Actually the idea of fullers in a blade was not for blood grooves or for slicing efficiency. It is generally thought that it was simply to reduce the weight of the blade and increase strength on a weapon carried in combat situations.
The end result pretty much produced a knife that did all four things. What company invented it is still highly debated. Most likely this technique was not invented by a modern day company or individual. Old 18th and 19th century calvary sabres utilized fullers long before Marbles or Ka-Bar was even concieved of. Who utilized them in knives first is debateable. I thought Ka-Bar did in the Marine fighting and survival knife.
In the old days fullers were not ground out like they are in most cases today. Ground out fullers actually weaken the blade along the spine as well as reduce weight. (apparently they work to allow a channel for blood to flow as well)
Swords and Sabres that were hand forged in the earlier times were made using a pipe along the spine of the blade to increase it's strength. As the 19th century progressed and metallurgy improved, pipe backs were no longer necessary to increase the spine strength of a sword or sabre. They gave way to grooves forged in the side of the sword and these were known as "fullers". Fullers were made by first heating up the blade to make it malable and then by positioning the blade over a bottom fuller mold, (or positive impression mold that came in various lengths and widths and degrees of curves) setting a like sized top fuller mold on the top side of the sword, and hitting the top fuller with a hammer sharply, sometimes more than once. What happened was that the fibers of the metal would spread out thinning in one spot and squeezing together in others. Besides making the sword lighter, the fullers made it more flexible and stronger along the spine as well as, less likely to snap under the extreme stresses of battle.
There is no way to replace steel into the blade once it is ground away period! You can indeed round the edge on any grind regardless but that is redundant to say the least. To do so would reduce the efficiency of the cutting edge in a concave, flat or hollow ground blade or any grind type of blade to the point that one would have to question why even do that? Hollow and flat grinds were ground out that way to make them an effective and effortless slicer.
In my mind there is no strength benefit to a rounded edge on a flat or hollow ground blade and in fact it could be argued that it would demand increased pressure on the spine to make the knife with a rounded edge cut as it used to before the edge was rounded, which inadvertantly would result in making the knife a liability.
Sharp knives are safer than rounded off dull ones. More pressure on the blade equals more force when it slips and that equals deeper more severe wounds if it cuts into the user or bystander. Sharper blades are easier to control and require less force to make them work, thus they are safer.
Convex grinds were invented for heavy chopping instruments like cleavers, and machetes, axes and hatchets. The edge on these grinds is supposed to be rounded. That is what increases the strength and edge holding ability for what it was designed to do. The very design prohibits a convex grind from ever giving the user the same kind of control one of the more effective grinds can offer. And while it may be true that a convex grind can be seen on smaller knives and that they can be made to do the jobs of other grinds on a smaller knife the fact is the grind was originally created for the heavier implements..
See more here at the link below and you will see why I contend that making a concave, hollow or flat grind knife blade into a convex grind is physically impossible. As I said you could certainly take a convex axe, or even a modified V axe and hollow grind it or flat grind it but you cannot physically ever go back to the original convex or mod v grind once you remove the metal from the belly of the cutting edge. Not unless you perform a hands on healing of the blade and replace the steel you ground out of it.
http://www.atar.com/index.php?module=pagemaster&PAGE_user_op=view_page&PAGE_id=3&MMN_position=3:3