2011•Journal of Hefei University of TechnologyRequires access

Piecewise fairing and fitting of H-Bézier curves by partial interpolations

Jieqing Tan

Abstract

This paper presents a new method of fairing and fitting based on partial interpolations,which can completely describe the distribution of the given data by piecewise fitting.An improved fairing method is also put forward.Once the fairing constraint equations are determined case by case,the fairing energy can reach the minimum level through adjusting the control points and choosing the suitable control parameters to get an ideal approximation of the given points.Numerical examples are given to show the effectiveness of the presented methods.

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: Piecewise, Constraint (computer-aided design), Mathematics, Bézier curve, Curve fitting, Interpolation (computer graphics), Mathematical optimization, Ideal (ethics)