2007 Fiscal Year Final Research Report Summary
Extensions of General Equations of Aesthetic Curves to Space curves and Suites and Their Applications for Styling Design
| Project/Area Number |
18560130
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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 |
Design engineering/Machine functional elements/Tribology
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| Research Institution | Shizuoka University |
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Principal Investigator |
MIURA Kenjiro Shizuoka University, Graduate School of Science and Technology, Professor (50254066)
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| Co-Investigator(Kenkyū-buntansha) |
YAMASHITA Atsushi Shizuoka University, Dep. of Mech. Engi, Associate Professor (30334957)
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| Project Period (FY) |
2006 – 2007
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| Keywords | log-aesthetic curve / inflection point / G2 continuity / logarithmic curvature graph / compound-rhythm curve / logaritbmic spiral / clothoid curve / Nielsen's spiral |
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| Research Abstract |
The curve is the most basic design element to determine shapes and silhouettes of industrial products and works for shape designers and it is inevitable fir them to make it aesthetic and attractive to improve the total quality of the shape design. If we can find equations of the aesthetic curves, it is expected that the quality of the curve design improves drastically because we can use them as standards to generate, evaluate, and deform the curves The authors have proposed the general equations of aesthetic curves as such a standard. The log-aesthetic curves include the logarithmic (equiangular) spiral, clothoid, and involute curves. Although most of them are expressed only by an integral thorn of the tangent vector, it is possible to interactively generate and deform them and they are expected to be utilized for practical use of industrial and graphical design However, their input method proposed so fir by use of three so-called control points can generate only an aesthetic curve segment with monotonic curvature variation and can not create a curve with the curvature-extremal point or the inflection point Hence at first we propose a technique to input a log-aesthetic curve segment with an inflection point at its end. Then we propose a method to generate a log-aesthetic curve with G2 continuity from a sequence of 2D points input with, for example, a liquid crystal pen tablet.
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[Presentation] (Frank) Cheng, 3D extension of aesthetic plane curve and its B-Spline approximation2007
Author(s)
Kenjiro, T., Miura, Makoto, Fujisawa, Kazuya, G., Kobayashi, Fuhua
Organizer
Proc. the 2007 International CAD Conference and Exhibition
Place of Presentation
Honolulu, Hawaii
Year and Date
20070625-29
Description
「研究成果報告書概要(欧文)」より
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[Presentation] Input of Log-aesthetic Curves With a Pen Tablet2007
Author(s)
Kenjiro, T., Miura, Mariko, Yagi, Yohei, Kawata, Shin, ichi, Agari, Makoto, Fujisawa, Junji, Sone
Organizer
Humans and Computers 2007
Place of Presentation
Chofu, Tokyo (Japan)
Year and Date
20070000
Description
「研究成果報告書概要(欧文)」より
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[Presentation] Feasibility Study of Interactive Display With Bubbles2007
Author(s)
Junji, Sone, Satoshi, Uchida, Yoshimasa, Tokuyama, Kouichi, Konno, Kenjiro, T., Miura
Organizer
Humans and Computers 2007
Place of Presentation
Chofu, Tokyo (Japan)
Year and Date
20070000
Description
「研究成果報告書概要(欧文)」より
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[Presentation] The Aesthetic Space Curve2006
Author(s)
Kenjiro, T., Miura, Makoto, Fujisawa, Junji, Sone, Kazuya, G. Kobayashi
Organizer
Humans and Computers 2006
Place of Presentation
Aizu-Wakamatsu (Japan)
Year and Date
20060000
Description
「研究成果報告書概要(欧文)」より
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