Piecewise trigonometric Hermite interpolation

Han, Xuli

doi:10.1016/j.amc.2015.06.125

Cited by 4 publications

(2 citation statements)

References 24 publications

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“…However, trigonometric functions have also received very much attention within geometric modeling. Such as the trigonometric Be´zier curves, [1][2][3][4] the trigonometric B-spline curves, [5][6][7] the trigonometric Hermite curves, 8,9 the trigonometric rational curves, 10,11 etc. The curves constructed in trigonometric function space have been applied in signal analysis, 12 kitchen product design, 13 robot path planning, 14 and other engineering problems.…”

Section: Introductionmentioning

confidence: 99%

A quartic trigonometric interpolatory spline with local free parameters

Liu

2023

Advances in Mechanical Engineering

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The construction of trigonometric interpolatory splines plays a very important role in geometric modeling. This paper presents a quartic trigonometric interpolatory spline with local free parameters. The new spline not only automatically interpolates the given points and achieves C2 continuity, but also owns shape adjustability when the points remain fixed. Some examples show that the shape of the new spline can easily realize local and global adjustment by changing the free parameters.

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Section: Introductionmentioning

confidence: 99%

A quartic trigonometric interpolatory spline with local free parameters

Liu

2023

Advances in Mechanical Engineering

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“…These curves can be used in a number of areas, such as three-dimensional (3D)-modeling and camera movements. In [4], Han presented explicit piecewise trigonometric Hermite interpolation methods that are based on the symmetric, nonnegative, and normalized basis of trigonometric polynomials. These trigonometric Hermite interpolants are local and easy to compute.…”

Section: Introductionmentioning

confidence: 99%

Curve and Surface Construction Using Hermite Trigonometric Interpolant

Oumellal

Lamnii

2021

MCA

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In this paper, the constructions of both open and closed trigonometric Hermite interpolation curves while using the derivatives are presented. The combination of tension, continuity, and bias control is used as a very powerful type of interpolation; they are applied to open and closed Hermite interpolation curves. Surface construction utilizing the studied trigonometric Hermite interpolation is explored and several examples obtained by the C1 trigonometric Hermite interpolation surface are given to show the usefulness of this method.

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A Class of Variable Degree Trigonometric Polynomial Spline and Its Applications

Sheng

Zou

2016

E-Learning and Games

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Piecewise trigonometric Hermite interpolation

Cited by 4 publications

References 24 publications

A quartic trigonometric interpolatory spline with local free parameters

A quartic trigonometric interpolatory spline with local free parameters

Curve and Surface Construction Using Hermite Trigonometric Interpolant

A Class of Variable Degree Trigonometric Polynomial Spline and Its Applications

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