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<tbody><tr><td class="headercell" width="70%" height="20"> Stable Direct Least Squares Ellipse Fit
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<td valign="top" width="89"><b>Author:</b></td>
<td colspan="2"><a href="http://www.mathworks.com/matlabcentral/fileexchange/loadAuthor.do?objectType=author&objectId=27836">Duane Hanselman</a></td>
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<td valign="top" width="89" height="15"><b>Summary:</b></td>
<td colspan="2" height="15">Numerically stable fitting of data to an ellipse, not a hyperbola or parabola.</td>
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<td valign="top" width="125" height="15"><b>MATLAB Release:</b></td>
<td colspan="2" valign="bottom" height="15">R14SP1</td>
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<td valign="top" width="135"><b>Description:</b></td>
<td class="lnwrp" width="456">
ELLIPSEFIT Stable Direct Least Squares Ellipse Fit to Data.<br>
<br>
[Xc,Yc,A,B,Phi,P]=ELLIPSEFIT(X,Y) finds the least squares ellipse that
best fits the data in X and Y. X and Y must have at least 5 data points.<br>
<br>
Xc and Yc are the x- and y-axis center of the ellipse respectively.<br>
<br>
A and B are the major and minor axis of the ellipse respectively.<br>
<br>
Phi is the radian angle of the major axis with respect to the x-axis.<br>
<br>
P is a vector containing the general conic parameters of the ellipse.<br>
<br>
The conic representation of the ellipse is given by:<br>
<br>
P(1)*x^2 + P(2)*x*y + P(3)*y^2 + P(4)*x + P(5)*y + P(6) = 0<br>
<br>
S=ELLIPSEFIT(X,Y) returns the output data in a structure with field
names equal to the variable names given above, e.g., S.Xc, S.Yc, S.A,
S.B, S.Phi and S.P<br>
<br>
Reference: R. Halif and J. Flusser, "Numerically Stable Direct Least
Squares FItting of Ellipses," Department of Software Engineering,
Charles University, Czech Republic, 2000.<br>
<br>
Conversion from conic to conventional ellipse equation inspired by fit_ellipse.m on MATLAB Central <br>
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<td valign="top" width="25%"><b>File Id:</b></td>
<td width="20%">7012</td>
<td valign="top" width="25%"><b>Average rating:</b></td>
<td width="29%">4.58</td>
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<td valign="top"><b>Size:</b></td>
<td>2 KB</td>
<td valign="top"><b># of reviews:</b></td>
<td>12</td>
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<td valign="top"> </td>
<td valign="top"><b>Submitted:</b></td>
<td>2005-02-28</td>
<td valign="top"><b>Downloads:</b></td>
<td>5426</td>
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<td valign="top"><b>Subscribers:</b></td>
<td>4</td>
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<td valign="top"><b>Keywords:</b></td>
<td colspan="3" valign="top">ellipse least square fitting</td>
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<tr bgcolor="#f4f4f4">
<td> </td>
<td valign="top"><b>Other Requirements:</b></td>
<td colspan="3" valign="top">Please email author with bugs.
Will work on prior versions of MATLAB back to version 6.0</td>
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<!--Acknowledgements -->
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<td width="286"> <b class="feh4blk"> Acknowledgements</b></td>
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<td colspan="2">The author wishes to acknowledge the following in the creation of this submission: </td>
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<a href="http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=3215&objectType=FILE">fit_ellipse</a><br>
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<!--Acknowledgements -->
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<td width="286"> <b class="feh4blk"> User Reviews</b></td>
<td width="228"> <div class="small" align="right">Number
of Reviews: 12</div></td>
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