Straight Lines Between 2 Curves

Is there a way to divide two curves and draw straight lines between them such that the straight lines don't overlap each other?

I've attached a sketch of what I'd like to do.

I've tried just dividing both curves by the same number, but in areas of tight curvature, the lines can overlap. The other option was to take lines perpendicular to one curve and extend them out to the other, but again, they will overlap.

I'm guessing it will be somehow connecting the curvature values to the 't' values when shattering a curve? Maybe...?

Any help would be much appreciated!