This post is an extension of the previous post but with the spheroid surface brightness profile in the H band this time.
To make the mock data we fit two lines. The first was a second degree polynomial to the median values and the second line was a simple line to the first three values in the $84^{th}$ percentile.
The new fitted function looks like this:
And at the same zoom:
This looks much better here is a generated image:
The recovered mean:
Samples from the fitted process: