research-article

Restricted Delaunay Triangulation for Explicit Surface Reconstruction

Authors:

Changhe TuAuthors Info & Claims

ACM Transactions on Graphics, Volume 41, Issue 5

Article No.: 180, Pages 1 - 20

https://doi.org/10.1145/3533768

Published: 29 October 2022 Publication History

Abstract

The task of explicit surface reconstruction is to generate a surface mesh by interpolating a given point cloud. Explicit surface reconstruction is necessary when the point cloud is required to appear exactly on the surface. However, for a non-perfect input, such as lack of normals, low density, irregular distribution, thin and tiny parts, and high genus, a robust explicit reconstruction method that can generate a high-quality manifold triangulation is missing.

We propose a robust explicit surface reconstruction method that starts from an initial simple surface mesh, alternately performs a Filmsticking step and a Sculpting step of the initial mesh, and converges when the surface mesh interpolates all input points (except outliers) and remains stable. The Filmsticking is to minimize the geometric distance between the surface mesh and the point cloud through iteratively performing a restricted Voronoi diagram technique on the surface mesh, whereas the Sculpting is to bootstrap the Filmsticking iteration from local minima by applying appropriate geometric and topological changes of the surface mesh.

Our algorithm is fully automatic and produces high-quality surface meshes for non-perfect inputs that are typically considered to be challenging for prior state of the art. We conducted extensive experiments on simulated scans and real scans to validate the effectiveness of our approach.

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Index Terms

Restricted Delaunay Triangulation for Explicit Surface Reconstruction
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
      1. Mesh models

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cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 41, Issue 5

October 2022

227 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3535463

Editor:
Carol O'Sullivan
Trinity College Dublin, Ireland

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Publication History

Published: 29 October 2022

Online AM: 02 May 2022

Accepted: 26 April 2022

Revised: 07 April 2022

Received: 29 September 2021

Published in TOG Volume 41, Issue 5

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