@sstadnicki mathematician here, not answering your question but making a tangential point. I would advise to find what really makes sense to be added, expressed as a function f of the value, then use
f^{-1}( t f(A) + (1-t) f(B) )
For example, if your values are side-length of a 2D figure, usually it will feel smoother to have the area be interpolated linearly: you then take f(x)=x^2 and thus interpolate by
√( tA^2 + (1-t)B^2 )
or
√( B^2 + t (A^2 - B^2) )
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