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I'm studying image quality assessment (IQA) problem and I'm currently learning about quality meassures UQI and SSIM, I know UQI is a predecessor of SSIM, but they look exactly the same for me...

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The developers of both are the same hence the similarity is indeed "By Design".

The only difference is the addition of 2 constants in SSIM (C1 and C2).

The UQI:

enter image description here

The SSIM:

enter image description here

As the writers write in the SSIM paper:

enter image description here

Namely, UQI is a private case of SSIM for C1 = 0 and C2 = 0.

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