A system and methods are disclosed for producing components via additive manufacturing. In one embodiment, a three-dimensional geometry is sliced using a slicing plane to obtain a first two-dimensional geometry. A first polyline is generated based on a first skeleton of the first two-dimensional geometry, and a first slender body is generated based on the first polyline. The first slender body is subtracted from the first two-dimensional geometry to obtain a second two-dimensional geometry. A second polyline is generated based on a second skeleton of the second two-dimensional geometry. A first bundle of fibers is produced based on a segmentation of the first polyline and a second bundle of fibers is produced based on a segmentation of the second polyline. A component is produced from the first and second bundles of fibers using an additive manufacturing process.