How to stretch a surface uniformly or exponentially

Hi,

I was wondering if anyone has any suggestions on how I can uniformly stretch the last I have on the left, to have the same heel height as the one on the right.LAST%20HEEL%20HEIGHT%205.3dm

I was thinking to use grasshopper to contour the shape horizontally and then move the contours uniformly away from each other and then loft, to essentially create a new stretched shoe last with the right height. I could even use an exponential formula, as I believe the stretching should mostly happen closer to the heel itself.

I am not sure if this would work, or how to do this.

Any help, would be greatly appreciated.

Thank you for your help.