2007Science Technology and EngineeringRequires access

Research of Piecewise Cubic Curve-fitting Method Based on Least-square Principle

Sha Ji-chang

Open publisher page 7 citations

Abstract

Polynomial curve fitting is a usually used data fitting method.When there are too many data for fitting,only just one polynomial curve function cannot acquire good fitting effect.Aiming at the deficiency of traditional piecewise curve-fitting method which contains many experiential elements in the process of separating data into pieces,a new method is put forward which is based on least-square principle.Furthermore,a Cubic Curve-fitting equation deduces and set up.In the end,through a group of actual data,the effect of this new method is validated.

About this research paper

What this paper is about

Polynomial curve fitting is a usually used data fitting method.When there are too many data for fitting,only just one polynomial curve function cannot acquire good fitting effect.Aiming at the deficiency of traditional piecewise curve-fitting method which contains many experiential elements in the process of separating data into pieces,a new method is put forward which is based on least-square principle.Furthermore,a Cubic Curve-fitting equation deduces and set up.In the end,through a group of actual data,the effect of this new method is validated.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Method / approach

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Available abstract

Polynomial curve fitting is a usually used data fitting method.When there are too many data for fitting,only just one polynomial curve function cannot acquire good fitting effect.Aiming at the deficiency of traditional piecewise curve-fitting method which contains many experiential elements in the process of separating data into pieces,a new method is put forward which is based on least-square principle.Furthermore,a Cubic Curve-fitting equation deduces and set up.In the end,through a group of actual data,the effect of this new method is validated.

Key concepts: Curve fitting, Piecewise, Cubic function, Polynomial and rational function modeling, Function (biology), Square (algebra), Mathematics, Polynomial

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