Well, if it resembles the "dragon sword" from a ninja video game, chances are it's not really a sword in the sense we mean it around here but more of a wall-hanger (a cool-looking, unsharpened piece of metal in the shape of a sword, whose making doesn't involve any forging). Therefore I would tend to doubt it can be considered a weapon at all by the law, more like those gun replicas whose only use is to be displayed above the fireplace (not that you can't hurt yourself and others with such a sword: avoid swinging that thing around too much for their tang is often prone to breaking, and a blade-shaped metal missile can do some nasty stuff). Could you post a link where we could see the item? That would settle it. If you can't find one, telling us the price would give us a certain idea of the way the blade is made.
I may be mistaken about the law though, since I've never been to Texas and am perfectly clueless about its regulations. It's just that I doubt any state forbids possession of that kind of wall-hangers.