The automatic C2 continuous quintic Hermite interpolating spline with parameters
LI Juncheng1, XIE Wei2
1. Department of Mathematics, Hunan University of Humanities, Science and Technology, Loudi 417000, Hunan Province, China;
2. College of Science, Guilin University of Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China
Abstract：In order to solve the problem that the cubic or quartic Hermite-type interpolating splines with shape parameters can not automatically satisfy C2 continuity, a new class of quintic Hermite interpolating spline with shape parameters is presented. The proposed spline not only has the same characteristics as the Hermite-type interpolating spline with shape parameters, but also automatically satisfies C2 continuity and can be controlled by the shape parameters when the interpolation conditions remain unchanged. Furthermore, a method for determining the optimal value of the shape parameters is given, which can make the quintic Hermite interpolating spline curve with the optimal interpolation effects.
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2016, Vol. 43 
