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Topology-aware hexahedral mesh generation based on singularities of3D tensor fields

Research Project

Project/Area Number 23650042
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Media informatics/Database
Research InstitutionThe University of Tokyo

Principal Investigator

TAKAHASHI Shigeo  東京大学, 大学院新領域創成科学研究科, 准教授 (40292619)

Project Period (FY) 2011 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords四辺形メッシュ / 六面体メッシュ / テンソル場 / 特異点 / 双対 / 有限要素法 / 画 / メッシュ / 画像抽象化 / 四辺形メッシュ生成 / テンソル場補間 / 特異点特徴 / 3次元メッシュ
Research Abstract

This research project aims at composing an algorithm fordecomposing the input 2D and 3D objects quadrilateral and hexahedral meshes, which aresets of quadrilaterals and hexahedra. This is an important process for transforming inputobjects into their discrete representations especially for finite element method analysis.Our idea is to synthesize an appropriate tensor field within the input object, and controlthe overall mesh topology by locating the degeneracy on the underlying tensor field. Thissuccessfully leads us to the generation of high-quality quadrilateral and hexahedralmeshes.

Report

(3 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Research-status Report
  • Research Products

    (27 results)

All 2013 2012 2011 Other

All Journal Article (12 results) (of which Peer Reviewed: 12 results) Presentation (13 results) Remarks (2 results)

  • [Journal Article] Abstracting Images into Continuous Line Artistic Styles2013

    • Author(s)
      Fernando J.Wong and Shigeo Takahashi
    • Journal Title

      The Visual Computer

      Volume: Vol. 29, No. 6-8 Pages: 729-738

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Hierarchical Design of Continuous Line Illustrations2013

    • Author(s)
      Fernando J. Wong and Shigeo Takahashi
    • Journal Title

      in Proceedings of the 8th International Conference on Computer Graphics Theory and Applications (GRAPP2013)

      Pages: 131-138

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Abstracting Images into Continuous Line Artistic Styles2013

    • Author(s)
      Fernando J. Wong and Shigeo Takahashi
    • Journal Title

      The Visual Computer

      Volume: 未定(採録決定済) Issue: 6-8 Pages: 729-738

    • DOI

      10.1007/s00371-013-0809-1

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spatially Efficient Design of Annotated Metro Maps2013

    • Author(s)
      Hsiang-Yun Wu, Shigeo Takahashi, Chun-Cheng Lin, and Hsu-Chun Yen
    • Journal Title

      Computer Graphics Forum

      Volume: Vol. 32

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Interactive Control of Mesh Topology in Quadrilateral Mesh Generation Based on 2D Tensor Fields2012

    • Author(s)
      Chongke Bi, Daisuke Sakurai, Shigeo Takahashi, and Kenji Ono
    • Journal Title

      in Proceedings of the 8th International Symposium on Visual Computing (ISVC2012)

      Pages: 726-735

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Degeneracy-Aware Interpolation of 3D Diffusion Tensor Fields2012

    • Author(s)
      Chongke Bi, Shigeo Takahashi, and Issei Fujishiro
    • Journal Title

      in Proceedings of Visualization and Data Analysis 2012 (VDA2012), SPIE

      Volume: Vol. 8294

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Travel-Route-Centered Metro Map Layout and Annotation2012

    • Author(s)
      Hsiang-Yun Wu, Shigeo Takahashi, Chun-Cheng Lin, and Hsu-Chun Yen
    • Journal Title

      Computer Graphics Forum

      Volume: Vol. 31 Issue: 3pt1 Pages: 925-934

    • DOI

      10.1111/j.1467-8659.2012.03085.x

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Interactive Control of Mesh Topology in Quadrilateral Mesh Generation Based on 2D Tensor Fields2012

    • Author(s)
      Chongke Bi, Daisuke Sakurai, Shigeo Takahashi, and Kenji Ono
    • Journal Title

      Proceedings of the 8th International Symposium on Visual Computing (ISVC2012),

      Volume: なし Pages: 726-735

    • DOI

      10.1007/978-3-642-33191-6_72

    • ISBN
      9783642331909, 9783642331916
    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Degeneracy-aware interpolation of 3D diffusion tensor fields2012

    • Author(s)
      C.Bi, S.Takahashi, I.Fujishiro
    • Journal Title

      Proceedings of SPIE VDA 2012

      Volume: (CD-ROM/Web) Pages: 829411-829411

    • DOI

      10.1117/12.908117

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Optimized TopologicalSurgery for Unfolding 3D Meshes,2011

    • Author(s)
      Shigeo Takahashi, Hsiang-Yun Wu,Seow Hui Saw, Chun-Cheng Lin, andHsu-Chun Yen
    • Journal Title

      Computer Graphics Forum

      Volume: Vol. 30,No. 7 Pages: 2077-2086

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optimized Topological Surgery for Unfolding 3D Meshes2011

    • Author(s)
      S. Takahashi, H.-Y. Wu, S. H. Saw, C.-C. Lin, and H.-C. Yen
    • Journal Title

      Computer Graphics Forum

      Volume: 30(7) Issue: 7 Pages: 2077-2086

    • DOI

      10.1111/j.1467-8659.2011.02053.x

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Previewing Volume Decomposition Through Optimal Viewpoints2011

    • Author(s)
      S. Takahashi, I. Fujishiro, Y. Takeshima, and C. Bi
    • Journal Title

      Dagstuhl Follow-Ups Series

      Volume: Vol.2 Pages: 346-359

    • DOI

      10.4230/DFU.Vol2.SciViz.2011.346

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] Abstracting Images into Continuous Line Artistic Styles2013

    • Author(s)
      Shigeo Takahashi
    • Organizer
      Computer Graphics International 2013 (CGI2013)
    • Place of Presentation
      at Hannover,Germany.
    • Year and Date
      2013-06-13
    • Related Report
      2012 Final Research Report
  • [Presentation] Hierarchical Design of Continuous Line Illustrations2013

    • Author(s)
      Fernando J. Wong
    • Organizer
      8th International Conference on Computer Graphics Theory and Applications (GRAPP 2013)
    • Place of Presentation
      Barcelona, Spain
    • Related Report
      2012 Annual Research Report
  • [Presentation] Abstracting Images into Continuous Line Artistic Styles2013

    • Author(s)
      Shigeo Takahashi
    • Organizer
      Computer Graphics International 2013
    • Place of Presentation
      Hannover, Germany
    • Related Report
      2012 Annual Research Report
  • [Presentation] Spatially Efficient Design of Annotated Metro Maps2013

    • Author(s)
      Hsiang-Yun Wu
    • Organizer
      15th Eurographics Symposium on Visualization
    • Place of Presentation
      Leipzig, Germany
    • Related Report
      2012 Annual Research Report
  • [Presentation] Interactive Control of Mesh Topology in Quadrilateral Mesh Generation Based on 2D Tensor Fields2012

    • Author(s)
      Chongke Bi
    • Organizer
      8th International Symposium on Visual Computing (ISVC2012)
    • Place of Presentation
      at Rythmnon, Crete, Greece.
    • Year and Date
      2012-07-17
    • Related Report
      2012 Final Research Report
  • [Presentation] Hierarchical Design of Continuous Line Illustrations2012

    • Author(s)
      Fernando J. Wong
    • Organizer
      8th International Conference on Computer Graphics Theory and Applications (GRAPP2013)
    • Place of Presentation
      atBarcelona, Spain.
    • Year and Date
      2012-02-22
    • Related Report
      2012 Final Research Report
  • [Presentation] Degeneracy-Aware Interpolation of 3D Diffusion Tensor Fields2012

    • Author(s)
      Chongke Bi
    • Organizer
      SPIE Visualization and Data Analysis 2012 (VDA2012)
    • Place of Presentation
      at Burlingame, USA.
    • Year and Date
      2012-01-24
    • Related Report
      2012 Final Research Report
  • [Presentation] Travel-Route-Centered Metro Map Layout and Annotation2012

    • Author(s)
      Hsiang-Yun Wu
    • Organizer
      14th Eurographics Symposium on Visualization
    • Place of Presentation
      Vienna, Austlia
    • Related Report
      2012 Annual Research Report
  • [Presentation] Interactive Control of Mesh Topology in Quadrilateral Mesh Generation Based on 2D Tensor Fields2012

    • Author(s)
      Chongke Bi
    • Organizer
      8th International Symposium on Visual Computing
    • Place of Presentation
      Rethymnon, Crete, Greece
    • Related Report
      2012 Annual Research Report
  • [Presentation] Degeneracy-Aware Interpolation of 3D Diffusion Tensor Fields2012

    • Author(s)
      Chongke Bi
    • Organizer
      Visualization and Data Analysis 2012 (VDA2012)
    • Place of Presentation
      Burlingame, CA. USA
    • Related Report
      2011 Research-status Report
  • [Presentation] OptimizedTopological Surgery for Unfolding 3DMeshes2011

    • Author(s)
      Shigeo Takahashi
    • Organizer
      19th Pacific Conference on Computer Graphics and Applications (Pacific Graphics 2011)
    • Place of Presentation
      at Kaohsiung, Taiwan.
    • Year and Date
      2011-09-23
    • Related Report
      2012 Final Research Report
  • [Presentation] Augmenting 3D Perceptibility in Data Visualization2011

    • Author(s)
      Shigeo Takahashi
    • Organizer
      Dagstuhl Seminar on Scientific Visualization(招待講演)
    • Place of Presentation
      Dagstuhl, Germany
    • Related Report
      2011 Research-status Report
  • [Presentation] Optimized Topological Surgery for Unfolding 3D Meshes2011

    • Author(s)
      Shigeo Takahashi and Hsiang-Yun Wu
    • Organizer
      The 19th Pacific Conference on Computer Graphics and Applications (Pacific Graphics 2011)
    • Place of Presentation
      Kaohsiung, Taiwan
    • Related Report
      2011 Research-status Report
  • [Remarks] 高橋研究室ホームページ

    • URL

      http://www.visual.k.u-tokyo.ac.jp/

    • Related Report
      2012 Annual Research Report
  • [Remarks] 研究室 web page

    • URL

      http://visual.k.u-tokyo.ac.jp/

    • Related Report
      2011 Research-status Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

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