melting and casting of titanium is carried out into vacuum by using vacuum arc remelting furnaces. consumable electrodes of titanium are melted into copper crucible called as primary ingots. these primary melted ingots are remelted in the same furnace to get the final ingot.
I think what you are looking is a method called „cold-hearth induction melting“. Raw materials (e.g. Titanium sponge, alloying elements, ...) are positioned in a water-cooled, slotted copper crucible. The surrounding chamber is closed and evacuated. Melting occurs in vacuum. Heat is generated by an induction coil surrounding the copper crucible. Once the material is molten, mixing of the alloying elements occurs by magnetic stirring. After a few minutes, the material can be cast (under vacuum) e.g. into a water-cooled copper mould.
There is a furnace of capacity 3l (600kW) at Access Tech Center in Aachen, Germany, http://www.access.rwth-aachen.de/
The ALD furnaces described above are one of the very view ways to melt Titanium in a pure state. As these devices are quite expensive we use induction heating for the melting of Titanium in high vacuum inertial atmosphere in an graphite crucible that is placed inside a ceramic crucible. That way we get some contamination by carbides but it's still kind of all right.