AtoG: Conversion of algebraic parameters to geometric parameters

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

Description

AtoG converts algebraic parameters (A, B, C, D, E, F) to geometric parameters (Center(1:2), Axes(1:2), Angle).

Usage

AtoG(ParA)

Arguments

ParA	vector or array with geometric parameters (A, B, C, D, E, F)

Format

code is: -1 - degenerate cases 0 - imaginary ellipse 4 - imaginary parell lines 1 - ellipse 2 - hyperbola 3 - parabola

Value

list(ParG, exitCode

list with algebraic parameters (Center(1:2), Axes(1:2), Angle) and exit code

Author(s)

Jose Gama

Source

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

Nikolai Chernov, 2010 Circular and linear regression: Fitting circles and lines by least squares Chapman & Hall/CRC, Monographs on Statistics and Applied Probability, Volume 117

References

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

Nikolai Chernov, 2010 Circular and linear regression: Fitting circles and lines by least squares Chapman & Hall/CRC, Monographs on Statistics and Applied Probability, Volume 117

Examples

AtoG(c(0.0551,-0.0908,0.1588,0.0489,-0.9669,0.1620))

Example output

Loading required package: pracma
Loading required package: geigen
$ParG
          [,1]
[1,] 2.7009607
[2,] 3.8165845
[3,] 6.5206056
[4,] 3.0323167
[5,] 0.3595856

$exitCode
[1] 1

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