Hot answers tagged transformation
Since your data is already in UTM 34N projection, all you have to do is reproject it to your local CRS. You can do this with gdalwarp (even in batch mode for a whole folder), or inside QGIS with Raster -> Projections -> Warp . ARCGIS should offer similar tools. So no need for georeferencing manually.
Inspired by WhiteboxDev's comment I have added MODIS support to i.tasscap in revision 62197. It is yet untested, please try it and report if all works fine. In order to obtain this improvement, you need to either install/update GRASS GIS 7.1 or even simply grab the updated i.tasscap (which is a Python script here).
The problem is that the data was never in UTM to begin with, and so by having a UTM projection, the file was ultimately being told to be something it wasn't. (Such is life) :) Reprojecting it doesn't fix the problem, because the transformation math is based on coordinates that don't match the assigned projection. To fix this I deleted the .prj file, and ...
You would only use a datum transformation if you wanted to transform your data based on Bessel to another model like WGS84/ETRS89. If all your data has a common (Bessel) base to don't need to do this. When the data frame in ArcMap has data with several different datum(s), a warning should pop up. Get to the dataframe properties page, coordinate system tab. ...
The GRASS program that you linked to was written by Markus Neteler and he's done an excellent job of documenting the code. It appears that the tool has been written with the Tasseled Cap transformation (TCT) coefficients that are specific to Landsat TM and ETM (Landsat 4, 5 and 7). He makes a note in the documentation about whether or not it would make sense ...
To figure out which file has a problematic projection and get additional clues about how to fix it, you can plot the maps on an ArcGIS basemap. This will get the shapefiles to appear on the same screen so you can see which is problematic. In this case you can quickly see that the SourceA file is plotted off in the Atlantic Ocean far from it's proper ...
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