期刊名称：Journal of King Saud University @?C Computer and Information Sciences
印刷版ISSN：1319-1578
出版年度：2015
卷号：27
期号：2
页码：140-146
DOI：10.1016/j.jksuci.2014.03.016
出版社：Elsevier
摘要：In this paper we derive admissible curvature continuous areas for monotonically increasing curvature continuous smooth curve by using a single Pythagorean hodograph (PH) quintic polynomial of G^2 contact matching Hermite end conditions. Curves with monotonically increasing or decreasing curvatures are considered highly smooth (fair) and are very useful in geometric design. Making the design by using smooth curves is a fascinating problem of computing with significant physical and esthetic applications especially in high speed transportation and robotics. First we derive sufficient conditions for curvature continuity on a single PH quintic polynomial with given Hermite end conditions then we find the admissible area for the smooth curve with respect to the curvatures at its endpoints.
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