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   <title>DPUSER - The Next Generation: Function transpoly</title>

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<h1 class="declaration">function transpoly</h1>
<p>
Compute the transformation matrix for two reference coordinate systems, with errors. It is described by a second order polynomial. The number of reference sources must be >= 6. The transformation function will be calculated using a least squares fit to given coordinates. Note that if either in REFSTARS or in IMSTARS a coordinate is exactly (-1, -1), this star will not be used to calculate the transformation matrix.
<br><br><b><font size=+2>Syntax</font></b><br>
<i>result</i> = transmatrix(REFSTARS, IMSTARS, ERRORS)
<br><br><b><font size=+2>Arguments</font></b><br>
<table CELLSPACING=0 CELLPADDING=0>
<tr VALIGN=TOP><td nowrap>REFSTARS:&nbsp;&nbsp;</td>
<td> A matrix 2xm (m >= 6) with positions of the reference stars in the reference frame (= masterlist)</td></tr>
<tr VALIGN=TOP><td nowrap>IMSTARS:&nbsp;&nbsp;</td>
<td> A matrix 2xm (same size as REFSTARS) with the positions of the same stars in the image to be transformed.</td></tr>
<tr VALIGN=TOP><td nowrap>ERRORS:&nbsp;&nbsp;</td>
<td> A matrix 2xm (same size as REFSTARS) with the errors of the positions in REFSTARS.</td></tr>
</table>
<br><br><b><font size=+2>Returns</font></b><br>
A matrix 2x12 which describes the coordinate transformation matrix:
<br><tt>&nbsp;&nbsp;&nbsp;x' = result[1,1] + result[2,1]*x + result[1,2]*y + result[2,2]*xy + result[1,3]*x^2 + result[2,3]*y^2</tt>
<br><tt>&nbsp;&nbsp;&nbsp;y' = result[1,4] + result[2,4]*x + result[1,5]*y + result[2,5]*xy + result[1,6]*x^2 + result[2,6]*y^2<br></tt>
The remaining coordinates [1:2,7:12] are the errors of the respective elements of the transformation matrix.
<br><br><b><font size=+2>See also</font></b><br>
<a href = "function_transcoords.html">function transcoords</a><br>
<a href = "function_transform.html">function transform</a><br>


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