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Notice how using smoothed normals warped the cube's displacement pattern and changed its appearance:

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hoverfalse
methodoverlay
overlayedSlidertrue
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imagesmoothdisplacement_topo_1_jpg-15a93198-512d-49a9-ad78-2d11cc3117410.jpg

You can avoid that effect by inserting additional edges near sharp edges. This will limit the normal interpolation to the areas next to the edge and generally preserve the original appearance.

Rollover Image Link
hoversmoothdisplacement_topo_2.jpg
imagesmoothdisplacement_topo_0.jpg