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

In conicfit: Algorithms for Fitting Circles, Ellipses and Conics Based on the Work by Prof. Nikolai Chernov

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

Author(s)

Jose Gama

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)

Example output

Loading required package: pracma
Loading required package: geigen
$RSS
[1] 79.1011

$XYproj
           [,1]     [,2]
[1,] -0.9446164 7.339967
[2,] -1.0877019 6.448033
[3,] -0.5623941 9.244795
[4,]  9.4160129 3.936344
[5,]  9.6809916 4.146550
[6,] -0.8758736 7.720868
[7,]  6.2308252 1.639623
[8,]  8.5522775 3.269133

conicfit documentation built on May 2, 2019, 3:11 a.m.