Analysis of the curve and surface structure in natural objects and its application for gemometric modeling

自然物体曲线曲面结构分析及其在几何造型中的应用

• 批准号: 11680390
• 负责人: YOSHIMOTO Fujiichi
• 金额: $ 2.3万
• 依托单位: Wakayama University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11680390/
• 关键词: natural objects; characteristic of curve; curve element; impression of curve; visual language; spline; face structure of polyhedra; reverse engineering; 曲線の構造; 形状モデリング; 形態要素; 曲線・曲面の構造; セグメンテーション; 3次元モデリング

(1) Development of the methods of analysis for curve structureAs a method for analyzing characteristics of curves, we proposed logarithmic distribution diagram of curvature. Using the diagram, aesthetic curves are systematized into five types: convergent type, divergent type, constant-speed type, divergent-convergent type and convergent-divergent type. Moreover, we developed a method of automatic segmentation for curve data using genetic algorithm and spline. This method is applicable for curve data with singularity. Using the methods, we analyzed many characteristics of natural and artificial objects and confirmed the usefulness of our methods.(2) Analysis of the curve structure of natural objects, craftwork objects, and factory objectsWe collected and analyzed many curves of natural objects and craftwork objects, and clarified the characteristics of the curves. Moreover, we compared the characteristics with those of factory objects. As a result, it was clarified that most curves of n … More atural objects and craftwork objects are divergent type or constant-speed type. And it was also clarified that few curves in natural objects are convergent type which is frequently used in factory objects.(3) Development of applicable and peripheral technologiesWe developed an automatic fairing system of curves for reverse engineering. This system is composed with following steps: measurement of surface data and extraction of key line data, curve fitting, dividing the data into curvature monotonic curves, analyzing the characteristics of the curves, replacing the curves into visual languages, and reconstruction of the key lines.We also analyzed the face structures of polyhedra that are needed for creating curves and surfaces in reverse engineering, and we systematized the face structures into visual languages. Moreover, we investigated the resemblance between shape elements of the front mask of cars and shape elements of the face of human beings. As a result, we clarified that there are many similar shape characteristics between them. Less

(1)曲线结构分析方法的发展作为曲线特性分析的一种方法，我们提出了曲率对数分布图。利用该图，将审美曲线系统化为五种类型：收敛型、发散型、等速型、发散收敛型和收敛发散型。提出了一种基于遗传算法和样条函数的曲线数据自动分割方法。该方法适用于具有奇异性的曲线数据。使用这些方法，我们分析了自然和人工物体的许多特征，并证实了我们的方法的实用性。(2)自然对象、网络对象和工厂对象的曲线结构分析我们收集并分析了大量自然对象和网络对象的曲线，并阐明了曲线的特征。此外，我们比较了工厂对象的特性。结果表明，n的大多数曲线 ...更多信息 自然对象和网络对象是发散型或恒速型。同时也阐明了自然对象中的曲线很少是工厂对象中常用的收敛型曲线。(3)开发了一个面向逆向工程的曲线自动光顺系统。该系统由以下步骤组成：曲面数据的测量与关键线数据的提取、曲线拟合、曲率单调曲线的划分、曲线特征分析、曲线的可视化语言化、关键线的重构等，并分析了逆向工程中生成曲线曲面所需的多面体面结构，我们将面部结构系统化为视觉语言。此外，我们还研究了汽车前面罩形状元素与人脸形状元素之间的相似性。因此，我们澄清了它们之间有许多相似的形状特征。少

项目成果

Harada, T., Nakashima, N., Kurihara, Y. and Yoshimoto, F.: "Analysis of curves in natural objects and craftwork objects"Bulletin of Japanese Society of Science of Design. Vol.47,No.3. 29-38 (2000)

Harada, T.、Nakashima, N.、Kurihara, Y. 和 Yoshimoto, F.：“自然物体和工艺品中的曲线分析”日本设计学会通报。

Takahashi, N., Harada, T. and Yoshimoto, F.: "Comparison of Recognition between Faces and Cars' Front View design"Bulletin of Japanese Society of Design. Vol.48,No.5. 27-36 (2002)

Takahashi, N.、Harada, T. 和 Yoshimoto, F.：“人脸识别与汽车前视图设计的比较”日本设计学会通报。

高橋紀哉, 原田利宣, 吉本富士市: "ヒトの顔の認知と自動車フロントマスク認知に関する比較研究"デザイン学研究. 48巻3号. 27-36 (2001)

Noriya Takahashi、Toshinobu Harada、Fujiyoshi Yoshimoto：“人脸识别与汽车前面罩识别的比较研究”设计研究，第 48 卷，第 3.27-36 期（2001 年）。

Harada, T. and Yoshimoto, F.: "Automatic curve fairing system using visual language"Proc. of the 5th Int. Conf. on Information Visualization. 131-138 (2001)

Harada, T. 和 Yoshimoto, F.：“使用视觉语言的自动曲线整流系统”Proc。

原田利宣, 中嶋信幸, 栗原祐介, 吉本富士市: "自然造形物・工芸品における曲線の分析"デザイン学研究. 47巻3号. 29-38 (2000)

Toshinobu Harada、Nobuyuki Nakajima、Yusuke Kurihara、Fujiyoshi Yoshimoto：“自然结构和工艺中的曲线分析”设计研究研究，第 47 卷，第 3. 29-38 期（2000 年）。