Generating method of monotonic-curvature variation curve for high-quality shape in aesthetic design

In this study, a theoretical investigation on the Class A condition for planar curves is conducted. Here, the term "Class A" denotes high-quality curves and surfaces that have mainly been used for industrial products like automobiles. Although high-quality shapes play an important role in aesthetic design, its effective generating method have not been developed. Fundamental study on Class A curves have progressed recently; however, its condition is not sufficient and how to control this curve has not been presented sufficiently. Therefore, our method presented in this paper proposes an additional condition for creating Class A Bézier curve to produce high-quality shapes and also proposes a curve generating method and system to prove the usefulness of this method.