Are there formalized reasons for why mesh representations are preferable to Bezier Curves? I get that computationally it might be an issue, but I could see the smoothness of the curves outweighing the computational downside.

anup-h

Bezier curves interpolate smooth curves from meshes; even when using Bezier curves, we still need a data structure to keep track of all the vertices and edges. See https://cs184.eecs.berkeley.edu/sp20/lecture/7-83/geometry-and-curves for examples of Bezier curves and meshes used together

Are there formalized reasons for why mesh representations are preferable to Bezier Curves? I get that computationally it might be an issue, but I could see the smoothness of the curves outweighing the computational downside.

Bezier curves interpolate smooth curves from meshes; even when using Bezier curves, we still need a data structure to keep track of all the vertices and edges. See https://cs184.eecs.berkeley.edu/sp20/lecture/7-83/geometry-and-curves for examples of Bezier curves and meshes used together