文章基本信息

标题：On the Variety of Planar Spirals and Their Applications in Computer Aided Design
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作者：Rushan Ziatdinov ; Kenjiro T. Miura
期刊名称：European Researcher
印刷版ISSN：2219-8229
电子版ISSN：2224-0136
出版年度：2012
卷号：27
期号：8-2
出版社：European Researcher
摘要：In this paper we discuss the variety of planar spiral segments and their applications in objects in both the real and artificial world. The discussed curves with monotonic curvature function are well-known in geometric modelling and computer aided geometric design as fair curves, and they are very significant in aesthetic shape modelling. Fair curve segments are used for two-point G1 and G2 Hermite interpolation, as well as for generating aesthetic splines
关键词：spiral; pseudospiral; log-aesthetic curve; LAC; GLAC; superspiral; multispiral; fair curve; monotone curvature; high-quality curve; aesthetic design; gamma function; transition curve; fillet modelling; spline; computer aided geometric design.