article

Anisotropic polygonal remeshing

Authors:

David Cohen-Steiner,

Olivier Devillers,

Mathieu DesbrunAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 22, Issue 3

Pages 485 - 493

https://doi.org/10.1145/882262.882296

Published: 01 July 2003 Publication History

Abstract

In this paper, we propose a novel polygonal remeshing technique that exploits a key aspect of surfaces: the intrinsic anisotropy of natural or man-made geometry. In particular, we use curvature directions to drive the remeshing process, mimicking the lines that artists themselves would use when creating 3D models from scratch. After extracting and smoothing the curvature tensor field of an input genus-0 surface patch, lines of minimum and maximum curvatures are used to determine appropriate edges for the remeshed version in anisotropic regions, while spherical regions are simply point sampled since there is no natural direction of symmetry locally. As a result our technique generates polygon meshes mainly composed of quads in anisotropic regions, and of triangles in spherical regions. Our approach provides the flexibility to produce meshes ranging from isotropic to anisotropic, from coarse to dense, and from uniform to curvature adapted.

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Lin XZhang YZhang E(2024)Asymptotic Topology of 3D Linear Symmetric Tensor Fields2024 IEEE Topological Data Analysis and Visualization (TopoInVis)10.1109/TopoInVis64104.2024.00010(55-64)Online publication date: 13-Oct-2024
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Lv CLin WZheng J(2024)Adaptively Isotropic Remeshing Based on Curvature Smoothed FieldIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2022.322797030:7(3196-3209)Online publication date: 1-Jul-2024
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Junjie GShaopeng SKangwei LJun L(2024)A Fast Quadrilateral Mesh Generation Algorithm Based on Conformal Parameterization2024 IEEE 6th Advanced Information Management, Communicates, Electronic and Automation Control Conference (IMCEC)10.1109/IMCEC59810.2024.10575157(1748-1752)Online publication date: 24-May-2024
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Index Terms

Anisotropic polygonal remeshing
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
      1. Point-based models

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Highlights
- Theoretical foundation: discrete optimal mass transportation and surface Ricci flow.

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Information

Published In

cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 22, Issue 3

July 2003

683 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/882262

Issue’s Table of Contents

Copyright © 2003 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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Publication History

Published: 01 July 2003

Published in TOG Volume 22, Issue 3

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Cited By

Lin XZhang YZhang E(2024)Asymptotic Topology of 3D Linear Symmetric Tensor Fields2024 IEEE Topological Data Analysis and Visualization (TopoInVis)10.1109/TopoInVis64104.2024.00010(55-64)Online publication date: 13-Oct-2024
https://doi.org/10.1109/TopoInVis64104.2024.00010
Lv CLin WZheng J(2024)Adaptively Isotropic Remeshing Based on Curvature Smoothed FieldIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2022.322797030:7(3196-3209)Online publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1109/TVCG.2022.3227970
Junjie GShaopeng SKangwei LJun L(2024)A Fast Quadrilateral Mesh Generation Algorithm Based on Conformal Parameterization2024 IEEE 6th Advanced Information Management, Communicates, Electronic and Automation Control Conference (IMCEC)10.1109/IMCEC59810.2024.10575157(1748-1752)Online publication date: 24-May-2024
https://doi.org/10.1109/IMCEC59810.2024.10575157
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