These are the various way in which two shots can be joined together, each method often determining a completely different meaning than another.
Straight Cut:
The most basic cut of all is a straight cut. As the name suggests its used to simply transition instantly between shot A and shot B, often used to convey a different angle of the same scene.
Contrast Cut:
Used to intently juxtapose two scenes, for example, cutting from a hellish nightmare to the character lying alone in his bed. The sudden jump between a scene of chaos and peace intensifies the content in a way that a gradual transition could not.
L Cut (Split Edit):
Effectively this is a sound bridge, a moment where the sound from the previous scene or the one coming next can be hear before or after the image. An example could be a shot of a slamming car door (as seen in Goodfellas) that cuts just before the door makes contact however retains the sound. The effect is to disguise the cut and allows the scene to flow seamlessly from shot to shot or location to location.
Form/Match Cut:
This is when a cut retains a similar shape, in a similar position, within the frames before and after the cut. One of the most famous examples of this style of transition is in Kubrick's 2001: A Space Odyssey (1968) when a prehistoric man throws a bone into the air that then turns into a space ship, signifying the evolution of man.
Parallel Editing Cut:
Similar to a form cut however the match-on-action is so precise the director will try to disguise there was even a cut at all. An example of this could be when an actor walks towards a camera, resulting in a black out, this is where the cut would occur, then a second actor would walk out from the camera, revealing a new scene. The audience will be able to recognise a cut has occurred, however they'd have to watch the scene back to pin point exactly where it took place. A fairly recent example of a film that employed this technique as its unique selling point is Children Of Men, directed by Alfonso Cuaron (2006). The film used a number of clever cinematography techniques to minimise the amounts of cuts required. The result are long takes, some up to five minuets, that take the audience on visually impressive journeys through war torn streets.
Cross Dissolve:
This is when two images are faded, one to the other, over as period of time lasting anywhere between a couple of frames to a number of seconds. In early film making this 'effect' would often be employed to convey a passage of time, contrasting the immediacy of a straight cut.
Wipe:
This is where one shot replaces another by way of a vertical or horizontal 'wiping' action. Simply put, imagine a vertical line moving from left to right across the screen, as the line progresses across frame more and more of the new image is revealed. The most common use of this effect is when moving between floors or walls in a building, in this example the wall becomes the vertical line that moves across the screen as the supposed position of the camera shifts.
Jump Cut:
These cuts are used to abruptly move a film forward in time, contrasting that of a dissolve, used in an attempt to soften a cut, a jump cut is intentionally noticeable. Mistakenly, this terms is often used to describe any jarring cut where in actuality the only the only cut that constitutes a jump cut is where two sequential shots of the same subject follow each other in slightly varying angles. Kubrick's 'dawn of man' cut, a transition that has been described as the most famous jump cut, actually doesn't constitute as this type of transition as the subject shifts. As I've said, this is more akin to a match cut.
Jump Cut: A Short History
George Melies accidentally discovered the effect when editing one of his films, by removing frames he realised that he could create the magical illusion of making objects suddenly disappear. The difference between this and what we now consider a jump cut is the fact he tried to hide the cut in order to sustain the illusion. It was during the 1950's and 60's of French new wave cinema that the discernible jump cut was used in deliberate fashion. Jean-Luc Godard's Breathless (1960) contained a huge amount of jump cuts, used for stylistic purposes, emphasising and extenuating the discontinuity of cuts.