Hi Georg,
This was an old bug that I fixed some versions ago; now StarAlignment can register an image on itself without problems (just try with a different image). However, the 2-D surface spline generation routine can fail sometimes with a 'singular matrix' exception. This error is more probable for more ill-posed problems such as autoregistration.
While I fix the singular matrix problem (which is not easy BTW), just don't use surface splines and there should be no problems. Surface splines are only necessary for mosaic construction.