Forma, Vol. 12 (No. 1), pp. 55-63, 1997
Original Paper

Study of Quantitative Analysis of the Characteristics of a Curve

Toshinobu Harada

Graduate School of Science and Technology, Chiba University, Yayoi-cho 1-33, Inage-ku, Chiba 263, Japan

(Received March 4, 1996; Accepted August 11, 1996)

Keywords: Characteristics of a Curve, Quantitative Analysis

Abstract. When designers define a curve, the curvature change and the volume are controlled as the 'characteristics' of a curve unconsciously. In this study, the mathematical method for quantifying the 'characteristics' of a curve was developed. The 'characteristics' of parabola, since curve, equiangular spiral, and logarithmic curve were analyzed by this quantitative analysis. As a result, it was confirmed that the 'characteristics' varied with curves. Thus, it is possible to estimate the mathematical expressions of actual curves from the result of this analysis.