research-article

Computing geometry-aware handle and tunnel loops in 3D models

Authors:

David Cohen-SteinerAuthors Info & Claims

SIGGRAPH '08: ACM SIGGRAPH 2008 papers

Article No.: 45, Pages 1 - 9

https://doi.org/10.1145/1399504.1360644

Published: 01 August 2008 Publication History

Abstract

Many applications such as topology repair, model editing, surface parameterization, and feature recognition benefit from computing loops on surfaces that wrap around their 'handles' and 'tunnels'. Computing such loops while optimizing their geometric lengths is difficult. On the other hand, computing such loops without considering geometry is easy but may not be very useful. In this paper we strike a balance by computing topologically correct loops that are also geometrically relevant. Our algorithm is a novel application of the concepts from topological persistence introduced recently in computational topology. The usability of the computed loops is demonstrated with some examples in feature identification and topology simplification.

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Cited By

Yuan NWang PMeng WChen SXu JXin SHe YWang W(2023)A Variational Framework for Curve Shortening in Various Geometric DomainsIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2021.313502129:4(1951-1963)Online publication date: 1-Apr-2023
https://doi.org/10.1109/TVCG.2021.3135021
Rehal ASen D(2023)Generation of Homotopy Classes for Unconstrained 3D Wire Routing from Characteristic LoopsComputer-Aided Design10.1016/j.cad.2023.103607164(103607)Online publication date: Nov-2023
https://doi.org/10.1016/j.cad.2023.103607
Huo WLiu CDu ZJiang XLiu ZGuo X(2022)Topology Optimization on Complex Surfaces Based on the Moving Morphable Component Method and Computational Conformal MappingJournal of Applied Mechanics10.1115/1.405372789:5Online publication date: 4-Mar-2022
https://doi.org/10.1115/1.4053727
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Index Terms

Computing geometry-aware handle and tunnel loops in 3D models
1. Computing methodologies
  1. Computer graphics
    1. Graphics systems and interfaces
    2. Shape modeling
      1. Parametric curve and surface models
      2. Volumetric models

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cover image ACM Conferences

SIGGRAPH '08: ACM SIGGRAPH 2008 papers

August 2008

887 pages

ISBN:9781450301121

DOI:10.1145/1399504

Copyright © 2008 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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Published: 01 August 2008

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SIGGRAPH '08: Special Interest Group on Computer Graphics and Interactive Techniques Conference

August 11 - 15, 2008

California, Los Angeles

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SIGGRAPH '08 Paper Acceptance Rate 90 of 518 submissions, 17%;

Overall Acceptance Rate 1,822 of 8,601 submissions, 21%

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Cited By

Yuan NWang PMeng WChen SXu JXin SHe YWang W(2023)A Variational Framework for Curve Shortening in Various Geometric DomainsIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2021.313502129:4(1951-1963)Online publication date: 1-Apr-2023
https://doi.org/10.1109/TVCG.2021.3135021
Rehal ASen D(2023)Generation of Homotopy Classes for Unconstrained 3D Wire Routing from Characteristic LoopsComputer-Aided Design10.1016/j.cad.2023.103607164(103607)Online publication date: Nov-2023
https://doi.org/10.1016/j.cad.2023.103607
Huo WLiu CDu ZJiang XLiu ZGuo X(2022)Topology Optimization on Complex Surfaces Based on the Moving Morphable Component Method and Computational Conformal MappingJournal of Applied Mechanics10.1115/1.405372789:5Online publication date: 4-Mar-2022
https://doi.org/10.1115/1.4053727
Wang FDeng CYuan BChen C(2019)Hardware Acceleration of Persistent Homology ComputationLarge-Scale Annotation of Biomedical Data and Expert Label Synthesis and Hardware Aware Learning for Medical Imaging and Computer Assisted Intervention10.1007/978-3-030-33642-4_9(81-88)Online publication date: 24-Oct-2019
https://doi.org/10.1007/978-3-030-33642-4_9
Roy LKumar PGolbabaei SZhang YZhang E(2018)Interactive Design and Visualization of Branched Covering SpacesIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2017.274403824:1(843-852)Online publication date: Jan-2018
https://doi.org/10.1109/TVCG.2017.2744038
Dey TFan FWang Y(2013)An efficient computation of handle and tunnel loops via Reeb graphsACM Transactions on Graphics10.1145/2461912.246201732:4(1-10)Online publication date: 21-Jul-2013
https://dl.acm.org/doi/10.1145/2461912.2462017
Jin MDing NYang Y(2013)Computing shortest homotopic cycles on polyhedral surfaces with hyperbolic uniformization metricComputer-Aided Design10.1016/j.cad.2012.07.01545:2(113-123)Online publication date: 1-Feb-2013
https://dl.acm.org/doi/10.1016/j.cad.2012.07.015
Favreau JBarra V(2010)Tiling Surfaces with Cylinders Using n-loopsProceedings of the 2010 Shape Modeling International Conference10.1109/SMI.2010.24(266-270)Online publication date: 21-Jun-2010
https://dl.acm.org/doi/10.1109/SMI.2010.24
Miao Jin Wei Zeng Ning Ding Xianfeng Gu (2009)Computing Fenchel-Nielsen coordinates in Teichmuller shape Space2009 IEEE International Conference on Shape Modeling and Applications10.1109/SMI.2009.5170148(193-200)Online publication date: Jun-2009
https://doi.org/10.1109/SMI.2009.5170148
Wei Zeng Miao Jin Feng Luo Gu X(2009)Canonical homotopy class representative using hyperbolic structure2009 IEEE International Conference on Shape Modeling and Applications10.1109/SMI.2009.5170145(171-178)Online publication date: Jun-2009
https://doi.org/10.1109/SMI.2009.5170145
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