1997 Fiscal Year Final Research Report Summary
METHOD FOR MODELING AESTHETIC PRODUCT-SHAPE FROM 3D MEASURED DATA BY B2/S-SPLINES
| Project/Area Number |
08650182
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
設計工学・機械要素・トライボロジー
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| Research Institution | TOYOTA TECHNOLOGICAL INSTITUTE |
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Principal Investigator |
KURODA Mitsuru TOYOTA TECHNOLOGICAL INSTITUTE,INFORMATION AND CONTROL ENGINEERING,ASSOCIATE PROFESSOR, 工学部, 助教授 (00021600)
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| Co-Investigator(Kenkyū-buntansha) |
FURUKAWA Susumu YAMANASHI UNIVERSITY,MECHANICAL SYSTEM ENGINEERING,PROFESSOR, 工学部, 教授 (40020408)
HIGASHI Masatake TOYOTA TECHNOLOGICAL INSTITUTE,MECHANICAL SYSTEM ENGINEERING,PROFESSOR, 工学部, 教授 (70189752)
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| Project Period (FY) |
1996 – 1997
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| Keywords | Reverse Engineering / 3D Measured Data / Segmentation / Characteristic Lines / Smoothing / Surface Fitting / Arclength Parameter / Clothoidal Splines |
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| Research Abstract |
The method is proposed for modeling aesthetic product-shape by extracting characteristic lines from its three-dimensionally measured data. Measured data are divided into some segments based on rough information of characteristic parts and implicit specifications in the data and surfaces are least-square-fitted to each segment. Then, surfaces of increased degree polynomial are fitted to data within decreased distance from the previous surfaces. This stepwise surface-fitting process extracts characteristic lines precisely as intersection lines of pairs of surfaces.
After extracting characteristic lines, we have to express a surface without any distortion of highlight lines and reflected images. Therefore, we developed the following curve design methods that specify and control shape of curves by intrinsic geometric quantities familiar with designers, such as arclength, tangent and curvature. We first derived an interpolating clothoidal spline curve, and second, extended it to an interpolant with quadratic B2-spline curvature function of arclength, and then developed a composite curve of these. Finally, we introduced an interpolant composed of logarithmic spirals, whose radius of curvature is piecewise linear with respect to arclength. In these curves, we are able to design an aesthetic smooth curve directly from desired profile of (radius of) curvature by well-known Bezier techniques not in curve space but in curvature space.
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[Publications] Abe.M., Shimizu, S., HIrakawa, H., Kono, H., Fukushima, M., Kuroda, M., Kato, T., Furukawa, F. and Ito, M.: "A CAD/CAM System for Under Knee Prosthesis Sockets - Reconstruction of 3-D Shapes from Measured Point Data" Proc.11th International Conference on Engineering Design'97. 1. 121-126 (1997)
Description
「研究成果報告書概要(和文)」より
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[Publications] Kuroda, M., Higashi, M., Saitoh, T., Watanabe, Y. and Kuragano, T.: "Interpolating Curve with B-spぃね Curvature Function" Mathematical Methods for Curves and Surfaces II,M.Daehlen,T.Lyche,L.Schumaker(eds),Vandelbilt University Press. (Apri.). 303-310 (1998)
Description
「研究成果報告書概要(和文)」より
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[Publications] Abe, M., Shimizu, S., Hirakawa, H., Kono, H., Fukushima, M., Kuroda, M., Kato, T., Furukawa, F.and Ito, M.: "A CAD/CAM System for Under Knee Prosthesis Sockets-Reconstruction of 3-D Shapes from Measured Point Data" Proc.11th International Conference on Engineering Design '97 (Publisher Tampere University of Technology), Tampere, August 19-21. Vol.1. 121-126 (1997)
Description
「研究成果報告書概要(欧文)」より
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[Publications] Kuroda, M., Higashi, M., Saitoh, T., Watanabe, Y.and Kuragano, T.: "Interpolating Curve with B-spline Curvature Function" Mathematical Methods for Curves and Surfaces II,M.Daehlen, T.Lyche, L.Schumaker (eds.), Vandelbilt University Press, Nashville, TN.303-310 (1998)
Description
「研究成果報告書概要(欧文)」より
