a) Illustration of a deflected needle separated in i-segments. Each segment is defined within its own (xi’,yi’,zi’) frame can then be expressed in the laboratory frame (x,y,z). b) Schematic of a (xi’,yi’,zi’) frame cross-section showing the angle between xi’ and the rotational axis (αi), the distance between the center of the fiber triplet and the rotational axis (ri) as well as the angle between each fiber (φijk), Figure adapted from [24].