2010Computer Engineering and Applications JournalRequires access

Rational cubic trigonometric Hermite interpolation spline curves and applications

Deng Siqing

Open publisher page 1 citations

Abstract

A class of rational cubic trigonometric spline curves is presented,which shares the same properties of normal cubic Hermite interpolation spline and contains trigonometric polynomials and shape parameters.Without solving system of equations,the shape of interpolation curves can be adjusted and C2 continuous by taking different values of parameters.Moreover, by selecting proper control points and shape parameters,the spline curves can represent transcendental curves exactly,such as tetracuspid and quadrifolium.

About this research paper

What this paper is about

A class of rational cubic trigonometric spline curves is presented,which shares the same properties of normal cubic Hermite interpolation spline and contains trigonometric polynomials and shape parameters.Without solving system of equations,the shape of interpolation curves can be adjusted and C2 continuous by taking different values of parameters.Moreover, by selecting proper control points and shape parameters,the spline curves can represent transcendental curves exactly,such as tetracuspid and quadrifolium.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

A class of rational cubic trigonometric spline curves is presented,which shares the same properties of normal cubic Hermite interpolation spline and contains trigonometric polynomials and shape parameters.Without solving system of equations,the shape of interpolation curves can be adjusted and C2 continuous by taking different values of parameters.Moreover, by selecting proper control points and shape parameters,the spline curves can represent transcendental curves exactly,such as tetracuspid and quadrifolium.

Key concepts: Cubic Hermite spline, Hermite spline, Monotone cubic interpolation, Mathematics, Smoothing spline, Spline interpolation, Trigonometry, Hermite interpolation

Related papers

Back to paper searchBrowse research topicsOriginal source
Rational cubic trigonometric Hermite interpolation spline curves and applications — Research Paper | ScholarLens