
Our objective is to add a ring of verts outside (yellow)
and the inside verts (red).

Insert your shape or map textures. Just even out the
verts. Even for complex shapes, this I believe is a
must. This will keep your mesh clean and manageable.
Lets start.

Select the verts of the object

Using the scale tool, enlarge the object up to where you want
your external ring of verts are.

Using the split tool on the edge tab, select all the edges
inside the shape. After all are selected, click any of the
selected edges.

This will be the result. A new set of verts inside the
shape.

We now want to scale these verts so they will be at the same
size of the original verts.

Like so.

The texture is still the same for the whole object now. So we
need to remap the external ring back to rough. So we select the
terrain of the whole object.

Deselect the inside faces.

Map the selected faces as rough. This will give us an
Edge "0" to the newly mapped faces.

So just go to the Edge tab, select the inside edge,

Set sharpness to -1 or 4 and we are back to the original shape
with a ring of verts outside. Sometimes this could be enough
but on some instances, you will want another ring of verts inside
this.

So we start all over again, select the edges, split them using
the split tool.

Select the inside verts.

Scale them like so. We're all done. Ring of verts inside
and outside the object. Without manually adding a single
vert and turning a single edge.
COMPLEX
SHAPES 
Most of the time, the shape will be complex, not
just a plain circle. The principle is still the same but do
the following adjustments.
-
When selecting the inside edges before
splitting, make sure you deselect the edges joining two
internal verts (red on picture above).
-
After splitting the edges, you will
get the inside verts. Do not scale them at one
time. Do them by section such as in pic above. I did
them say, the verts highlighted on the yellow box, then the
blue, then the green. You can also move the verts as you
scale to keep them centered.
Lets try this example below. Notice
how I haven't touched the verts yet. What I want to see
is that there are only a few verts in the middle, say 1 or 2
(as this shape is not that complex)

OK. So you still have to turn the edges so they all point to
the major verts. I have also evened out the spacing of
the verts so no two verts are too close or too far.

We now select the edges inside the shape and again, we
deselect the connecting edge between our two center verts.

Split the edges. We now have 2 distinct set of verts around
our 2 major verts. We select the verts around the major
verts one at a time, scale them to enlarge them then
reposition if necessary.

Like so.

Most of the time you get something like above, especially for
shapes where your major verts are not on the center. all
you have to do is move them all (while they are still
selected) until they look pretty centered.
Again, the purpose of this tutorial is not to
eliminate verts and edge manipulation but to minimize them. Most importantly, before you try anything
on your course, be sure to SAVE and KEEP BACKUPS!!!
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