World coordinates are the ``real'' equatorial coordinates of objects
in catalogs: right ascension, declination and their epoch.5.1
Given an image frame, we reffer to the transformation between and
pixel coordinates and their world coordinate counterparts as the
World Coordinte System (WCS for short) of the frame.
The transformation between the spherical equatorial and the ``flat'' image coordinates cannot be done without choosing a projection system. GCX uses the plane-tangent projection system, which is appropiate for relatively narrow fields.5.2
In the plane-tangent system, the WCS is specified by the following values:
A given frame's WCS can be in one of the following states:
When a frame is loaded, the WCS is initially unset. The header of the frame is searched for information about the initial WCS. The following fields are searched, in order:5.3
By WCS fitting we understand the process of comparing the positions of stars extracted from the image frame versus the projected positions of catalog stars, and the subsequent adjustment of the WCS for the best match.
The fitting process consists of the following steps:
The algorithm tolerates frame rotation and changes in scale. If some bounds can be placed on initial errors (for instance if we know that only a limited rotation range is expected) it is possible to pass that information to the algorithm in order to narrow the search.
The Scale tolerance option sets the maximum initial error of the
image scale for the pairing alogorithm. A value of 0.1 specifies that
the scale of the initial WCS has an error of at most . The
Rotation tolerance specifies how much field rotation is expected
by the pairs matching algorithm. A value of 180 will let the algorithm
match frames of any rotation. A third important parameter is
Minimum number of pairs. This specifies the number of pairs at
which the algorithm decides it has found a match. The default values
for these parameters almost never generate a bad match, even for quite
dense fields. If one increases the scale tolerance, there is an
increased risk of having a bad match, and the minimum pairs should be
increased as well.
The pairing algorithm requires the initial WCS to have the correct mirroring. When the initial WCS's scale comes from the CDELT1/2 fields, their signs will determine the mirroring: when both have the same sign, the frame is ``normal'', i.e. W is to the right when N is up. If the signs are different, the field is flipped.
When the initial WCS's scale comes from a single scale parameter, the mirroring will be set by the program according to the value of the General Observation Setup Data/Flipped field option.
The WCS fitting steps can be performed one at a time, or all together. The Wcs/Auto Wcs operation will do the following steps: Stars/Detect sources, File/Load Field Stars/From Tycho2 Catalog, Wcs/Auto pairs, Wcs/Fit Wcs from pairs. The Wcs/Quiet Auto Wcs variant will also delete the detected and field stars at the end of the fit.
Selecting Wcs/Reload from frame will revert the WCS to the parameters before the fit. The pairs will remain marked.
In the unlikely event that the pairing algorithm fails,5.4 it is possible to create pairs ``by hand''. Select a detected star, then right-click on the catalog star you want to pair it with and select Create Pair from the pop-up menu. When at least 2 pairs have been marked, we can fit the wcs with Wcs/Fit Wcs from Pairs. Note that the fit will not be marked as ``valid'' unless at least Minimum number of pairs have been marked.
root 2005-11-27