Analysis of Esthetic Surfaces and its Application to Surface Generation

美学曲面分析及其在曲面生成中的应用

• 批准号: 07680437
• 负责人: SAITOH Tsuyoshi
• 金额: $ 1.34万
• 依托单位: Tokyo Denki University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07680437/
• 关键词: esthetic Surface; characteristics on surface; generation of surface; curvature profile; surface edge; geometric shape model; topological model; CAD; CAM; 曲線・曲面生成; 幾向モデル; 形状制御; 曲面評価

The purpose of this research is developments of methods for evaluation and generation of high quality esthetic free form surfaces.Results are mainly as follows :(1) Visualization of characteristics of surface : for this, we have introduced a new "surface edge" which is defined by equi-value lines and equi-gradient Iines. Using this curves, we can show characteristic of distribution of the value defined on the surfaces, e.g., reflection, curvature, silhouette and so on.(2) Generation of curve defined by curvature profile : to satisfy designers' intention we have to generate curves whose curvature is varying smoothly. For this, we introduced curvature-profile and defined it by Bezier form of degree 3. Then connection of curves became smoothry.(3) A new topological solid model : we developed solid modelar which has a new face-base data structure. Some robust algorithms are implemented.

本研究的目的是开发评估和生成高质量美观的自由曲面的方法。结果主要如下：（1）表面特征的可视化：为此，我们引入了一种新的“表面边缘”，它是由等值线和等梯度线定义。利用这些曲线，我们可以显示表面上定义的值的分布特征，例如反射、曲率、轮廓等。 (2) 曲率轮廓定义的曲线的生成：为了满足设计者的意图，我们必须生成曲线其曲率平滑变化。为此，我们引入了曲率轮廓并用3次Bezier形式定义它。然后曲线的连接变得平滑。(3)新的拓扑实体模型：我们开发了具有新的基于面的数据结构的实体模型。实现了一些鲁棒的算法。

项目成果

黒田 満: "数理処理システムによるクロソイドスプライン補間曲線" 精密工学会誌. 62・12. 1717-1721 (1996)

Mitsuru Kuroda：“使用数学处理系统的回旋样条插值曲线”日本精密工程学会杂志 62・121（1996）。