terminology - What are the types of 3rd-person camera called?

I'm struggling with the terminology surrounding different types of 3rd person camera. What are the common 3rd-person camera types called? What are some notable examples of their use?

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Here's what I think I've got so far:

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  3rd Person Fixed: This type seems glued to a position behind the character. The camera and character always rotate together.

  
  

  Example: Gears of War

  
  


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  3rd Person Free: The camera can be rotated independently of the character, so the character can continue walking in one direction while the camera is freely rotated around them.

  
  

  Example: Assassin's Creed series

  
  


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  3rd Person Fixed-Free: This is a combination of the two above. The camera can rotate independently while the character is stationary. However, when the character starts moving, they will move in the camera's direction (not the character's direction) and rotate accordingly. Also, if the camera is rotated while the character is moving, the character will also rotate with it, as with the fixed type above.

  
  
  

  Example: Max Payne

  
  

Am I right?

Answer

There are no standard definitions for all the various ways in which a 3rd person camera can behave.

Your attempts at definitions are reasonable, but it would also be perfectly acceptable for a camera called a "3rd person free" camera to be entirely unconstrained to the player's location and a "3rd person fixed" camera to be one that is fixed on the player's location but can freely orbit around it.

Each game or game studio will likely use their own variation on these names.