Surface reconstruction by computing restricted Voronoi cells in parallel

We present a method for reconstructing a 3D surface triangulation from an input point set. The main component of the method is an algorithm that computes the restricted Voronoi diagram. In our specific case, it corresponds to the intersection between the 3D Voronoi diagram of the input points and a...

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Published inComputer aided design Vol. 90; pp. 123 - 134
Main Authors Boltcheva, Dobrina, Lévy, Bruno
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Ltd 01.09.2017
Elsevier BV
Elsevier
Subjects
Online AccessGet full text
ISSN0010-4485
1879-2685
DOI10.1016/j.cad.2017.05.011

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Abstract We present a method for reconstructing a 3D surface triangulation from an input point set. The main component of the method is an algorithm that computes the restricted Voronoi diagram. In our specific case, it corresponds to the intersection between the 3D Voronoi diagram of the input points and a set of disks centered at the points and orthogonal to the estimated normal directions. The method does not require coherent normal orientations (just directions). Our algorithm is based on a property of the restricted Voronoi cells that leads to an embarrassingly parallel implementation. We experimented our algorithm with scanned point sets with up to 100 million vertices that were processed within few minutes on a standard computer. The complete implementation is provided. •Simple and scalable surface reconstruction algorithm from 3D point sets.•The algorithm requires only estimated normal directions (no need of consistent normal orientation).•It processes 100 million points within few minutes on a standard computer.•The complete implementation is provided. [Display omitted]
AbstractList We present a method for reconstructing a 3D surface triangulation from an input point set. The main component of the method is an algorithm that computes the restricted Voronoi diagram. In our specific case, it corresponds to the intersection between the 3D Voronoi diagram of the input points and a set of disks centered at the points and orthogonal to the estimated normal directions. The method does not require coherent normal orientations (just directions). Our algorithm is based on a property of the restricted Voronoi cells that leads to an embarrassingly parallel implementation. We experimented our algorithm with scanned point sets with up to 100 million vertices that were processed within few minutes on a standard computer. The complete implementation is provided.
We present a method for reconstructing a 3D surface triangulation from an input point set. The main component of the method is an algorithm that computes the restricted Voronoi diagram. In our specific case, it corresponds to the intersection between the 3D Voronoi diagram of the input points and a set of disks centered at the points and orthogonal to the estimated normal directions. The method does not require coherent normal orientations (just directions). Our algorithm is based on a property of the restricted Voronoi cells that leads to an embarrassingly parallel implementation. We experimented our algorithm with scanned point sets with up to 100 million vertices that were processed within few minutes on a standard computer. The complete implementation is provided. •Simple and scalable surface reconstruction algorithm from 3D point sets.•The algorithm requires only estimated normal directions (no need of consistent normal orientation).•It processes 100 million points within few minutes on a standard computer.•The complete implementation is provided. [Display omitted]
Author Boltcheva, Dobrina
Lévy, Bruno
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  surname: Lévy
  fullname: Lévy, Bruno
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Keywords Surface reconstruction
Point cloud
Restricted Voronoi diagram
Language English
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Snippet We present a method for reconstructing a 3D surface triangulation from an input point set. The main component of the method is an algorithm that computes the...
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SubjectTerms 3-D printers
Algorithms
CAD
Computational Geometry
Computer aided design
Computer Science
Disks
Point cloud
Restricted Voronoi diagram
Surface reconstruction
Triangulation
Voronoi graphs
Title Surface reconstruction by computing restricted Voronoi cells in parallel
URI https://dx.doi.org/10.1016/j.cad.2017.05.011
https://www.proquest.com/docview/1941701033
https://inria.hal.science/hal-01596553
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