research-article

Medial Meshes – A Compact and Accurate Representation of Medial Axis Transform

Authors:

Wenping WangAuthors Info & Claims

IEEE Transactions on Visualization and Computer Graphics, Volume 22, Issue 3

Pages 1278 - 1290

https://doi.org/10.1109/TVCG.2015.2448080

Published: 01 March 2016 Publication History

Abstract

The medial axis transform has long been known as an intrinsic shape representation supporting a variety of shape analysis and synthesis tasks. However, for a given shape, it is hard to obtain its faithful, concise and stable medial axis, which hinders the application of the medial axis. In this paper, we introduce the <italic>medial mesh</italic>, a new discrete representation of the medial axis. A medial mesh is a 2D simplicial complex coupled with a radius function that provides a piecewise linear approximation to the medial axis. We further present an effective algorithm for computing a concise and stable medial mesh for a given shape. Our algorithm is quantitatively driven by a shape approximation error metric, and progressively simplifies an initial medial mesh by iteratively contracting edges until the approximation error reaches a predefined threshold. We further demonstrate the superior efficiency and accuracy of our method over existing methods for medial axis simplification.

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Cited By

Gao TYuanzhou ZJi BXie Z(2024)Vision‐based fatigue crack automatic perception and geometric updating of finite element model for welded joint in steel structuresComputer-Aided Civil and Infrastructure Engineering10.1111/mice.1316639:11(1659-1675)Online publication date: 21-May-2024
https://dl.acm.org/doi/10.1111/mice.13166
Chu YWang WLi L(2023)Robustly Extracting Concise 3D Curve Skeletons by Enhancing the Capture of Prominent FeaturesIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2022.316196229:8(3472-3488)Online publication date: 1-Aug-2023
https://dl.acm.org/doi/10.1109/TVCG.2022.3161962
Liu JJiang ZCao TChen ZZhang CGui W(2023)Generated Pseudo-Labels Guided by Background Skeletons for Overcoming Under-Segmentation in Overlapping Particle ObjectsIEEE Transactions on Circuits and Systems for Video Technology10.1109/TCSVT.2022.323045133:6(2906-2919)Online publication date: 1-Jun-2023
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Index Terms

Medial Meshes – A Compact and Accurate Representation of Medial Axis Transform
1. Computing methodologies
  1. Artificial intelligence
    1. Computer vision
  2. Computer graphics
    1. Shape modeling
2. Theory of computation
  1. Randomness, geometry and discrete structures
    1. Computational geometry

Index terms have been assigned to the content through auto-classification.

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cover image IEEE Transactions on Visualization and Computer Graphics

IEEE Transactions on Visualization and Computer Graphics Volume 22, Issue 3

March 2016

147 pages

ISSN:1077-2626

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Copyright © 2015.

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IEEE Educational Activities Department

United States

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Published: 01 March 2016

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Cited By

Gao TYuanzhou ZJi BXie Z(2024)Vision‐based fatigue crack automatic perception and geometric updating of finite element model for welded joint in steel structuresComputer-Aided Civil and Infrastructure Engineering10.1111/mice.1316639:11(1659-1675)Online publication date: 21-May-2024
https://dl.acm.org/doi/10.1111/mice.13166
Chu YWang WLi L(2023)Robustly Extracting Concise 3D Curve Skeletons by Enhancing the Capture of Prominent FeaturesIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2022.316196229:8(3472-3488)Online publication date: 1-Aug-2023
https://dl.acm.org/doi/10.1109/TVCG.2022.3161962
Liu JJiang ZCao TChen ZZhang CGui W(2023)Generated Pseudo-Labels Guided by Background Skeletons for Overcoming Under-Segmentation in Overlapping Particle ObjectsIEEE Transactions on Circuits and Systems for Video Technology10.1109/TCSVT.2022.323045133:6(2906-2919)Online publication date: 1-Jun-2023
https://dl.acm.org/doi/10.1109/TCSVT.2022.3230451
Lan LYang YKaufman DYao JLi MJiang C(2021)Medial IPCACM Transactions on Graphics10.1145/3450626.345975340:4(1-16)Online publication date: 19-Jul-2021
https://dl.acm.org/doi/10.1145/3450626.3459753
Zrour RAndres ESidibe SLenain RLargeteau-Skapin G(2021)A 2D and 3D discrete bisector function based on annulusPattern Analysis & Applications10.1007/s10044-021-00973-124:3(1135-1148)Online publication date: 1-Aug-2021
https://dl.acm.org/doi/10.1007/s10044-021-00973-1
Lan LLuo RFratarcangeli MXu WWang HGuo XYao JYang Y(2020)Medial ElasticsACM Transactions on Graphics10.1145/338451539:3(1-17)Online publication date: 21-Apr-2020
https://dl.acm.org/doi/10.1145/3384515
Zhu HLiu YWang HZhao J(2018)Efficient construction of the medial axis for a CAD model using parallel computingEngineering with Computers10.1007/s00366-017-0549-334:3(413-429)Online publication date: 1-Jul-2018
https://dl.acm.org/doi/10.1007/s00366-017-0549-3

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