A Geometrical Analysis of Aesthetic Free-form Surface and Its Application to Surface Design
美学自由曲面的几何分析及其在曲面设计中的应用
基本信息
- 批准号:05680319
- 负责人:
- 金额:$ 1.28万
- 依托单位:
- 依托单位国家:日本
- 项目类别:Grant-in-Aid for General Scientific Research (C)
- 财政年份:1993
- 资助国家:日本
- 起止时间:1993 至 1994
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
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
本研究的目的是分析和可视化美学表面的特性,并构建满足设计者意图的形状。为了明确自由曲面的性质,引入了自由曲面的曲面边概念。曲面边缘与多面体边缘具有相似的性质,由等高线的高度、距离、梯度、主曲率等方程导出的微分方程来定义。表面边缘分为固有表面边缘和环境相关表面边缘两种类型。曲面的固有边是由曲面的曲率定义的,它是曲面的固有特征。依赖于环境的表面边缘是由依赖于视点和光线位置的表面上的值来定义的。这种表面边缘直接影响到表面的外观。这一研究结果为根据造型设计师的感觉产生美学造型提供了基础技术。为了满足设计者构建汽车车身等美学形状的意图,我们提出了一种曲线构建方法,作为自由形状设计的第一步。在表面设计过程中,设计师根据自己的感觉来确定形状,主要关注阴影线、高光线和周围场景的反射图像。由于反射和遮阳受曲面曲率变化的影响,曲率变化是重要的因素,应按设计者的要求进行分布。通过之前的实验,我们发现设计者希望曲线的曲率图是单调的,且拐点少于两个。为了合成这样的曲线,我们提出了一种基于其演化曲线的曲线生成方法。从边界条件出发,将渐开线表示为Bezier曲线,得到渐开线,然后用G^2NURBS拟合为目标曲线。本文还讨论了一种曲线修正方法,在曲面构造中的应用,并对该方法进行了评价。少
项目成果
期刊论文数量(22)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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)
Tsuyoshi Saito:“包括自由曲面在内的三维几何模型的高阶处理研究”东京电机大学研究所年报 13. 191-198 (1994)。
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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)
Tsuyoshi Saito:“包括自由曲面在内的三维几何模型的高阶处理研究”东京电机大学研究所年报 13. 191-198 (1994)。
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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)
T., Saitoh:“美学自由曲面的几何分析及其在曲面设计中的应用”年度报告 Res.Inst.for Tech.Tokyo Denki Univ.13 (1994)
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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)
Masatake Higashi:“基于渐进线的曲率变化的平滑曲面的生成”日本精密工程学会杂志 59. 141-146 (1993)。
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穂坂 衛: "統合化CAD/CAMシステム" (株)オーム社, 560 (1994)
保坂守:“集成 CAD/CAM 系统”Ohmsha Co., Ltd.,560 (1994)
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62870076 - 财政年份:1987
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$ 1.28万 - 项目类别:
Grant-in-Aid for Developmental Scientific Research
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