Quadratic Rational Trigonometric Spline Curves with Shape Controlling

Abstract

Abstract: A new quadratic rational trigonometric spline curve with a shape parameter was proposed. The value control and the inflection-point control of the interpolation scheme were discussed in theory. And the optimal methods for calculating the desired inflection-points was proposed, by using optimization theory. Numerical experiments show the interpolation spline and the optimization method can be used in modeling design.

Key words: rational trigonometric spline, value control, inflection-point control, optimization

CLC Number:

TP391.9

Liu Xinru, Wei Manman, Liu Shengjun, Yang Dangfu. Quadratic Rational Trigonometric Spline Curves with Shape Controlling[J]. Journal of System Simulation, 2016, 28(10): 2400-2406.

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