I'm not entirely up to speed on what the laws are like internationally, but where I'm at there's the concept of "portrait rights" which basically amounts to you

I'm not entirely up to speed on what the laws are like internationally, but where I'm at there's the concept of "portrait rights" which basically amounts to you having rights to a photo made of you. The photographer gets the copyright, but he's not allowed to distribute the photo without your say so since you own the portrait rights. There's a couple of fairly sane exceptions such as crowd photos, you need to be the actual subject of a work for portrait rights to apply. It'd be a fairly boring application of these laws to say that you have portrait rights to any deepfake of you. Furthermore I think refering to a deepfake as an image in your likeness is selling it short. A deepfake is more akin to a mashup of a lot of photos of you. A deepfake doesn't just look like a person, it's made from photos of that person. Not sure how this line of thinking would apply to other countries, but it seems like a viable framework for regulating the whole thing to me.