Here is an interesting paper, antibacklash, but it has two rollers per tooth, either cylindrical, conical, or spherical.
There is quite a lot of trigonometry and matrices...
There are 22 references...

https://www.researchgate.net/profile/Mark_Horstemeyer/publication/274581068_Parametric_Study_of_Meshing_Characteristics_With_Respect_to_Different_Meshing_Rollers_of_the_Antibacklash_Double-Roller_Enveloping_Worm_Gear/links/593248a245851553b6a9dd24/Parametric-Study-of-Meshing-Characteristics-With-Respect-to-Different-Meshing-Rollers-of-the-Antibacklash-Double-Roller-Enveloping-Worm-Gear.pdf

- Brian

A single roller, touching on both sides, is not going to roll...