文章基本信息

标题：Shape analysis of planar trigonometric Bezier curves with two shape parameters
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作者：Rongjun Wu ; Guohua Peng
期刊名称：International Journal of Computer Science Issues
印刷版ISSN：1694-0784
电子版ISSN：1694-0814
出版年度：2013
卷号：10
期号：2
出版社：IJCSI Press
摘要：The shape features of planar trigonometric Bezier curves with two shape parameters are analyzed. The necessary and sufficient conditions are derived for these curves to have one or two inflection points, a loop or a cusp, or be locally or globally convex. All conditions are completely characterized by the relative position of the control polygons side vectors. Furthermore the influences of shape parameters on the conditions and the ability for adjusting the shape of the curve are discussed.
关键词：Trigonometric Bezier curve; Loop; Cusp; Inflection point; Local convexity; Global convexity