Formulations of curves and surfaces for aesthetic design based on variational principle and investigations of their performances

2015 Fiscal Year Final Research Report

• Project/Area Number: 25289021
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Partial Multi-year Fund
• Section: 一般
• Research Field: Design engineering/Machine functional elements/Tribology
• Research Institution: Shizuoka University
• Principal Investigator: Miura Kenjiro T. 静岡大学, 工学部, 教授 (50254066)
• Co-Investigator(Kenkyū-buntansha): MASUDA Hiroshi 電気通信大学, 大学院工学研究科, 教授 (40302757) ; USUKI Shin 静岡大学, 電子工学研究所, 准教授 (60508191) ; FUJISAWA Makoto 筑波大学, 図書館情報メディア研究科, 助教 (90508409)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: 変分原理 / 対数型美的曲線 / 対数型美的曲面 / 対数型美的曲面フィッティング / SPH / ガウス曲率 / 平均曲率 / 意匠デザイン

Outline of Final Research Achievements

The log-aesthetic curve is expected to be utilized for the field of aesthetic design because of its good properties. However,　it is very difficult to extend it to surfaces and the existing formulas have some problems that they cannot use arbitrary　boundary curves. In this research, we propose a new formula for the log-aesthetic surface whose isoparametric curves can be expressed by log-aesthetic curves. Based on variational principle our method can generate surfaces by minimizing the objective function newly proposed in the paper for given arbitrary boundary curves.
The mechanical performance of ｔhe log-aesthetic surface extended from the log-aesthetic curve has not been evaluated yet. In this research we target at the ship hull whose performance is greatly affected by its surface shape. In order to evaluate the mechanical performance of the log-aesthetic surface, we generate geometric models of the ship hull with smooth curvature distribution by use of the log-aesthetic surface.

Free Research Field

形状処理工学