This has changed some in the last 20 or so years as sensors and IC's have entered the scene.
UVW are commutation control outputs and are traditionally aligned with the structures in the motor- resolution is generally the small number of poles in the motor, angular accuracy is not great since traditionally separately mounted hall devices are used but read on. Quadrature outputs have traditionally been produced by an optical encoder with a slotted wheel and have much high resolution up into thousands- their phase is not aligned directly with the motor. In a lot of modern BLDC motors, both of these outputs are produced by a rotary angle sensor from a single special magnet. The input for both is the same and the outputs are synthesized. In general, UVW are useful for speed control and commutation and incremental is used for precision angular displacement (stepper like).
The rotary angle sensors used have good app notes. Sensima (acquired by MPS), Allegro and Melexis make most of the IC's. You'll have to work your way through which is better in your case. The synthesized outputs have different kind of errors from the old outputs and require some rethinking.
Good luck.