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Theoretical Analysis on Trimmed Surface Connection and Generation of high-quality Trimmed Surface from Measured Point Data

Research Project

Project/Area Number 19H02048
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 18030:Design engineering-related
Research InstitutionShizuoka University

Principal Investigator

Miura Kenjiro T.  静岡大学, 創造科学技術大学院, 教授 (50254066)

Co-Investigator(Kenkyū-buntansha) 梶原 健司  九州大学, マス・フォア・インダストリ研究所, 教授 (40268115)
井ノ口 順一  筑波大学, 数理物質系, 教授 (40309886)
臼杵 深  静岡大学, 電子工学研究所, 准教授 (60508191)
Project Period (FY) 2019-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥17,810,000 (Direct Cost: ¥13,700,000、Indirect Cost: ¥4,110,000)
Fiscal Year 2021: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2020: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2019: ¥12,870,000 (Direct Cost: ¥9,900,000、Indirect Cost: ¥2,970,000)
Keywordsトリム曲面 / 接平面連続性 / 曲率連続性 / B-spline曲線 / B-spline曲面 / ガウス曲率 / 平均曲率 / 意匠デザイン / リバースエンジニアリング / レーザスキャナ / 外装設計 / 自由曲面 / 画像処理 / メッシュモデル / キャラクタライン / 計測データ / フィッティング / 曲面の連続性 / G1 / G2 / 美的曲線 / 美的曲面 / 変分原理 / 美的曲線・曲面理論 / 曲率分布 / 四辺形曲面 / 品質基準 / リ バースエンジニアリング / 高品質曲面 / 自由曲線・曲面
Outline of Research at the Start

自動車の外装設計に用いられている自由曲面には滑らかで美しく高品質であることが要求される.実車のCADモデルには,4辺形パッチをパラメータ空間で切り抜いたトリム曲面が使われている.しかしながら,実務でのニーズが強いにもかかわらずトリム曲面に関する理論的研究はほとんどなされていない.そこで,本研究ではまず,実車外装をレーザスキャナで計測し,それらの曲率分布等の特徴を分析することで実務に使えると判断するための「品質基準」を確立する.次に,トリム曲面を滑らかに接続する理論を構築し,研究代表者が開拓してきた美的曲線・曲面理論をトリム曲面に拡張して「品質基準」を満たすトリム曲面を生成する手法を確立する.

Outline of Final Research Achievements

Free-form surfaces used in automobile exterior design are required to be smooth, beautiful and of high quality. Although there is a strong need in practice, little theoretical research has been done on trimmed surfaces. So, first, as a reverse engineer for the exterior of automobiles using a trim curved surface. A least squares approximation was performed, a quadrilateral surface was fitted, and the trimmed surface was trimmed to generate a trimmed surface. Furthermore, we have researched and developed a method for fitting a tangent plane and a trimmed surface that satisfies the curvature continuity to the triangular mesh data, and succeeded in making the tangent plane of the trimmed surface and the curvature continuous.

Academic Significance and Societal Importance of the Research Achievements

自動車の外装設計に用いられている自由曲面には滑らかで美しく高品質であることが要求される.実車のCADモデルには,4辺形パッチをパラメータ空間で切り抜いたトリム曲面がほぼ必ず使われている.しかしながら,実務でのニーズが強いにもかかわらずトリム曲面に関する理論的研究はほとんどなされていない.このためトリム曲面は現場のノウハウでモデリングされ,設計工学における形状モデリング研究が実務にまったく貢献できていない.本研究によりトリム曲面によるリバースエンジニアリングの可能性を見出すことができ,今後の提案技術の進展により高品質な外装を持つ車で製造可能となる.

Report

(4 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • Research Products

    (40 results)

All 2022 2021 2020 2019 Other

All Int'l Joint Research (5 results) Journal Article (25 results) (of which Int'l Joint Research: 23 results,  Peer Reviewed: 24 results,  Open Access: 24 results) Presentation (9 results) (of which Int'l Joint Research: 6 results,  Invited: 1 results) Book (1 results)

  • [Int'l Joint Research] University Malaysia Terengganu(マレーシア)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] ブダペスト工科経済大学(ハンガリー)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] University Malaysia Terengganu(マレーシア)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] ブダペスト工科経済大学(ハンガリー)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] University Malaysia Terengganu(マレーシア)

    • Related Report
      2019 Annual Research Report
  • [Journal Article] The Development of Log Aesthetic Patch and Its Projection onto the Plane2022

    • Author(s)
      Teh Yee Meng、Gobithaasan R. U.、Miura Kenjiro T.、Albayari Diya’ J.、Ong Wen Eng
    • Journal Title

      Mathematics

      Volume: 10 Issue: 1 Pages: 160-160

    • DOI

      10.3390/math10010160

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Curve and Surface Geometric Modeling via Generalized B?zier-like Model2022

    • Author(s)
      Ameer Moavia、Abbas Muhammad、Miura Kenjiro T.、Majeed Abdul、Nazir Tahir
    • Journal Title

      Mathematics

      Volume: 10 Issue: 7 Pages: 1045-1045

    • DOI

      10.3390/math10071045

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Construction of Cubic Trigonometric Curves with an Application of Curve Modelling2022

    • Author(s)
      Majeed Abdul、Naureen Mehwish、Abbas Muhammad、Miura Kenjiro T.
    • Journal Title

      Mathematics

      Volume: 10 Issue: 7 Pages: 1087-1087

    • DOI

      10.3390/math10071087

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A Comparative Study of Different Schemes Based on B?zier-like Functions with an Application of Craniofacial Fractures Reconstruction2022

    • Author(s)
      Majeed Abdul、Abbas Muhammad、Miura Kenjiro T.
    • Journal Title

      Mathematics

      Volume: 10 Issue: 8 Pages: 1269-1269

    • DOI

      10.3390/math10081269

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Uniqueness Theorem on the Shape of Free-form Curves Defined by Three Control Points2021

    • Author(s)
      Miura Kenjiro T., Wang Dan、Gobithaasan R., Sekine Tadatoshi, Usuki Shin
    • Journal Title

      Computer-Aided Design and Applications

      Volume: 19 Issue: 2 Pages: 293-305

    • DOI

      10.14733/cadaps.2022.293-305

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Generalized Fractional B?zier Curve with Shape Parameters2021

    • Author(s)
      Said Mad Zain Syed Ahmad Aidil Adha、Misro Md Yushalify、Miura Kenjiro T.
    • Journal Title

      Mathematics

      Volume: 9 Issue: 17 Pages: 2141-2141

    • DOI

      10.3390/math9172141

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Shape-adjustable developable generalized blended trigonometric B?zier surfaces and their applications2021

    • Author(s)
      Maqsood Sidra、Abbas Muhammad、Miura Kenjiro T.、Majeed Abdul、Hu Gang、Nazir Tahir
    • Journal Title

      Advances in Difference Equations

      Volume: 2021 Issue: 1 Pages: 1-10

    • DOI

      10.1186/s13662-021-03614-3

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Lines of Curvature for Log Aesthetic Surfaces Characteristics Investigation2021

    • Author(s)
      Gobithaasan R.U.、Teh Yee Meng、Miura Kenjiro T.、Ong Wen Eng
    • Journal Title

      Mathematics

      Volume: 9 Issue: 21 Pages: 2699-2699

    • DOI

      10.3390/math9212699

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Geometric modeling of some engineering GBT-B?zier surfaces with shape parameters and their applications2021

    • Author(s)
      Maqsood Sidra、Abbas Muhammad、Miura Kenjiro T.、Majeed Abdul、BiBi Samia、Nazir Tahir
    • Journal Title

      Advances in Difference Equations

      Volume: 2021 Issue: 1 Pages: 1-12

    • DOI

      10.1186/s13662-021-03643-y

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Generalized trigonometric curve and its spline2021

    • Author(s)
      MIURA Kenjiro T.、GOBITHAASAN Rudrusamy U.、SEKINE Tadatoshi、USUKI Shin
    • Journal Title

      Transactions of the JSME (in Japanese)

      Volume: 87 Issue: 904 Pages: 21-00154-21-00154

    • DOI

      10.1299/transjsme.21-00154

    • NAID

      130008134741

    • ISSN
      2187-9761
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] τ-curve: introduction of cusps to aesthetic curves2020

    • Author(s)
      Miura Kenjiro T、Suzuki Sho、Usuki Shin、Gobithaasan R U
    • Journal Title

      Journal of Computational Design and Engineering

      Volume: 7 Issue: 2 Pages: 155-164

    • DOI

      10.1093/jcde/qwaa014

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Some engineering applications of new trigonometric cubic Bézier-like curves to free-form complex curve modeling2020

    • Author(s)
      USMAN Muhammad、ABBAS Muhammad、MIURA Kenjiro T.
    • Journal Title

      Journal of Advanced Mechanical Design, Systems, and Manufacturing

      Volume: 14 Issue: 4 Pages: JAMDSM0048-JAMDSM0048

    • DOI

      10.1299/jamdsm.2020jamdsm0048

    • NAID

      130007829949

    • ISSN
      1881-3054
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] An extensive analysis of frequency and transient responses in S and C-shaped gears2020

    • Author(s)
      Yahaya S. H.、Salleh M. S.、Miura Kenjiro T.、Abdullah A.、Warikh A. R. M、Jano Z.
    • Journal Title

      Australian Journal of Mechanical Engineering

      Volume: 1 Issue: 3 Pages: 1-13

    • DOI

      10.1080/14484846.2020.1756182

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A Novel Generalization of Trigonometric B?zier Curve and Surface with Shape Parameters and Its Applications2020

    • Author(s)
      Maqsood Sidra、Abbas Muhammad、Hu Gang、Ramli Ahmad Lutfi Amri、Miura Kenjiro T.
    • Journal Title

      Mathematical Problems in Engineering

      Volume: 2020 Pages: 1-25

    • DOI

      10.1155/2020/4036434

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A note on superspirals of confluent type2020

    • Author(s)
      Inoguchi, Jun-ichi, Ziatdinov, Rushan, Ziatdinov Miura, Kenjiro T.
    • Journal Title

      Mathematics

      Volume: 8 Issue: 5 Pages: 762-762

    • DOI

      10.3390/math8050762

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Interpolation of Point Sequences with Extremum of Curvature by Log-aesthetic Curves with G2 continuity2020

    • Author(s)
      Wang Dan、Gobithaasan R.、Sekine Tadatoshi、Usuki Shin、Miura Kenjiro
    • Journal Title

      Computer-Aided Design and Applications

      Volume: 18 Issue: 2 Pages: 399-410

    • DOI

      10.14733/cadaps.2021.399-410

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The Generalized H-B?zier Model: Geometric Continuity Conditions and Applications to Curve and Surface Modeling2020

    • Author(s)
      Li Fenhong、Hu Gang、Abbas Muhammad、Miura Kenjiro T.
    • Journal Title

      Mathematics

      Volume: 8 Issue: 6 Pages: 924-924

    • DOI

      10.3390/math8060924

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Geometric Modeling of Novel Generalized Hybrid Trigonometric B?zier-Like Curve with Shape Parameters and Its Applications2020

    • Author(s)
      BiBi Samia、Abbas Muhammad、Miura Kenjiro T.、Misro Md Yushalify
    • Journal Title

      Mathematics

      Volume: 8 Issue: 6 Pages: 967-967

    • DOI

      10.3390/math8060967

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Surface Modeling from 2D Contours with an Application to Craniofacial Fracture Construction2020

    • Author(s)
      Majeed Abdul、Abbas Muhammad、Miura Kenjiro T.、Kamran Mohsin、Nazir Tahir
    • Journal Title

      Mathematics

      Volume: 8 Issue: 8 Pages: 1246-1246

    • DOI

      10.3390/math8081246

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Explicit Continuity Conditions for G1 Connection of S-λ Curves and Surfaces2020

    • Author(s)
      Hu Gang、Li Huinan、Abbas Muhammad、Miura Kenjiro T.、Wei Guoling
    • Journal Title

      Mathematics

      Volume: 8 Issue: 8 Pages: 1359-1359

    • DOI

      10.3390/math8081359

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Log-aesthetic curves and their relation to fluid flow patterns in terms of streamlines2020

    • Author(s)
      Wo Mei Seen、Gobithaasan R U、Miura Kenjiro T、Loy Kak Choon、Yasmeen Sadaf、Harun Fatimah Noor
    • Journal Title

      Journal of Computational Design and Engineering

      Volume: 8 Issue: 1 Pages: 55-68

    • DOI

      10.1093/jcde/qwaa062

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Geometric modeling and applications of generalized blended trigonometric B?zier curves with shape parameters2020

    • Author(s)
      Maqsood Sidra、Abbas Muhammad、Miura Kenjiro T.、Majeed Abdul、Iqbal Azhar
    • Journal Title

      Advances in Difference Equations

      Volume: 2020 Issue: 1 Pages: 1-12

    • DOI

      10.1186/s13662-020-03001-4

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Geometric Modeling Using New Cubic Trigonometric B-Spline Functions with Shape Parameter2020

    • Author(s)
      Majeed Abdul、Abbas Muhammad、Qayyum Faiza、Miura Kenjiro T.、Misro Md Yushalify、Nazir Tahir
    • Journal Title

      Mathematics

      Volume: 8 Issue: 12 Pages: 2102-2102

    • DOI

      10.3390/math8122102

    • Related Report
      2020 Annual Research Report
  • [Journal Article] G1 Hermite Interpolating with Discrete Log-aesthetic Curves and Surfaces2019

    • Author(s)
      Yagi Kazumichi、Suzuki Sho、Usuki Shin、Miura Kenjiro
    • Journal Title

      Computer-Aided Design and Applications

      Volume: 17 Issue: 3 Pages: 607-620

    • DOI

      10.14733/cadaps.2020.607-620

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Optimal Path Smoothing with Log-aesthetic Curves Based on Shortest Distance, Minimum Bending Energy or Curvature Variation Energy2019

    • Author(s)
      Gobithaasan R.、Yip S.、Miura Kenjiro、Madhavan S.
    • Journal Title

      Computer-Aided Design and Applications

      Volume: 17 Issue: 3 Pages: 639-658

    • DOI

      10.14733/cadaps.2020.639-658

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] 画像処理を援用した三次元測定データのB-spline曲面近似精度向上2021

    • Author(s)
      武智健太郎, 關根惟敏, 臼杵深, 三浦憲二郎
    • Organizer
      2022年度精密工学会春季大会学術講演会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Synthesis of Epsilon Kappa Curves with a GUI in OpenGL for Curve Manipulation2021

    • Author(s)
      Mukundhan Jagadeesan, 關根惟敏, 臼杵深, 三浦憲二郎
    • Organizer
      2022年度精密工学会春季大会学術講演会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Uniqueness Theorem on the Shape of Free-form Curves Defined by Three Control Points2021

    • Author(s)
      Kenjiro T. Miura, Dan Wang, R.U. Gobithaasan, Tadatoshi Sekine, Shin Usuki
    • Organizer
      CAD'21: the 18th annual International CAD Conference,
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Interpolation of Point Sequences with Extremum of Curvature by Log-aesthetic Curves with G2 continuity2020

    • Author(s)
      Dan Wang, R.U. Gobithaasan, Tadatoshi Sekine, Shin Usuki, Kenjiro T. Miura
    • Organizer
      the 2020 International CAD Conference and Exhibition
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] εκ-Curves: Control for the Magnitude of Local Maximum Curvature2020

    • Author(s)
      Kenjiro T. Miura, R.U. Gobithaasan, Peter Salvi, Dang Wang, Tadatoshi Sekine, Shin Usuki, Jun-ichi Inoguchi, Kenji Kajiwara
    • Organizer
      Visual Computing 2020
    • Related Report
      2020 Annual Research Report
  • [Presentation] Log-aesthetic Curves and Surfaces Based on Similarity Geometry,2020

    • Author(s)
      Kenjiro T. Miura
    • Organizer
      1st International Conference on Recent Advances in Mathematics
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Optimal Path Smoothing with Log-aesthetic Curves Based on Shortest Distance, Minimum Bending Energy or Curvature Variation Energy2019

    • Author(s)
      R.U. Gobithaasan, S.W. Yip, Kenjiro T. Miura and S. Madhavan
    • Organizer
      the 2019 International CAD Conference and Exhibition
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Log-aesthetic Curves and Its Relation to Fluid Flow Pattern In Terms of Streamlines2019

    • Author(s)
      Mei Seen Wo, R.U. Gobithaasan, Kenjiro Miura, Kak Choon Loy, Sadaf Yasmeen, F.N. Harun
    • Organizer
      ACCDDE2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] The Properties of τ Curve and its Discretization2019

    • Author(s)
      K.T. Miura, R.U. Gobithaasan, T. Sekine, S. Usuki
    • Organizer
      ACCDDE2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Book] はじめての精密工学 第1巻2022

    • Author(s)
      三浦憲二郎その他48名
    • Total Pages
      246
    • Publisher
      近代科学社
    • ISBN
      9784764960350
    • Related Report
      2021 Annual Research Report

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Published: 2019-04-18   Modified: 2023-01-30  

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