Slope Constrained Quadratic Spline Hermite Interpolation

Jian Ling Qu; Wen Zhu Sun; Jian Bin Liu; Feng Gao; Yu Ping Zhou

doi:10.4028/www.scientific.net/AMM.411-414.1404

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 411-414Slope Constrained Quadratic Spline Hermite...

Slope Constrained Quadratic Spline Hermite Interpolation

Abstract:

A novel quadratic spline Hermite interpolation method for constraining the slope of interpolation curve in a user-defined interval is proposed. The method solves the interpolation problem by dividing point sequence into a series of two adjacent points. By selecting the slopes of these two points skillfully, the slope of interpolated curve can be constrained easily. Then, the entire interpolated curve can be obtained by linking all of these two-point interpolated curves. A series of experiments are carried out to test the performance of these methods. Experimental results show that this method reach expected results perfectly.

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Periodical:

Applied Mechanics and Materials (Volumes 411-414)

Pages:

1404-1408

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.411-414.1404

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Online since:

September 2013

Authors:

Jian Ling Qu, Wen Zhu Sun, Jian Bin Liu, Feng Gao, Yu Ping Zhou

Keywords:

Hermite Interpolation, Monotonicity Preserving Interpolation, Quadratic Spline, Slope Constrained

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