We recently bought a new home [well, new to us

] The parents of several cats & dogs, one of the selling points of the house was that it has beautiful ceramic tile in every room.
My only complaint (other than the fact that we are down to one dinner plate because the floor is very unforgiving to anything dropped on it) is the fact that they are so very cold in the winter. I don't understand why the previous owners didn't plan ahead & install radiant heat under the tiles.
I don't suppose there has ever been developed any technology to install the radiant heating without destroying the floor?