A fiber optic position and/or shape sensing device includes an optical fiber with either two or more single core optical fibers or a multi-core optical fiber having two or more fiber cores. In either case, the fiber cores are spaced apart so that mode coupling between the fiber cores is reduced, and preferably, minimized. The optical fiber is physically associated with an object. Strain on at least a portion of the optical fiber where it is associated with the object is determined by an OFDR using one or more Rayleigh scatter patterns for that portion of the optical fiber. The determined strain is used to determine a position and/or a shape of the object.