Does anyone know how to implement 3d “stacked” groups of images like that in the android photo gallery app?
I found this link for creating a 3d carousel. Although it is a step in the right direction, it is not really what I am looking for.

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Have you seen https://stackoverflow.com/questions/5338325/android-download-gallery-source-code?
It would be ideal to clone the source code, as Android is open source.
That is the best way to learn, but here are some code snapshots:
Gallery 2.1r2
Android 2.0 Gallery app
From CyanogenMod, Android 2.0
CyanogenMod, Android Gallery 2.3(Gingerbread)