Hmm.. I think in the case of a fractal its actually easier, since you'd typically not resample, but instead recompute the fractal iteration count. Consider the case of zooming in on a region of the fractal. Do you:

a) only zoom by fixed integer scalings?

or

b) have an arbitrary scale represented by a float?

In the case of b, this means you need to re-compute what the (fractional) pixel locations are that would correspond to the fixed image size of your viewport. We can regenerate the fractal given these new sampling locations.