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POLYWARP question.
| POLYWARP question. [message #15789] |
Mon, 14 June 1999 00:00 |
Octavi Fors
Messages: 13
Registered: March 1999
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Junior Member |
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Hi everybody,
<p>this is regarding POLYWARP function, in particular DEGREE argument.
As far as I
<br>understood by the Online Help, POLYWARP accepts the following polynomial
models
<br>depending on the value of DEGREE:
<p>DEGREE = 0:
<br>X<sub><font size=-1>i</font></sub> = k<sub><font size=-2>x00</font></sub>
<br>Y<sub><font size=-1>i</font></sub> = k<sub><font size=-2>y00</font></sub>
<p>DEGREE = 1:
<br>X<sub><font size=-1>i</font></sub> = k<sub><font size=-2>x00</font></sub>
+ k<font size=-2><sub>x01</sub> </font>X<font size=-1><sub>o</sub>
+ </font>k<font size=-2><sub>x10</sub> </font>Y<font size=-1><sub>o</sub>
+ </font>k<font size=-2><sub>x11</sub> </font>X<sub><font size=-1>o</font></sub>Y<sub><font size=-1>o</font></sub>
<p>Y<sub><font size=-1>i</font></sub> = k<sub><font size=-2>y00</font></sub>
+ k<font size=-2><sub>y01</sub> </font>X<font size=-1><sub>o</sub>
+ </font>k<font size=-2><sub>y10</sub> </font>Y<font size=-1><sub>o</sub>
+ </font>k<font size=-2><sub>y11</sub> </font>X<sub><font size=-1>o</font></sub>Y<sub><font size=-1>o</font></sub>
<br>
<p>DEGREE = 2:
<br>X<sub><font size=-1>i</font></sub> = k<sub><font size=-2>x00</font></sub>
+ k<font size=-2><sub>x01</sub> </font>X<font size=-1><sub>o</sub>
+ </font>k<font size=-2><sub>x10</sub> </font>Y<font size=-1><sub>o</sub>
+ </font>k<font size=-2><sub>x11</sub> </font>X<sub><font size=-1>o</font></sub>Y<font size=-1><sub>o</sub>
</font>+ k<sub><font size=-2>x02</font></sub>X<font size=-1><sub>o</sub><sup>2</sup></font>+
k<sub><font size=-2>x20</font></sub>Y<font size=-1><sub>o</sub><sup>2</sup>
</font>+ k<font size=-2><sub>x12</sub> </font>X<font size=-1><sub>o</sub><sup>2
</sup></font>Y<font size=-1><sub>o</sub>
</font>+ k<sub><font size=-2>x21</font></sub>X<sub><font size=-1>o</font></sub>Y<font size=-1><sub>o</sub><sup>2</sup></font>+
k<font size=-2><sub>x22</sub> </font>X<font size=-1><sub>o</sub><sup>2
</sup></font>Y<font size=-1><sub>o</sub><sup>2</sup></font>
<p>Y<sub><font size=-1>i</font></sub> = k<sub><font size=-2>y00</font></sub>
+ k<font size=-2><sub>y01</sub> </font>X<font size=-1><sub>o</sub>
+ </font>k<font size=-2><sub>y10</sub> </font>Y<font size=-1><sub>o</sub>
+ </font>k<font size=-2><sub>y11</sub> </font>X<sub><font size=-1>o</font></sub>Y<font size=-1><sub>o</sub>
</font>+ k<sub><font size=-2>y02</font></sub>X<font size=-1><sub>o</sub><sup>2</sup></font>+
k<sub><font size=-2>y20</font></sub>Y<font size=-1><sub>o</sub><sup>2</sup>
</font>+ k<font size=-2><sub>y12</sub> </font>X<font size=-1><sub>o</sub><sup>2
</sup></font>Y<font size=-1><sub>o</sub>
</font>+ k<sub><font size=-2>y21</font></sub>X<sub><font size=-1>o</font></sub>Y<font size=-1><sub>o</sub><sup>2</sup></font>+
k<font size=-2><sub>y22</sub> </font>X<font size=-1><sub>o</sub><sup>2
</sup></font>Y<font size=-1><sub>o</sub><sup>2</sup></font>
<br>
<p>This is fine, but poor in flexibility: what happens if I want to consider
a model like this, which acounts for 1st. degree crossed XY terms and 2nd.
degree in X and Y?
<p>X<sub><font size=-1>i</font></sub> = k<sub><font size=-2>x00</font></sub>
+ k<font size=-2><sub>x01</sub> </font>X<font size=-1><sub>o</sub>
+ </font>k<font size=-2><sub>x10</sub> </font>Y<font size=-1><sub>o</sub>
+ </font>k<font size=-2><sub>x11</sub> </font>X<sub><font size=-1>o</font></sub>Y<font size=-1><sub>o</sub>
</font>+ k<sub><font size=-2>x02</font></sub>X<font size=-1><sub>o</sub><sup>2</sup></font>+
k<sub><font size=-2>x20</font></sub>Y<font size=-1><sub>o</sub><sup>2</sup></font>
<br>Y<sub><font size=-1>i</font></sub> = k<sub><font size=-2>y00</font></sub>
+ k<font size=-2><sub>y01</sub> </font>X<font size=-1><sub>o</sub>
+ </font>k<font size=-2><sub>y10</sub> </font>Y<font size=-1><sub>o</sub>
+ </font>k<font size=-2><sub>y11</sub> </font>X<sub><font size=-1>o</font></sub>Y<font size=-1><sub>o</sub>
</font>+ k<sub><font size=-2>y02</font></sub>X<font size=-1><sub>o</sub><sup>2</sup></font>+
k<sub><font size=-2>y20</font></sub>Y<font size=-1><sub>o</sub><sup>2</sup></font>
<br>
<p>Does anybody know any implementation/patch of POLYWARP which permits
more freedom in considering
<br>coeficients to obtain?
<br>
<p>Thanks in advance,
<p>Octavi.
<p> ============================================================ =====
<p>Octavi Fors Aldrich
<p>Departament d'Astronomia i Meteorologia
<br>Facultat de Fisica
<br>Avgda. Diagonal 647
<br>08028 Barcelona
<br>SPAIN
<p>Telf: 34-934021122
<br>Fax: 34-934021133
<br>e-mail: octavi@fajnm1.am.ub.es
<p> ============================================================ =====
<br> </html>
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