UNIPHIZ Lab software

Software FindGraph Closed curves

Parametric curve fitting

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Find the closed curve
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FindGraph uses parametric equations X(u), Y(u) to fit data with closed curves.

  X(U) = X0 + A1*sin(U)+...+An*cos(n*U)
  Y(U) = Y0 + B1*sin(U)+...+Dn*cos(n*U).

Parametric curve Center point X0,Y0 and the parameters Aj, Bj, Cj, Dj are estimated by the method of least-squares to minimize the difference between the model and data.

If the number of harmonics N = 1, we find ellipse.

1 harmonic 2 harmonics 4 harmonics

The B-spline estimation options include a pure interpolation and a least squares curve approximation. The derivatives are available. b-spline

Read more about:

Digitizing Digitizing
Graphing Graphing
Curve fitting Curve fitting
Regression Linear regression
Best-fit Best-fit equation
Library Library
Analysis Analysis
Tools Tools
Filters Filters
Convolution Convolution
Extract of periodic signals Periodic signals
Procrustes analysis Procrustes analysis
Multi-peak fitting Multi-peak fitting
SSA forecasting SSA forecasting




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