Interpolation to data points in plane with cubic polynomial precision

Authors:
Huijian Han;Hui Liu;Xiuhua Ji
Affiliations:
School of Computer Science and Technology, Shandong Economics University, Jinan, China;School of Computer Science and Technology, Shandong Economics University, Jinan, China;School of Computer Science and Technology, Shandong Economics University, Jinan, China
Venue:
Edutainment'07 Proceedings of the 2nd international conference on Technologies for e-learning and digital entertainment
Year:
2007

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Abstract

This paper presents a new method for constructing parametric curve to interpolate a set of data points in plane. The constructed parametric curve has the precision of cubic polynomial function in the sense that if the given data points are taken from a cubic polynomial, then the constructed curve reproduces the cubic polynomial exactly. The comparisons of the precision of the new method with other ones are included.