Before the latest iOS update, when browsing photos on the iPhone, there was a garbage can icon in the lower right corner. It's gone now.
Only with the Camera Roll, not with Photo Library which includes photos that were transferred from your computer via the iTunes sync/transfer process.
I had imported an album of photos FROM iPhoto TO the iPhone but now want to delete them. I tried the solution presented above, but they never show up in "Image Capture" so there's no way to get rid of them. They do not show up if I plug in my iPhone in iPhoto either. It's like the photos do not exist anywhere.... and yet, there they are on my iPhone and I cannot get rid of them.
iPhoto and the Image Capture app on a Mac can delete photos and videos from the iPhone's Camera Roll, not for photos that were transferred from your computer via the iTunes sync/transfer process which are stored in the iPhone's Photo Library.
Photos that were transferred from your computer via the iTunes sync/transfer process (which is selected under the Photos tab for your iPhone sync preferences with iTunes) and are the photos in the Photo Library on your iPhone are removed in the same way - via the iTunes sync/transfer process. To remove all photos on your iPhone that were transferred from your computer, deselect Sync Photos under the Photos tab for your iPhone sync preferences with iTunes followed by a syn. If you are transferring photos from iPhoto on your Mac, you can select sync select iPhoto albums, events, ect. and deselect the iPhoto albums, events, etc. below followed by a sync to remove the albums, events. To remove a select photo only from your iPhone that is in an iPhoto album selected to be transferred to your iPhone, remove the photo from the iPhoto album in iPhoto followed by a sync.