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A guess: You have it only as a low resolution bitmap and you need a vector version. In this case trace it and forget the idea to make an exact replica by applying some distortion transform to a less curved pattern of ellipses. There's too many unknown variables that should be guessed right. A mathematician might find the wanted transformation rule, but for ...
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The original array may have had rotated ellipses (at the left had side). Possibly using a step blend to make each row. Maybe something like this
Then distorted with a 2 x 2 Envelope Mesh
This is fine if you are happy enough with something similar, however since you want the exact same form, I think it would be really difficult to use that method to ...
1
This is a common problem with PDF displaying letter I. If you zoom in you will see that the lines are all of the same thickness.
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