Director Cut

After the shooting is finished the director can turn his/her attention to working with the editor and further improve the cut of the film . This is the time where the first cut is altered to create the film in the vision of the director. While working this cut which is refered as the directors cut , the director and editor go over the whole film re ordering tweaking, removing and shortening different scenes and shots. In some cases with doing this they would find plot holes , missing shots or even missing parts which could end up needing more scenes to be filmed.

Final Cut

 usually  the director has had his/her chance to oversee a cut .the rest of the cuts are sometimes supervised by one or more producers who represent the production company and/or movie studio.

Continuity

Continuity is a term that means a series of shots should be physically continuous like the camera just changed angles in the course of a single event. An Example would be if you look at an empty bottles of water in one shot the in the next shot it wouldn’t be full. An example of very continious footage would be footage that is live. Since the operators are changing from one live feed to another the shots match very closely. Many people look at inconsistencies in continuity as mistakes and in most cases the editor gets the blame but if this was in the case of a film continuity is almost the last things on the list to maintain. The scrip supervisor who sits next to the director is look at as the editors watchman if shots are captured out of sequence which is often the case he would be the one to make the bottle is left in the empty state the editor uses these notes made by the script editor in the post production stage to log and keep on top of the vast amount of footage and takes a director may shoot.