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

点击翻译按钮获取中文摘要

(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