Abstract
In curve design, the relation between conventional shape-information and the whole characteristic of shape is not clear. Then it is important to grasp and control the whole characteristic of shape, and macroscopic shape-information is desired as a new design index. In past study, we found that curvature entropy represents the whole characteristic in a curve profile at the product level. However, there were some cases that curvature entropy defined without continuity of curve doesn't adapt cognitive process. Therefore, we proposed quadratic curvature entropy by modeling continuity of curve with Markov processes. As a result, quadratic curvature entropy represents the whole characteristic of shape in the simple curve profile and the automobile side view. Thus, it is indicated that quadratic curvature entropy is a useful design index for controlling the whole characteristic of shape and the shape-generation system with it is to be realized.
