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Development of Free-form Curves and Surface for Shape Design

Research Project

Project/Area Number 10650141
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 設計工学・機械要素・トライボロジー
Research InstitutionShizuoka University

Principal Investigator

MIURA Kenjiro  Shizuoka U., Mechanical Eng. Assoc. Prof., 工学部, 助教授 (50254066)

Co-Investigator(Kenkyū-buntansha) KUBO Takahiro  Hiroshima International U., Medical Eng. Prof., 保健医療学部, 教授 (70225184)
KANEKO Toru  Shizuoka U., Mechanical Eng. Prof., 工学部, 教授 (50293600)
Project Period (FY) 1998 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2001: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2000: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1999: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1998: ¥1,400,000 (Direct Cost: ¥1,400,000)
KeywordsFree-form Curve / Free-form Surface / Derivative / Curvature / Unit Quaternion / リバースエンジニアリング / 単位4元数積分曲線 / 単位4元数積分曲面 / 積分曲線 / 積分曲面
Research Abstract

In this research, we have proposed a techniquenit quaternion curves in integral forms to specify the tangent of a curve and the first derivative of a surface in one parameter direction and established a method to generate(design) hi-quality curves and surfaces. Furthermore, We have proposed a method named fine tuning to change curvature arbitrarily by scaling derivatives. Since only the norm of the derivative is adjusted, the resulting curve or surface keeps the basic shape of the original profile and curvature distribution. Therefore, the new technique is especially suitable for last minute fine tuning of the design process. Other advantages include : (1) the fine tuning process is a real local method, it can be performed on any portion of a curve or a surface, not just on a set of segments or patches ; (2) by allowing a user to drag a scalar function to directly adjust the curvature (and, consequently, fairness) of a curve or surface, the new technique makes the shape design process more intuitive and effective ; (3) the new technique is suitable for precise shaping and deforming such as making the curvature of a specific portion twice as big. In many cases, it can achieve results that other methods such as FFD can not. We have justified the validities of our methods by developing software systems based on them.

Report

(5 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] 三浦憲二郎: "単位4元数積分曲線による点列の内挿"情報処理学会論文誌. 39.7. 2159-2167 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.T.Miurata: "Unit Quaternion Integral Curve"Computer Aided Geometric Design. 17.1. 39-58 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 神野, 北野, 三浦, 金子: "単位4元数積分曲面による回転体の表現とその変形"情報処理学会論文誌. 41.3. 522-530 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 三浦憲二郎: "単位4元数積分曲面"情報処理学会論文誌. 41.3. 722-732 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] L.Wang, K.T.Miura: "An approximation approach of the clothoid curve"Computer Aided Design. 33.14. 1049-1058 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.T.Miura, L.Wang, F.Cheng: "Streamline Modeling with Subdivision Surfaces on the Grussian Sphere"Computer-Aided Design. 33.13. 975-987 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.T. Miura: "Interpolation of 3D Points by Unit Quaternion Integral Curves"Transactions of Infromation Processing Society of Japan. vol.39, no.7. 2159-2167 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.T. Miura: "Unit Quaternion Integral Curve : A New type of fair Free-Form Curves"Computer Aided Geometric Design. vol.17. 39-58 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M. Kohno, H. Kitano, K.T. Miura, Kanako, T.: "Revolution Surfaces Represented by QI Surfaces and Their Deformations"Transactions of Infromation Processing Society of Japan. vol.41, no.3. 522-530 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.T. Miura: "Unit Quaternion Integral Surfaces"Transaction of Infromation Processing Society of Japan. vol.41, no.3. 722-732 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] L. Wang, K. T. Miura: "An approximation approach of the clothoid curve defined in the interval [O,pi/2] and its offset by free-from curves"Computer-Aided Design. Vol.33, No.14. 1049-1058 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. T. Miura, L. Wang, F. Cheng: "Streamline Modeling with Subdivision Surfaces on the Gaussian Sphere"Computer-Aided Design. Vol.33, No.13. 975-987 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.T.Miura, Lazhu Wang, F.Cheng: "Linear Combination of Tangent Vectors and Its Application"3D Forum. 15・1. 104-109 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] L.Wang, K.T.Miura: "An Explicit Formula of Normal Vectors of NVRBS Surfaces"3D Forum. 15・1. 152-157 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 田中一郎, 増田宏, 三浦憲二郎: "ポリゴン簡略化手法の数値解析用モデル作成への応用"日本設計工学会誌. 36・4. 171-175 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.T.Miura, J.Sone: "Interactive Curve Deformation by Scaling Derivatives"3D Forum. 15・4. 107-112 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.T.Miura, J.Sone: "Conversion from the Doo-Sabin to Catmull-Clark Subdivision Surfaces"3D Forum. 15・4. 113-118 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.T.Miura, F.Cheng: "Fine Tuning : Curve and Surface Deformation by Scaling Derivatives"Proc. Pacific Graphics 2001. 150-159 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.T.Miura,L.Wang,F.cheng: "Patch Reduction in Surface Reconstruction"3D Forum. 14・4. 111-116 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Kohno,K.T.Miura: "Generalized cylinders Expressed by QISurfaces."3D Forum. 14・4. 140-145 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] L.Wang,K.T.Miura: "An Effluent Algorithm of Intersecting a NVRB Surface"3D Forum. 14・4. 152-157 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.T.Hiura,L.Wang,F.Thing: "Linear Combination of Tangent Vectors and Its Application"3D Forum. 15・1. 86-91 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 崎山直樹,三浦憲二郎: "最適点列からの単位4元数積分曲線の生成"グラフィックスとCAD予稿集. 95-100 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 三浦憲二郎: "ガウス球上の細分割曲面を用いたストリームライソモデリング"グラフィックスとCAD予稿集. 95-100 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Kenjiro T.Miura: "Vnit quaternion integral curve"Computer Aided Geometric Design. Vol.17. 39-58 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 三浦憲二郎: "単位4元数積分曲線"情報処理学会論文誌. 41・3. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 神野元紀: "単位4元数積分曲面による回転体の表現とその変形"情報処理学会論文誌. 41・3. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 三浦憲二郎: "単位4元数積分曲線による点列の内挿" 情報処理学会論文誌. 39・7. 2159-2167 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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