Here is a more visually oriented approach. (Image profile diagram is exaggerated.)
At upper left is a relief image of the word LIBERTY on a current quarter. Blue indicates lower and red higher relief relative to one another. The thin red diagonal line shows were a detailed measurement was taken.
Upper right is a color image showing a selected relief measured range across the L and I, ending just before the letter B.
At bottom is the measured relief beginning just left of the L and ending just left of the B. The light blue/cyan color line is the profile. Red “Xs” mark relief height measurement points. The greatest point of relief on the letter I is 0.028mm above the field; the greatest relief on the L is 0.023mm above the field. The profile shows that the top of both letters is not flat, but irregular. Further, the letter I has greater relief above the field than the letter L. (Is this due to metal flow or die design?)
Notice the red angles where each letter intersects the field. The blue/cyan profile clearly shows broad curvature, and the outside angles are in excess of 114 degrees.
The result of these measurements is to show why modern coins look “mushy.”
[Measurements made with a Keyence 3D Optical Profilometer, VR-6000 Series.]