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A Fiber Optic Distributed Differential Displacement Sensor (FODDDS) that is temperature insensitive is modelled and experimentally verified to determine shape. Created using a steel tape, 9/125 μm single-mode fiber, and adhesive, the FODDDS can be used to determine the shape or displacement of any object to which it is attached. The sensitivity of the FODDDS, for the substrate thickness used in this experiment, is specified as a maximum measurable radius of curvature of 103 m. The error of the sensor is examined and the sources of this error are examined. The FODDDS is designed around a Brillouin Optical Time-Domain Analysis system, but is compatible with both correlation and frequency domain based systems.