Computer-Aided Three-Dimensional Design Based on Design Geometry

本文研究的是基于我们所说的设计几何的三维计算机辅助设计。设计几何是基于人的感性思维的一种新的几何，它考虑了形状的审美，不同于目前的传统几何。传统的CAD系统是基于简单的几何形状(直线、圆、食和二次曲线)和Bernstein-Bezier曲线、多项式样条的。BB曲线被认为很容易画出美学的形状，是工业设计领域最受欢迎的工具，但它在适应人类感性思维方面并不是很好，也不能扩展到3D设计。我们将微分几何应用于造型美学，发现了人类感性思维与造型几何之间的联系，并建立了原型CAD系统。这项研究将我们以前的研究扩展到了3D，并在此基础上带来了一个新的用户(设计师)界面。

This research is on 3-D Computer Aided Design (CAD) based on what we call design geometry. The design geometry is a new kind of geometry based on human's Kansei, that considers taste of shapes, and different from conventional geometry at this point. The conventional CAD system is based on simple geometric shapes (straight line, circle, eclipse, and conic splines) and Bernstein-Bezier curve, polynomial splines. The BB curve is considered easy enough to draw out aesthetic shapes, and the most popular tool in industrial design field, however, it has been not very good at fitting to human's Kansei, nor expanding to 3D design. We applied differential geometry to aesthetic shapes and found relationships between human's Kansei and shape geometry so far, and built up a prototype CAD system. This research expanded the former research of us to 3D and brought a new user (designer) interface on top of it.