QGIS : transformation types in geo-referencing

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Im a beginner in geomatics.

I try some images georeferencing in QGIS.

I would like to understand what is happening behind the different transformation types (linear, polynomial, Helmert...).What I don't understand, is the red lines that appear after inserting a GCP. These lines take as a starting point the point the user put, but I don't understand their orientation.Is this shows the gap between the coordinates given by the user and the coordinates of the map ?

Example : http://hpics.li/dbe04f9

Thank for the help



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