So there is a primitive, or a number thereof; a primitive is a cuboid, a capsule or a sphere representing some simplified collision of an object. An example would be an apple simplified as a sphere, or a sword simplified as a cuboid.
It then is moved along a curve in 3D space; the primitives translate and rotate but don't change their scale. All the points where these any of the points of these primitives were along this curve forms some new shape; what would this shape be called and how can I analyze it?
I did utilize convex hull for this task but I'm sure there is another, more accurate and efficient representation of the shape created.