LUT (lookup table)
A set of data that enables a numeric transformation of pixel values to change the way an image looks. Two types of LUTs are used in Final Cut Pro:
Camera LUTs (also known as camera log conversion LUTs) provide log processing for media from video cameras that have a log recording option. When you import media, Final Cut Pro detects metadata in the media identifying the log format and automatically applies the appropriate built-in camera LUT. Camera LUTs are applied to all instances of a clip in a library and are applied before any clip effects.
Custom LUT effects are clip effects that can be applied to timeline clips at any position in the effect order. You can use them to stylize footage with custom looks. You can purchase and download custom LUT effects from a variety of sources, or you can create one yourself using inexpensive color-grading software or plug-ins.