1D: Test fitting

To test the Sérsic Law and the Generalized Gaussian's ability to recover trends which may change with radius we created an artifical galaxy with a small $\mu_{n-k}$, 3, but distinct thick disk properties: a $f_h$ of 2 and a $f_z$ of 4. As the artifical galaxy has no physical background boundaries a "depth" of the image has to be assumed. To obtain the best comparable profile to our sample we set $\mu_\textrm{\scriptsize cut}$ at 7.4 mag arcsec$^{-2}$ from the central thin disk magnitude, which is the largest value from our sample. An artifically deeper dataset at 8.4 mag arcsec$^{-2}$ was also made to see if the behaviour of the resulting fit parameters would change because of the resolution of the image. Another variation was added in the form of a weighted and unweighted test. On a real galaxy one would have to apply weighting to ensure the quality of the fit. On an artificial galaxy weighting should not be necessary to obtain a best fit.