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Implicit representation of three-dimensional surfaces and its application to simulation

Research Project

Project/Area Number 21K11928
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 60100:Computational science-related
Research InstitutionRitsumeikan University

Principal Investigator

Nakata Susumu  立命館大学, 情報理工学部, 教授 (00351320)

Project Period (FY) 2021-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2023: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2022: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2021: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywordsシミュレーション / コンピュータグラフィックス / 形状モデリング / 3次元形状表現 / 計算機シミュレーション / 有限要素解析
Outline of Research at the Start

力学的な現象のシミュレーションでは3次元形状の表現が重要であり、本研究課題ではこのシミュレーションに適した3次元形状の表現手法の確立を目指す。従来のCAD等ではシミュレーションが難しい場面においても対応しやすい新しい形状表現手法を開発することが本研究課題の独自性である。特に、少ないデータ量で複雑形状を表現できるか、その形状をリアルタイムで描画できるか、解析対象の形状情報から有限要素メッシュを生成できるかといった問いに対し、数理的な手法を用いて解決策を講じることで実用的な手法の開発を行う。応用事例としては発泡金属の材料特性の解析を想定し、有限要素解析における本手法の効果を確認する。

Outline of Final Research Achievements

The main focus of this work is to develop a method for representing three-dimensional surfaces in a manner suitable for physics-based simulation of three-dimensional objects like finite element method. More specifically, it targets principal issues related to data reduction and fast visualization of complex surface models.
Additionally, the technique for generating three-dimensional surfaces has been developed aiming applications in material engineering simulations. In particular, several new methods have been introduced for shape modeling of materials known as foamed metals, which consist of solid metal with randomly distributed small holes.

Academic Significance and Societal Importance of the Research Achievements

材料工学を含む工学の広い分野では物理現象のシミュレーションが重要な役割を果たしており,シミュレーションの対象となる物体の3次元形状を正確に表現することが精度を決める主要因の一つとなっている.本研究は複雑な3次元形状をコンピュータ上で正確に表現すること,およびその形状を画面上で高速に描画することを目的としており,この技術を応用することで各分野におけるシミュレーションの高度化の促進を期待するものである.

Report

(4 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • Research Products

    (7 results)

All 2023 2022 2021

All Journal Article (4 results) (of which Peer Reviewed: 4 results,  Open Access: 2 results) Presentation (3 results) (of which Int'l Joint Research: 2 results)

  • [Journal Article] Interactive Restoration of Three-Dimensional Implicit Surface with Irregular Parts2023

    • Author(s)
      Ren Jiayu、Fujita Yoshihisa、Nakata Susumu
    • Journal Title

      Computer Modeling in Engineering & Sciences

      Volume: 136 Issue: 3 Pages: 2111-2125

    • DOI

      10.32604/cmes.2023.025970

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Performance Evaluation of Electromagnetic Shield Constructed from Open-Cell Metal Foam Based on Sphere Functions2022

    • Author(s)
      Hanaoka Yuya、Itoh Taku、Tateyama Kohei、Nakata Susumu、Watanabe Keiko
    • Journal Title

      Computer Modeling in Engineering & Sciences

      Volume: 132 Issue: 1 Pages: 43-53

    • DOI

      10.32604/cmes.2022.016831

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Interactive Restoration of Implicitly Defined Shapes2022

    • Author(s)
      Ren Jiayu、Fujita Yoshihisa、Nakata Susumu
    • Journal Title

      Computational and Experimental Simulations in Engineering

      Volume: 119 Pages: 165-180

    • DOI

      10.1007/978-3-031-02097-1_13

    • ISBN
      9783031020964, 9783031020971
    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Shape Modelling of Metal Foams of Open/Closed States and their Intermediates by Implicit Function2021

    • Author(s)
      Y. Hanaoka, T. Itoh, K. Tateyama, S. Nakata, and K. Watanabe
    • Journal Title

      Journal of Advanced Simulation in Science and Engineering

      Volume: 8 Issue: 1 Pages: 143-153

    • DOI

      10.15748/jasse.8.143

    • NAID

      130008051334

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] Modeling of Metal Foams with Adjustable Wall Thickness in Targeted Direction2023

    • Author(s)
      Naoki Hamano, Taku Itoh, Kohei Tateyama, Susumu Nakata, Keiko Watanabe
    • Organizer
      42nd JSST Annual International Conference on Simulation Technology
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Shape Modeling of Metal Foam Based on Implicit Surfaces Generated from Deformed Polyhedra2022

    • Author(s)
      Naoki Hamano, Taku Itoh, Kohei Tateyama, Susumu Nakata and Keiko Watanabe
    • Organizer
      JSST Annual International Conference on Simulation Technology
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] 適応的な区分的多項式型陰関数曲面の生成2021

    • Author(s)
      工藤 雅也,藤田 宜久,仲田 晋
    • Organizer
      日本応用数理学会 2021年度 年会
    • Related Report
      2021 Research-status Report

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Published: 2021-04-28   Modified: 2025-01-30  

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