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Generation of an Implicit Surface Based on the Delaunay Tetrahedralization

Research Project

Project/Area Number 20700098
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Media informatics/Database
Research InstitutionSeikei University

Principal Investigator

ITOH Taku  Seikei University, 理工学部, 助教 (80433853)

Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
KeywordsDelaunay分割 / 陰関数曲面 / 3次元形状再構成 / 可視化 / CG / 法線推定 / 3次元 / 形状再構成 / コンピュータグラフィックス
Research Abstract

The purpose of this study is generation of an implicit function that can be fast visualized. To this end, the implicit surface is replaced by a reconstructed result generated by the Delaunay tetrahedralization. In addition, the characteristics of conventional implicit functions are appended to the reconstructed result. Study results of this program are as follows : first, a method for erasing redundant surfaces of a reconstructed result generated by the Delaunay tetrahedralization has been developed. In this method, the redundant surfaces are recognized by using a simplified generated implicit function. In addition, by using the simplified generated implicit function, procedures of visualization and those of generating an implicit function are completely separated, and the characteristics of conventional implicit functions are appended to the result generated by the Delaunay tetrahedralization. Moreover, in order to obtain a reconstructed result from the point data without normals, a method for estimation of point normals has been developed. Experiments illustrate that, by using the estimated point normals, some expected results generated by the Delaunay tetrahedralization are obtained from the point data without normals.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (55 results)

All 2011 2010 2009 2008 Other

All Journal Article (23 results) (of which Peer Reviewed: 23 results) Presentation (31 results) Remarks (1 results)

  • [Journal Article] Development of 2-D Meshless Approaches without Using Integration Cells2011

    • Author(s)
      A.Saitoh, N.Matsui, T.Itoh, A.Kamitani
    • Journal Title

      Trans. on Magn. Vol.47, No.5

      Pages: 1222-1225

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Method of Boundary Estimation from 3D Scattered Point Data without Normals by Implicit Function and Delaunay Tetrahedralization2011

    • Author(s)
      T.Itoh
    • Journal Title

      Journal of Visualization

      Volume: (in press)

    • NAID

      10030161368

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Development of Two-Dimensional Meshless Approaches without Using Integration Cells2011

    • Author(s)
      A.Saitoh, N.Matsui, T.Itoh, A.Kamitani
    • Journal Title

      Trans.on Magn.

      Volume: (in press)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Efficient Evaluation of Influence Coefficients in Three-Dimensional Extended Boundary-Node Method for Potential Problems2011

    • Author(s)
      T.Itoh, A.Saitoh, A.Kamitani, H.Nakamura
    • Journal Title

      Plasma and Fusion Research

      Volume: (in press)

    • NAID

      130002059516

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] New Implementation Method for Essential Boundary Condition to Extended Element-Free Galerkin Method : Application to Nonlinear Problem2011

    • Author(s)
      A.Saitoh, T.Itoh, N.Matsui, A.Kamitani, H.Nakamura
    • Journal Title

      Plasma and Fusion Research

      Volume: (in press)

    • NAID

      130002059510

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Extension of Meshless Galerkin/Petrov-Galerkin Approach without Using Lagrange Multipliers2011

    • Author(s)
      A.Kamitani, T.Takayama, T.Itoh, H.Nakamura
    • Journal Title

      Plasma and Fusion Research

      Volume: (in press)

    • NAID

      130002059506

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] High Performance Iterative Solver for Linear System using Multi GPU2011

    • Author(s)
      S.Ikuno, N.Fujita, Y.Kawaguchi, T.Itoh, S.Nakata, H.Nakamura
    • Journal Title

      Plasma and Fusion Research

      Volume: (in press)

    • NAID

      130002059505

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Three Dimensional Extended Boundary Node Method to Potential Problem2010

    • Author(s)
      T.Itoh, A.Saitoh, A.Kamitani, H.Nakamura
    • Journal Title

      Plasma and Fusion Research Vol.5

    • NAID

      130000669101

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Application of Two Dimensional Extended Boundary Node Method to Potential Problem2010

    • Author(s)
      A.Saitoh, T.Itoh, A.Kamitani, N.Matsui, H.Nakamura
    • Journal Title

      Plasma and Fusion Research Vol.5

    • NAID

      130000669098

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Three Dimensional Extended Boundary Node Method to Potential Problem2010

    • Author(s)
      T.Itoh, A.Saitoh, A.Kamitani, H.Nakamura
    • Journal Title

      Plasma and Fusion Research

      Volume: Vol.5

    • NAID

      130000669101

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Application of Two Dimensional Extended Boundary Node Method to Potential Problem2010

    • Author(s)
      A.Saitoh, T.Itoh, A.Kamitani, N.Matsui, H.Nakamura
    • Journal Title

      Plasma and Fusion Research

      Volume: Vol.5

    • NAID

      130000669098

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Surface Reconstruction with an Interactive Modification of Point Normals2010

    • Author(s)
      T.Itoh
    • Journal Title

      Lecture Notes in Computer Science Vol.6026(in press)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Three Dimensional Extended Boundary Node Method to Potential Problem2010

    • Author(s)
      T.Itoh, A.Saitoh, A.Kamitani, H.Nakamura
    • Journal Title

      Plasma and Fusion Research (in press)

    • NAID

      130000669101

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Application of Two Dimensional Extended Boundary Node Method to Potential Problem2010

    • Author(s)
      A.Saitoh, T.Itoh, A.Kamitani, N.Matsui, H.Nakamura
    • Journal Title

      Plasma and Fusion Research (in press)

    • NAID

      130000669098

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Method of Boundary Estimation from 3D Scattered Point Data without Normals by Implicit Function and Delaunay Tetrahedralization2009

    • Author(s)
      T.Itoh
    • Journal Title

      Asia Simulation Conference 2009 proceedings CD-ROM

      Pages: 64-64

    • NAID

      10030161368

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Method of Normal Estimation from Node Coordinates by an Implicit Function with Appropriate Constraints2009

    • Author(s)
      T.Itoh
    • Journal Title

      AIP Conference Proceedings 1168 Vol. 1

      Pages: 482-485

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Development of Dual-Reciprocal Extended Boundary-Node Method2009

    • Author(s)
      A.Saitoh, T.Itoh, A.Kamitani
    • Journal Title

      AIP Conference Proceedings 1168 Vol. 1

      Pages: 350-353

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Surface Reconstruction from 3D Scattered Points with Normals Using Both Delaunay Tetrahedralization and Implicit Function2008

    • Author(s)
      Taku Itoh
    • Journal Title

      Proc. of Asia Simulation Conference 2008 (7th Intl. Conf. on Sys. Simulation and Scientific Computing)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Method of Boundary Estimation from 3D Scattered Point Data without Normals by Implicit Function and Delaunay Tetrahedralization

    • Author(s)
      T.Itoh
    • Journal Title

      Journal of Visualization in press

    • NAID

      10030161368

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Efficient Evaluation of Influence Coefficients in Three-Dimensional Extended Boundary-Node Method for Potential Problems

    • Author(s)
      T.Itoh, A.Saitoh, A.Kamitani, H.Nakamura
    • Journal Title

      Plasma and Fusion Research in press

    • NAID

      130002059516

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] New Implementation Method for Essential Boundary Condition to Extended Element-Free Galerkin Method : Application to Nonlinear Problem

    • Author(s)
      A.Saitoh, T.Itoh, N.Matsui, H.Nakamura
    • Journal Title

      Plasma and Fusion Research in press

    • NAID

      130002059510

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Extension of Meshless Galerkin/Petrov-Galerkin Approach without Using Lagrange Multipliers

    • Author(s)
      A.Kamitani, T.Takayama, T.Itoh, H.Nakamura
    • Journal Title

      Plasma and Fusion Research in press

    • NAID

      130002059506

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] High Performance Iterative Solver for Linear System using Multi GPU

    • Author(s)
      S.Ikuno, N.Fujita, Y.Kawaguchi, T.Itoh, S.Nakata, H.Nakamura
    • Journal Title

      Plasma and Fusion Research in press

    • NAID

      130002059505

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Presentation] EFG法を用いた超伝導内遮蔽電流密度シミュレーション2010

    • Author(s)
      生野壮一郎, 伊東拓, 高山彰優, 神谷淳
    • Organizer
      第19回MAGDAコンファレンス
    • Place of Presentation
      札幌
    • Year and Date
      2010-11-23
    • Related Report
      2010 Final Research Report
  • [Presentation] 構成方程式修正法による高温超伝導体内遮蔽電流密度解析2010

    • Author(s)
      神谷淳, 高山彰優, 伊東拓, 生野壮一郎
    • Organizer
      第19回MAGDAコンファレンス
    • Place of Presentation
      札幌
    • Year and Date
      2010-11-23
    • Related Report
      2010 Final Research Report
  • [Presentation] 構成方程式修正法による高温超伝導体内遮蔽電流密度解析2010

    • Author(s)
      神谷淳, 高山彰優, 伊東拓, 生野壮一郎
    • Organizer
      第19回 MAGDAコンファレンス
    • Place of Presentation
      札幌
    • Year and Date
      2010-11-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] EFG法を用いた超伝導内遮蔽電流密度シミュレーション2010

    • Author(s)
      生野壮一郎, 伊東拓, 高山彰優, 神谷淳
    • Organizer
      第19回 MAGDAコンファレンス
    • Place of Presentation
      札幌
    • Year and Date
      2010-11-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] 可変的前処理付き反復法のGPUによる高速化とそのWebアプリケーション2010

    • Author(s)
      生野壮一郎, 藤田典久, 伊東拓, 仲田晋
    • Organizer
      静止器 回転機 合同研究会
    • Place of Presentation
      鹿児島
    • Year and Date
      2010-09-28
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] New Method for Implementing Essential Boundary Condition to Element-Free Galerkin Method2010

    • Author(s)
      A.Saitoh, T.Itoh, N.Matsui, A.Kamitani
    • Organizer
      In AIP Conference Proceedings 1281 Vol.3 pp.2053-2056
    • Place of Presentation
      Rhodes.
    • Year and Date
      2010-09-21
    • Related Report
      2010 Final Research Report
  • [Presentation] New Method for Implementing Essential Boundary Condition to Element-Free Galerkin Method2010

    • Author(s)
      A.Saitoh, T.Itoh, N.Matsui, A.Kamitani
    • Organizer
      ICNAAM 2010
    • Place of Presentation
      Rhodes, Greece
    • Year and Date
      2010-09-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] Web Application for Evaluating Performance of Linear System Solver Using GPU2010

    • Author(s)
      S.Ikuno, N.Fujita, T.Itoh
    • Organizer
      In AIP Conference Proceedings 1281 Vol.1, pp.675-678
    • Place of Presentation
      Rhodes.
    • Year and Date
      2010-09-20
    • Related Report
      2010 Final Research Report
  • [Presentation] Web Application for Evaluating Performance of Linear System Solver Using GPU2010

    • Author(s)
      S.Ikuno, N.Fujita, T.Itoh
    • Organizer
      ICNAAM 2010
    • Place of Presentation
      Rhodes, Greece
    • Year and Date
      2010-09-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] Generation of a Smooth Implicit Function Distributed over the Entire Domain from Large Scattered Point Data2010

    • Author(s)
      T.Itoh, A.Saitoh, A.Kamitani
    • Organizer
      In AIP Conference Proceedings 1281 Vol.3, pp.2188-2191
    • Place of Presentation
      Rhodes.
    • Year and Date
      2010-09-19
    • Related Report
      2010 Final Research Report
  • [Presentation] Generation of a Smooth Implicit Function Distributed over the Entire Domain from Large Scattered Point Data2010

    • Author(s)
      T.Itoh, A.Saitoh, A.Kamitani
    • Organizer
      ICNAAM 2010
    • Place of Presentation
      Rhodes, Greece
    • Year and Date
      2010-09-19
    • Related Report
      2010 Annual Research Report
  • [Presentation] 領域型メッシュレス法の拡張-基本境界条件の新たな組み込み方法-2010

    • Author(s)
      齋藤歩, 伊東拓, 松井伸之, 神谷淳, 中村浩章
    • Organizer
      第4回シミュレーション科学シンポジウム
    • Place of Presentation
      土岐
    • Year and Date
      2010-09-14
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] 3次元拡張境界節点法のための全領域で定義される陰関数生成2010

    • Author(s)
      伊東拓, 齋藤歩, 神谷淳, 中村浩章
    • Organizer
      第4回シミュレーション科学シンポジウム
    • Place of Presentation
      土岐
    • Year and Date
      2010-09-14
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] RBF法から得られる連立1次方程式の反復法の数値的評価2010

    • Author(s)
      生野壮一郎, 藤田典久, 川口優樹, 伊東拓, 仲田晋
    • Organizer
      第4回シミュレーション科学シンポジウム
    • Place of Presentation
      土岐
    • Year and Date
      2010-09-14
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] エレメントフリーガラーキン法によるGPUにおける高速化2010

    • Author(s)
      柳沢洋平, 伊東拓, 神田芳文
    • Organizer
      2010年度年会
    • Place of Presentation
      東京
    • Year and Date
      2010-09-07
    • Related Report
      2010 Final Research Report
  • [Presentation] エレメントフリーガラーキン法によるGPUにおける高速化2010

    • Author(s)
      柳沢洋平, 伊東拓, 神田芳文
    • Organizer
      日本応用数理学会2010年度年会
    • Place of Presentation
      東京
    • Year and Date
      2010-09-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] 3次元拡張境界節点法における影響係数評価の高速化2010

    • Author(s)
      伊東拓, 齋藤歩, 神谷淳
    • Organizer
      日本応用数理学会2010年度年会
    • Place of Presentation
      東京
    • Year and Date
      2010-09-06
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] 2次元境界型及び領域型拡張メッシュレス法の開発2010

    • Author(s)
      齋藤歩, 伊東拓, 松井伸之, 神谷淳
    • Organizer
      日本応用数理学会2010年度年会
    • Place of Presentation
      東京
    • Year and Date
      2010-09-06
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] 3次元拡張境界節点法のためのMRBF法をベースとした陰関数生成2010

    • Author(s)
      伊東拓, 齋藤歩, 神谷淳
    • Organizer
      第29回日本シミュレーション学会大会
    • Place of Presentation
      米沢
    • Year and Date
      2010-06-20
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] 積分セルを用いない領域型及び境界型メッシュレス法の開発2010

    • Author(s)
      齋藤歩, 伊東拓, 松井伸之, 神谷淳
    • Organizer
      第29回日本シミュレーション学会大会
    • Place of Presentation
      米沢
    • Year and Date
      2010-06-19
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] Development of Three-Dimensional Extended Boundary-Node Method for Potential Problem2010

    • Author(s)
      T.Itoh, A.Saitoh, A.Kamitani
    • Organizer
      In IEEE CEFC 2010 proceedings, Paper ID : 1497
    • Place of Presentation
      Chicago.(CD-ROM)
    • Year and Date
      2010-05-11
    • Related Report
      2010 Final Research Report
  • [Presentation] Development of Three-Dimensional Extended Boundary-Node Method for Potential Problem2010

    • Author(s)
      T.Itoh, A.Saitoh, A.Kamitani
    • Organizer
      IEEE CEFC 2010
    • Place of Presentation
      Chicago, USA
    • Year and Date
      2010-05-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] Surface Reconstruction with an Interactive Modification of Point Normals2010

    • Author(s)
      T.Itoh
    • Organizer
      In Lecture Notes in Computer Science Vol.6026, pp.263-274
    • Place of Presentation
      Buffalo.
    • Year and Date
      2010-05-06
    • Related Report
      2010 Final Research Report
  • [Presentation] Surface Reconstruction with an Interactive Modification of Point Normals2010

    • Author(s)
      T.Itoh
    • Organizer
      CompIMAGE'10
    • Place of Presentation
      Buffalo, USA
    • Year and Date
      2010-05-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] 3次元拡張境界節点法の開発2009

    • Author(s)
      伊東拓, 齋藤歩, 神谷淳
    • Organizer
      日本応用数理学会2009年度年会
    • Place of Presentation
      大阪
    • Year and Date
      2009-09-30
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] 2次元拡張境界節点法の開発2009

    • Author(s)
      齋藤歩, 伊東拓, 神谷淳
    • Organizer
      日本応用数理学会2009年度年会
    • Place of Presentation
      大阪
    • Year and Date
      2009-09-30
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] Development of Dual-Reciprocal Extended Boundary-Node Method2009

    • Author(s)
      A.Saitoh, T.Itoh, A.Kamitani
    • Organizer
      In AIP Conference Proceedings 1168 Vol.1, pp.350-353
    • Place of Presentation
      Crete.
    • Year and Date
      2009-09-22
    • Related Report
      2010 Final Research Report
  • [Presentation] A Method of Normal Estimation from Node Coordinates by an Implicit Function with Appropriate Constraints2009

    • Author(s)
      T.Itoh
    • Organizer
      In AIP Conference Proceedings 1168 Vol.1, pp.482-485
    • Place of Presentation
      Crete.
    • Year and Date
      2009-09-18
    • Related Report
      2010 Final Research Report
  • [Presentation] 陰関数を用いたDelaunayメッシュクリーニングの高速化2009

    • Author(s)
      伊東拓
    • Organizer
      電子情報通信学会2009年総合大会
    • Place of Presentation
      松山
    • Year and Date
      2009-03-19
    • Related Report
      2010 Final Research Report 2008 Annual Research Report
  • [Presentation] Surface Reconstruction from 3D Scattered Points with Normals Using Both Delaunay Tetrahedralization and Implicit Function2008

    • Author(s)
      T.Itoh, Y.Kanda
    • Organizer
      In Asia Simulation Conference 2008 proceedings pp.950-955
    • Place of Presentation
      Beijing.
    • Year and Date
      2008-10-11
    • Related Report
      2010 Final Research Report
  • [Presentation] Delaunay分割とMPU法による法線情報付き3次元離散点データからの形状再構成2008

    • Author(s)
      伊東拓, 神田芳文
    • Organizer
      第27回日本シミュレーション学会大会
    • Place of Presentation
      草津
    • Year and Date
      2008-06-20
    • Related Report
      2010 Final Research Report 2008 Annual Research Report
  • [Remarks]

    • URL

      http://www.seikei.ac.jp/university/rikou/teachers/itoh_t.html

    • Related Report
      2010 Annual Research Report

URL: 

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

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