The standard deviations of the anisotropic Gaussians are adapted to surface curvatures estimated from local data. A key characteristic of the formulation is its ability to smooth more along edges than across them, thereby preserving shape details while smoothing noise. The behavior of the proposed method under various density and organization of points is investigated and surface reconstruction results are compared with those obtained by well-known methods in the literature.

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Barill GDickson NSchmidt RLevin DJacobson A(2018)Fast winding numbers for soups and cloudsACM Transactions on Graphics10.1145/3197517.320133737:4(1-12)Online publication date: 30-Jul-2018
https://dl.acm.org/doi/10.1145/3197517.3201337
Hu MZhou YLi X(2017)Robust and accurate computation of geometric distance for Lipschitz continuous implicit curvesThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-017-1370-033:6-8(937-947)Online publication date: 1-Jun-2017
https://dl.acm.org/doi/10.1007/s00371-017-1370-0
Lu GRen LKolagunda AWang XTurkbey IChoyke PKambhamettu C(2016)Representing 3D shapes based on implicit surface functions learned from RBF neural networksJournal of Visual Communication and Image Representation10.1016/j.jvcir.2016.08.01440:PB(852-860)Online publication date: 1-Oct-2016
https://dl.acm.org/doi/10.1016/j.jvcir.2016.08.014
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A Curvature-Adaptive Implicit Surface Reconstruction for Irregularly Spaced Points
1. Computing methodologies
  1. Artificial intelligence
    1. Computer vision
      1. Computer vision problems
2. Networks
  1. Network protocols

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cover image IEEE Transactions on Visualization and Computer Graphics

IEEE Transactions on Visualization and Computer Graphics Volume 18, Issue 9

September 2012

207 pages

ISSN:1077-2626

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IEEE Educational Activities Department

United States

Publication History

Published: 01 September 2012

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Barill GDickson NSchmidt RLevin DJacobson A(2018)Fast winding numbers for soups and cloudsACM Transactions on Graphics10.1145/3197517.320133737:4(1-12)Online publication date: 30-Jul-2018
https://dl.acm.org/doi/10.1145/3197517.3201337
Hu MZhou YLi X(2017)Robust and accurate computation of geometric distance for Lipschitz continuous implicit curvesThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-017-1370-033:6-8(937-947)Online publication date: 1-Jun-2017
https://dl.acm.org/doi/10.1007/s00371-017-1370-0
Lu GRen LKolagunda AWang XTurkbey IChoyke PKambhamettu C(2016)Representing 3D shapes based on implicit surface functions learned from RBF neural networksJournal of Visual Communication and Image Representation10.1016/j.jvcir.2016.08.01440:PB(852-860)Online publication date: 1-Oct-2016
https://dl.acm.org/doi/10.1016/j.jvcir.2016.08.014
Jolfaei AXin-Wen Wu Muthukkumarasamy V(2015)A 3D Object Encryption Scheme Which Maintains Dimensional and Spatial StabilityIEEE Transactions on Information Forensics and Security10.1109/TIFS.2014.237814610:2(409-422)Online publication date: 1-Feb-2015
https://dl.acm.org/doi/10.1109/TIFS.2014.2378146

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Tomographic surface reconstruction from point cloud

Lines of curvature and umbilical points for implicit surfaces

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