Hi Michael,
You will generate a new mesh using the following general approach.
1. Select your existing mesh in the workspace.
2. Use "Tools->T3 Mesh->Extract EdgeLengths" to get the existing density map.
3. Use "Tools->T3 Mesh->Extract Edges (Shorelines) to get the outline (and potentially islands) geometry.
4. Using the Calculator, multiple the Edgelengths mesh object from step 2 by some factor.
5. Now invoke "File->New->T3 Mesh generator".
6. Supply the extracted Edges (shoreline) object from step 3 as the outline to the mesher.
7. Add the EdgeLengths object generated in step 4 as the density object for the mesher.
8. Run the mesher and you're away...
Note: depending on the particular configuration of your mesh, you might have to tweak the density object by supplying additional constraints.
Hope this helps... Martin