Fit Data Points to a Sine Curve


I am trying to use the C# Math.Net Numerics curve fitting capabilities to fit data
points to a sine curve.

The sine curve should be of the form:

f(x) = a * sin(b * (x+c)) + d

The amplitude of the sine wave (a) is what I am actually trying to determine.

I think my case is very simple. I have nine values for “f(x)” (aka “yValues”),
and my “xValues” are simply 0, 1, 2, 3, 4…

I followed an example I found on stack overflow to come up with the following code, but I am not getting a correct result for the amplitude value. I’m pretty sure I need to tell (somehow) the Math.Net curve fitter that I am trying to fit to a sine wave rather than some other kind of curve, but I am not sure how to do this.

Does anyone have some insight into what I am doing wrong?



C# Code:

// Return the amplitude value from the fitted sine curve.
private double GetCurveFitAmplitude(List yValues)
List xValues = new List(); // List of 0, 1, 2, 3…

for (int i = 0; i < yValues.Count; ++i)
    // The x-values of the sine curve simply increment from zero.

var X = DenseMatrix.OfColumns(new[]
    // Weighted factor - use a "neutral" 1.0 for every array entry.
    new DenseVector(Enumerable.Repeat(1.0, yValues.Count).ToArray()),

    // X-values 0.0 through 8.0, incrementing by 1.
    new DenseVector(xValues.ToArray())

// Y values are from the passed list.
var yData = new DenseVector(yValues.ToArray());

// Fit the curve.
var p = X.QR().Solve(yData);

// The first member of the return array is the sine wave amplitude.
return p[0];


Look two questions down (about sin(x)*sin(x)) for a hint about using CurveFunc to fit an arbitrary function specified by the user.