Well, on the one hand, it's "just" nested linear interpolation with some control points, and traditionally, interpolation falls under mathematics. On the other, the wiki page mentions computer contexts first[0].

I think most of us would agree that there is a fuzzy boundary between mathematics and algorithms, or even that the latter is a subset of the former. Bresenham's Line Algorithm[1] is an algorithm, but it can also be interpreted as a kind of mathematics to determine points on a grid based on a path through that grid.

More importantly though: yes, it is a very useful and simple tool in many contexts.

[0] https://en.wikipedia.org/wiki/B%C3%A9zier_curve

[1] https://en.wikipedia.org/wiki/Bresenham%27s_line_algorithm