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estimateAffinePartial2d is similar to estimateRigidTransform with the parameter fullAffine = false
estimateAffine2d is similar to estimateRigidTransform with the parameter fullAffine = true.
They don't use the same code. I think the only difference is that the estimateAffine functions use RANSAC to remove outliers and so are accurate even on noisy data.
