Abstract:In a curved surface design, the overall shape features that emerge from combinations of shape elements are important. However, controlling the features of the overall shape in curved profiles is difficult using conventional microscopic shape information such as dimension. Herein two types of macroscopic shape information, curvature entropy and quadrature curvature entropy, quantitatively represent the features of the overall shape. The curvature entropy is calculated by the curvature distribution, and represents the complexity of a shape (one of the overall shape features). The quadrature curvature entropy is an improvement of the curvature entropy by introducing a Markov process to evaluate the continuity of a curvature and to approximate human cognition of the shape. Additionally, a shape generation method using a genetic algorithm as a calculator and the entropy as a shape generation index is presented. Finally, the applicability of the proposed method is demonstrated using the side view of an automobile as a design example.

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In curve design ， controlling the macroscopic shape − feature that emerges from the combinations of shape elements is impor匚 ant because human beings tend to perceive overa 正 星 shape − feamre macroscopically ． However ， controH 孟 ng the macroscopic shape − feature is difficult using conventional microscopic shape − information such as dimension and curvature ． Therefbre ， in curve design ， a design − support system that uses method for representat 正 on of macroscopic shape − feature is desired ． In the present study ， the method for representation of macroscopic shape −feature " complexity11 using total absolute curvature was proposed ． Relationship between total absolute curvature of diverse curv 巳d profiles ( basic curved profiles