conicfit (version 1.0.4)

Residuals.ellipse: Projecting a given set of points onto an ellipse

Description

Residuals.ellipse projects a given set of points onto an ellipse and computing the distances from the points to the ellipse

Usage

Residuals.ellipse(XY,ParG)

Arguments

XY

array of sample data

ParG

vector 5x1 of the ellipse parameters (Center(1:2), Axes(1:2), Angle)

Value

list(Res,J)

list with the Residual Sum of Squares and the Jacobian matrix

Source

Nikolai Chernov, 2014 Fitting ellipses, circles, and lines by least squares http://people.cas.uab.edu/~mosya/cl/ N. Chernov, Q. Huang, and H. Ma, 2014 Fitting quadratic curves to data points British Journal of Mathematics & Computer Science, 4, 33-60.

References

Nikolai Chernov, 2014 Fitting ellipses, circles, and lines by least squares http://people.cas.uab.edu/~mosya/cl/

N. Chernov, Q. Huang, and H. Ma, 2014 Fitting quadratic curves to data points British Journal of Mathematics & Computer Science, 4, 33-60.

Examples

XY <- matrix(c(1,7,2,6,5,8,7,7,9,5,3,7,6,2,8,4),8,2,byrow=TRUE)
ParG <- matrix(c(0,0,2,1,0),ncol=1)
Residuals.ellipse(XY,ParG)