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Development of fundamental technologies for next-generation CAD system using subdivision schemes

Research Project

Project/Area Number 20760101
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Design engineering/Machine functional elements/Tribology
Research InstitutionThe Institute of Physical and Chemical Research

Principal Investigator

KAWAHARADA Hiroshi  The Institute of Physical and Chemical Research, VCADモデリングチーム, 研究員 (40462676)

Project Period (FY) 2008 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywordsボリューム細分割 / 有限要素法 / 無体積セル / ボリュームメッシュの高品位化 / 細分割 / 連続性 / ボリュームメッシュ
Research Abstract

Volume subdivision which is an extension of surface subdivision scheme generates a smooth parameterization (cells) for the initial object (volume mesh). Thus, there are relatively no tiny elements in the subdivided volume mesh. This is a useful property for the FEM analysis, because a large difference of volumes between two adjacent cells causes a large error of the FEM analysis. However, previous works did not mention this usefulness, because (we guess) the subdivided volume mesh has planar cells (at the limit, there are completely planar cells). Planar cells make the FEM analysis impossible.
Such planar cells are generated by volume subdivisions near boundary. Thus, we proposed new boundary stencils for a volumetric subdivision in order not to generate planar cells.

Report

(3 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • Research Products

    (6 results)

All 2010 2008 Other

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (4 results)

  • [Journal Article] Dual Subdivision2008

    • Author(s)
      Hiroshi Kawaharada, Kiwamu Kase
    • Journal Title

      CKJC

      Pages: 15-18

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dual Subdivision2008

    • Author(s)
      川原田寛, 加瀬究
    • Journal Title

      The 4^<th> China-Korea Joint Conference on Geometric and Visual Computing & IJCC Workshop

      Pages: 15-18

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] Interpolate Laplacian Subdivisions2010

    • Author(s)
      川原田寛, 加瀬究
    • Organizer
      IIEEJ Image Electronics and Visual Computing Workshop 2010
    • Place of Presentation
      フランス(ニース)
    • Related Report
      2009 Annual Research Report
  • [Presentation] Visibility of Subdivision Surfaces2010

    • Author(s)
      川原田寛, 加瀬究
    • Organizer
      The 14^<th> International Conference on Geometry and Graphics
    • Place of Presentation
      日本(京都)
    • Related Report
      2009 Annual Research Report
  • [Presentation] Subdivision Matrices of Normals and Jacobians for Surface and Volume Subdivision Schemes2008

    • Author(s)
      川原田寛
    • Organizer
      Mathematics of Surfaces
    • Place of Presentation
      Tonsberg, Norway
    • Year and Date
      2008-07-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] Subdivision Matrices of Normals and Jacobians for Surface and Volume Subdivision Schemes

    • Author(s)
      Hiroshi Kawaharada
    • Organizer
      Mathematical Methods for Curve and Surface 2008
    • Related Report
      2009 Final Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

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