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A STUDY ON NC-CUTTER PATH GENERATION FOR SUBDIVISION SURFACES

Research Project

Project/Area Number 13650146
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 InstitutionTHE UNIVERSITY OF TOKYO

Principal Investigator

SUZUKI Hiromasa  The University of Tokyo, School of Engineering, Professor, 大学院・工学系研究科, 教授 (40187761)

Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2002: ¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 2001: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsSubdivision Surface / Skinning / Surface Interpolation / CAD / Free Form Surface / 細分割 / 曲面デザイン
Research Abstract

Recently, subdivision surfaces are getting more attention. However in contrast to the case of parametric surfaces, there are not enough modeling tools for subdivision surfaces. In this paper, we propose a method for direct construction of subdivision surfaces with popular skinning and interpolation methods. The skinning methods consists of two different approaches. One focuses on smoothness of the resulting surface and the other on features of the give curves. With this method, intuitive construction of subdivision surface from given sectional curves and path curve can be made.
Our interpolation method is designed to take a set of design curves which are not assumed to have accurate connectivity so as to facilitate the designer to input curves. First our method deduces the connectivity from the spatial relationship of the curves and then decides the topology of the surface. Then it applies combined subdivision scheme to generate an interpolating surface. The generated surface is guaranteed to go through the curves given by the designer.
Based on those methods, prototype software was developed to evaluate them using several examples. The results show that those methods are effective for surface design, but for some cases they fail to generate fair surfaces. It suggests our future work to extend the method and subdivision schemes.

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (13 results)

All Other

All Publications (13 results)

  • [Publications] 鈴木宏正他: "点群および多面体データに基づく細分割曲面の生成手法"日本機会学論文誌C編. 67・653. 284-289 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Suzuki 他: "Subdivision Surface Approximation of Data Points and Polygon Models"JSME Int. J, Series C. 45・3. 809-814 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Suzuki 他: "Interpretation of Single Sketch Input for Mesh and Solid Models"Int. J. Shape Modeling. 6・2. 207-241 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 鈴木宏正: "デジタルエンジニアリングを支える離散幾何モデル"精密工学会誌. 69・4(掲載予定). (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 鈴木宏正: "自由形状を表現するサブディビジョンサーフェスモデリング"日本機械学会誌. 104・989. 239-239 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Shiogo Takeuchi, Hiromasa Suzuki, Takashi Kanai, and Fumihiko Kimura: "Subdivision Surface Approximation of Data Points and Polygon Models"Trans. JSME. 67, No. 653. 284-289 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Shingo TAKEUCHI, Hiromasa SUZUKI, Takashi KANAI, and Fumihiko KIMURA: "Subdivision Surface Approximation of Data Points and Polygon Models"JSME Int. J, Series C. 45, No.3. 809-814 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] P.A.C. Varley, H. Suzuki, J. Mitani and R.R. Martin: "Interpretation of Single Sketch Input for Mesh and Solid Models"Int. J. Shape Modeling. 6, No.2. 207-241 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Hiromasa Suzuki: "Discrete Geometric Modeling for Digital Engineering (in Japanese)"J. JSPE. 69, No.4, To appear. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Hiromasa Suzuki: "Subdivision Surface Modeling for Free Form Design (in Japanese)"JSME Magazine. 104, No. 989. 239 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Suzuki 他: "Subdivision Surface Approximation of Data Points and Polygon Models"JSME Int. J, Series C. 45・3. 809-814 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 鈴木宏正: "デジタルエンジニアリングを支える離散幾何モデル"精密工学会誌. 69・4(掲載予定). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 鈴木宏正: "自由形状を表現するサブディビジョンサーフェスモデリング"日本機械学会誌. 104・989. 239 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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