I suggest you read the Photographer's Rights site.
There have been security guards who have harassed photographers for taking photos of buildings because the building designs are "copyrighted." You are allowed to take a photo of a copyrighted object. (If you couldn't, someone wearing a shirt bearing the likeness of any copyrighted fictional character could end all street photography in an area.) You may or may not be able to publish said photo (depending on the circumstances), but you can certainly take the photo and enjoy it for your own private use. Nobody is saying that the copyright of the original changes hands, but you own the copyright of any photo you take.
Awhile back, Toyota tried to claim that they owned a copyright on any Toyota vehicle and so any photographs containing Toyotas were owned by them regardless of who took the picture. (They actually used the DMCA to take down photos involving Toyotas.) Needless to say, they didn't succeed and you can take a photograph of any Toyota in public without having to turn said photo over to Toyota.
Private places can tell you up front that photography is not allowed (e.g. museums where the exhibits would suffer from the flashes or movie theaters). If they do, they can kick you out for photographing where you were told not to. What they can't do, though, is order you to delete those photos. They can contact the police, try to have you arrested, and sue for the photos to be destroyed. They can't demand that you hand over your camera so that they can delete the photos or detain you until you delete the photos yourself.