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A Geometrical Analysis of Aesthetic Free-form Surface and Its Application to Surface Design

Research Project

Project/Area Number 05680319
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 情報システム学(含情報図書館学)
Research InstitutionTokyo Denki University

Principal Investigator

SAITO Tuyoshi  Tokyo Denki Univ., Dpt.of Engin., Associate Professor, 工学部, 助教授 (20130297)

Co-Investigator(Kenkyū-buntansha) HIGASHI Masatake  Toyota Technological Institute, Dpt.of Engin., Professor, 工学部, 教授 (70189752)
HOSAKA Mamoru  Tokyo Denki Univ., Research Institute for Technology, Professor, 総合研究所, 教授 (40013601)
Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1994: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1993: ¥1,700,000 (Direct Cost: ¥1,700,000)
KeywordsFree-Form Surface / Surface Evaluation / Surface Design / Surface Edge / Evolute / Involute / Visualization / CADシステム / 曲面形状生成
Research Abstract

The purpose of this research is analize and visualize properties of aesthetic surfaces, and to construct shapes which satisfy designer's intention.
In order to make clear the properties, a new concept, which we call surface edges of free-form surface, is introduced. The surface edges have similar properties as edges of a polyhedron, and are defined by the differential equations which are derived from equations for contour curves for height, distance, gradient, principal curvature and so on. The surface edges are classified into two types : inherent surface edge and environments-dependent surface edge. The inherent surface edge is defined by principle curvature which is perculiar to the surface, therefore with it we can reveal intrinsic characteristics to the surface. The environments-dependent surface edge is defined by the value on the surface that depend on a view points a light position. This kinds of surface edges affect directly to the appearance of the surfaces. The results of thi … More s research give fundamental technology to generate an aesthetic shape according to styling designers'feeling.
To satisfy designer's intention for constructing aesthetic shapes such as automotive bodies, we have proposed a curve contruction method as the first step of free-form-shape design. In surface design process, designers determine shapes according to their feeling which is greatly concerned to shade lines, high-light lines and reflected images of the surrounding scene. Since the reflection and shading is affected by the curvature variation of the surfaces the curvature variation is important factor and should be distributed as designers want. By our previous experiments we found that designer wants the curve whose curvature plot is monotone and has less than two inflection points. To synthesis such curves we develope a curve generation method based on its evolute. From the boundary conditions we represent the evolute as a Bezier curve, and obtain its involute and then fit the curve by G^2NURBS as an objective curve. And we also treat a method of curve modification, an application to surface construction and evaluation of our method. Less

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (11 results)

All Other

All Publications (11 results)

  • [Publications] 東 正毅: "縮閉線に基づく曲率変化の滑らかな曲線曲面の生成" 精密工学会誌. 59. 141-146 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 斎藤 剛: "自由曲面を含む3次元幾何モデルに対する高次処理に関する研究" 東京電機大学総合研究所年報. 13. 191-198 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M. Higashi: "Face-Based Data Structure and its Application to Robust Geometric Modeling" Proc. of Solid Modeling '95. (予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 穂坂 衛: "統合化CAD/CAMシステム" (株)オーム社, 560 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M., Higasi: "Generation of Curves and Surfaces with Smoothly Varying Curvature Based on Evolutes" Journal of JPES. 59-11 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T., Saitoh: "A Geometrical Analysis of Aesthetic Free-form Surface and Its Aplication to Surface Design" Annual Rep.of Res.Inst.for Tech.Tokyo Denki Univ.13 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] M., Hosaka: Integrated CAD/CAM system. OHM-sha, (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 東正毅: "縮閉線に基づく曲率変化の滑らかな曲線曲面の生成" 精密工学会誌. 59. 141-146 (1993)

    • Related Report
      1994 Annual Research Report
  • [Publications] 斉藤剛: "自由曲面を含む3次元幾何モデルに対する高次処理に関する研究" 東京電機大学総合研究所年報. 13. 191-198 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 穂坂衛: "統合化CAD/CAMシステム" オーム社, 560 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 東 正毅: "縮閉線に基づく曲率変化の滑らかな曲線曲面の生成" 精密工学会誌. 59. 141-146 (1993)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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