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With the Python Imaging Library (PIL), how does one compose an image with an alpha channel over another image?

I have two images, both with alpha channels. I want to put one image over the other, resulting in a new image with an alpha channel, just as would occur if they were rendered in layers. I would like to do this with the Python Imaging Library, but recommendations in other systems would be fantastic, even the raw math would be a boon; I could use NumPy.

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This appears to do the trick:

from PIL import Image
bottom = Image.open("a.png")
top = Image.open("b.png")

r, g, b, a = top.split()
top = Image.merge("RGB", (r, g, b))
mask = Image.merge("L", (a,))
bottom.paste(top, (0, 0), mask)
bottom.save("over.png")

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