Just as an example, if you take a photo of me with your camera and I explicitly tell you to not publish the photo you are not allowed to [0], even if the photo is stored on your own drive. I can’t force you to delete the photo, you are free to keep it and show it to your friends but you are definitely not allowed to publish it.
[0] There are certain narrow exceptions in the respective German law but they don’t apply in this case.
Kunsturheberrechtsgesetzes (KunstUhrG) §22, first sentence: „Bildnisse dürfen nur mit Einwilligung des Abgebildeten verbreitet oder öffentlich zur Schau gestellt werden.“ (Rough translation: “Images can only be published with consent of the depicted.”)
Here’s the whole text (German): http://dejure.org/gesetze/KunstUrhG/22.html
§23 lists all the exceptions:
1. Photos with some sort of historic meaning.
2. Whenever the depicted persons are merely incidental to the actual subject.
3. Photos of gatherings, demonstrations and similar such events.
4. Basically, if it’s art.
For example, if we are in a public park, and I take your picture even against your explicit wishes, as long as I do not make any commercial profit off of it, I am pretty much free to publish it in any way I want (flicr, etc.).
If I want to sell it or profit from it in some way, you certainly have some rights. But, basically, if you are in a public place you have no privacy rights against someone taking a picture of you and publishing it.