Question

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This paper aims to figure out difference of our impressions on curves that are used in form designs, and also contribute industrial designers by implementing a smart computer aided design (CAD) system that have as same feeling on curves as human designers have. The proposing K-vector is a mathematical form of classifying such curves by designers’ impressions.

Introduction

There always have been patterns where there have been designs. Figure 1 shows both very famous, aesthetically beautiful, but perfectly different two statues that are known as treasures of the world. The statue of David, for example, gives us sharp, or even likely, European impression while the statue of Basara gives us centripetal,oriental impression.

There also have been patterns in industrial designs. Toyota and Ferrari, as shown in Figure 2, are good examples that give us also completely different impression by their exterior designs. From artistic point of view, Toyota Celica is rather similar to Basara than Ferrari F355, while Ferrari F355 is rather similar to David.

The aim of this research is to figure out some mathematical difference between two designs like David and Basara, which give different impressions to us. Some of artists and designers have traditionally classified their drawing curves into three groups by their own impressions on such curves. The groups are convergent, neutral, and divergent. E.g., David and Ferrari F355 are composed mainly by divergent curves, while Basara and Toyota Celica are composed mainly by convergent curves.

Difference of designer’s impressions (or feelings) on different curves or curved surfaces hasbeen considered beyond mathematics so far. The authors propose a novel mathematical model named K-vector to distinguish traditionally well-known three groups of curves and curved surfaces.

The goal of the proposed research is to contribute industrial designers by providing a smart computer aided design (CAD) system that can feel impressions on curved surfaces as human designers can. The K-vector is a strong building block of the proposed smart CAD systems.
该文章的网址在http://designhistoryforum.org/dd/papers/vol02/no4/02_4_1.pdf
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Answer 1

本文旨在计算出的差异，我们的印象就曲线被用来在表格的设计，也有助于工业设计师通过实施一个智能电脑计算机辅助设计（ CAD ）系统，作为同样的感觉就曲线作为人的设计师。提出建议的K -向量是一种数学的形式分类，例如曲线由设计师展示。
导言
始终已经有模式已设计。图1显示了两个非常有名，美观漂亮，但完全不同的两个雕像是被称为国宝的世界。雕像大卫，举例来说，给了我们锐利，或什至可能，欧洲的印象，而雕像basara ，使我们心，东方的印象。
也有模式已在工业品外观设计。丰田和法拉利，如图2所示，是很好的例子，让我们也完全不同的印象，他们的外观设计。从艺术的角度来看，丰田赛利卡是相当类似basara比法拉利f355 ，而法拉利f355是相当类似的国宝。
的目的，这项研究是为了弄清楚一些数学的区别两种设计一样，大卫和basara ，给予不同的展示给我们。一些艺术家和设计师的传统分类，他们的绘画曲线分为3组，由他们自己的展示，这种曲线。该团体的收敛性，中立，和分歧。例如，大卫和法拉利f355组成，主要是由不同的曲线，而basara和丰田赛利卡组成，主要由收敛曲线。
不同的设计师的展示（或感情）对不同的曲线或曲面hasbeen考虑以后的数学至今。作者提出了一种新型的数学模型，命名的K -矢量区分传统的著名的三组曲线和曲面。

目标所提出的研究作出贡献的工业设计师提供了一个智能电脑计算机辅助设计（ CAD ）系统，该系统可觉得展示，曲面作为人的设计师可以。的K -矢量是一个强有力的建筑砌块所建议的智能CAD系统。