2008•Gongcheng shuxue xuebaoRequires access

Region Control of a Class of Weighted Rational Cubic Splines

Fulai Chen

Abstract

Constraining interpolation curves to be in the given region is an important problem in curve design. A kind of weighted rational cubic spline interpolation is constructed by using the rational cubic spline with quadratic polynomial denominators and the rational cubic spline based on function values.Suffcient conditions for the interpolating curves to be above, below or between the given broken lines or piecewise quadratic curves, and suffcient and necessary conditions for the interpolating curves to be above, below or between the given broken lines are derived, respectively.

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

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

Key concepts: Monotone cubic interpolation, Spline interpolation, Mathematics, Piecewise, Cubic function, Quadratic equation, Cubic form, Interpolation (computer graphics)