Research of Piecewise Cubic Curve-fitting Method Based on Least-square Principle
Sha Ji-chang
Abstract
Sha Ji-chang
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.
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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