JmatrixLMA

Calculate the Jacobian matrix with the original dataset and the
 current version of fitted data. This is not intended for 
 external use. It is called from <code>fitConic</code>

Fit data to an ellipse, hyperbola, or parabola. Bootstrapping is available when needed. The conic curve can be rotated through an arbitrary angle and the fit will still succeed. Helper functions are provided to convert generator coefficients from one style to another, generate test data sets, rotate conic section parameters, and so on. References include Nikolai Chernov (2014) "Fitting ellipses, circles, and lines by least squares" <https://people.cas.uab.edu/~mosya/cl/>; A. W. Fitzgibbon, M. Pilu, R. B. Fisher (1999) "Direct Least Squares Fitting of Ellipses" IEEE Trans. PAMI, Vol. 21, pages 476-48; N. Chernov, Q. Huang, and H. Ma (2014) "Fitting quadratic curves to data points", British Journal of Mathematics & Computer Science, 4, 33-60; N. Chernov and H. Ma (2011) "Least squares fitting of quadratic curves and surfaces", Computer Vision, Editor S. R. Yoshida, Nova Science Publishers, pp. 285-302.

Carl Witthoft

fitConic

Fit Data to Any Conic Section

Jose Gama

Nikolai Chernov

JmatrixLMA function

<dl> <dt>XY</dt>
<dd>The original input dataset
</dd> <dt>parA</dt>
<dd>The current set of ABCDEF quadratic equation coefficients.
</dd> <dt>XYproj</dt>
<dd>The current calculated dataset based on the latest iteration
 of the coefficient set. 
</dd></dl>

Arguments

Carl Witthoft &lt;carl@witthoft.com&gt;

Author

Calculate a Jacobian Matrix
 — JmatrixLMA

<dl>

 <dt>XY</dt>
<dd>The original input dataset
</dd>

 <dt>parA</dt>
<dd>The current set of ABCDEF quadratic equation coefficients.
</dd>

 <dt>XYproj</dt>
<dd>The current calculated dataset based on the latest iteration
 of the coefficient set. 
</dd>

</dl>

JmatrixLMA: Calculate a Jacobian Matrix

Description

Usage

Value

Arguments

Author

References