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curvature entropy for curved profile generation为弯曲曲率熵概要文件生成
Entropy 2012, 14, 533-558; doi:10.3390/ OPEN ACCESS entropy ISSN 1099-4300 /journal/entropy Article Curvature Entropy for Curved Profile Generation Yoshiki Ujiie, Takeo Kato, Koichiro Sato * and Yoshiyuki Matsuoka Department of Mechanical Engineering, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, 223-8522, Japan; E-Mails: ujiie@mech.keio.ac.jp (Y.U.); kato@mech.keio.ac.jp (T.K.); matsuoka@mech.keio.ac.jp (Y.M.) * Author to whom correspondence should be addressed; E-Mail: koichiro_sato@a3.keio.jp. Received: 20 December 2011; in revised form: 28 February 2012 / Accepted: 6 March 2012 / Published: 9 March 2012 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
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