The 2D shape sensing based on optical frequency domain Reflectometry (OFDR) is limited by the coherent noise and the spectral mismatch, and the shape sensing accuracy is seriously restricted with the chaotic and ghost peaks. In this work, we proposed an accuracy enhancement method for a 2D shape sensing based on OFDR system utilizing a median filter. The measurement principle of the OFDR is analyzed. Besides, the proposed method and the Frenet-Serret framework are demonstrated. The 2D shape sensing experiment configuration is set up. And a distributed static strain experiment is conducted to calibrate the strain-wavelength shift coefficient. Then, the proposed method is used for noise reduction of the Rayleigh backscattering wavelength offset. The experimental results show that the strain-wavelength offset coefficient is 1. 20 με / pm. At the length of 0. 5 m, the end errors decreased from 3. 08%, 0. 94%, and 0. 82% to 0. 80%, 0. 66%, and 0. 48%, respectively. It is shown that the 2D OFDR shape sensing accuracy can be improved by proposed method.