Estimating the parameters of an ellipse when angular differences are known (Q1979104)
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scientific article; zbMATH DE number 1452450
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimating the parameters of an ellipse when angular differences are known |
scientific article; zbMATH DE number 1452450 |
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Estimating the parameters of an ellipse when angular differences are known (English)
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24 May 2000
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The ellipse curve model \[ x(t)=a+p\cos(t+\alpha),\quad y(t)=b+q\sin(t+\alpha), \] is fitted to data \((x_i,y_i,t_i)\), \(i=1,\dots,n>5\), via the least squares method. An algorithm which uses analytical reduction of the problem and iterative methods are described. The problem of ellipses in general position (rotated by an unknown angle) is also considered. Some numerical results are presented.
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ellipses
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fitting to data
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least squares
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angular differences
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