The Quadify Mesh modifier converts the object structure to quadrilateral polygons whose relative size you specify. This capability helps to produce rounded edges when combined with MeshSmooth.
Left: Original object
Right: After applying Quadify Mesh and MeshSmooth modifiers
The approximate size of each quadrilateral relative to the size of the object. The smaller this value, the more quads will result.
Left: Original object
Center: Quad Size %=8.0
Right: Quad Size %=4.0