conicfit (version 1.0.4)

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

Description

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

Usage

Residuals.parabola(XY,ParG)

Arguments

XY

array of sample data

ParG

vector 4x1 of the parabola parameters (Vertex(1:2), p, Angle)

Value

list(RSS, XYproj)

list with the Residual Sum of Squares and the array of coordinates of projections

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.parabola(XY,ParG)