3D map from 2D, and filled with blue fluid

Using Blender’s displace modifier, I created 3D map from 2D map.

The original map is below.

us_colormap0_original

Original US map

And solidified map is below.

3D US map

3D US map

3D US map

3D US map2

It’s recognizable as United States. And the red color state outstands among other gray stats, as expected.
But some inner borders are ditched with no reason. The original picture was generated by programming, so it has no noise, still there is inconsistency between 2D and 3D.
That’s not good.

 

Anyway, I wanted to fill gray states with a color. 2D map do it by fill areas. See below for example.

2D US map filled with color

2D US map filled with color

What about 3D? I think equivalent of filling areas with color in 3D is to pour colored water.
The video below demonstrates that.

The snap image is here.

3D US map filled with blue water

3D US map filled with blue water

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