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Determining Knots by Minimizing the Second Derivative

  • Fan ZhangEmail author
  • Xueying Qin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8971)

Abstract

In constructing a parametric curve interpolating a set of data points, one of the key problems is to specify a parameter value (node) for each data point. A new method of choosing knots is presented. For each data points, the new method constructs a quadratic polynomial curve by three adjacent data points. The node parameters of the quadratic curve are determined by minimizing the second derivative of the quadratic curve. And the knot interval between two adjacent data points is determined by two quadratic curves associated with the two adjacent data points. Experiments showed that the curves constructed using the knots by the new method generally have better interpolation precision.

Keywords

Polynomial curve Determining knots Second derivative Minimizing 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.School of Computer Science and TechnologyShandong UniversityJinanChina

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