With the extension of seismic exploration to development, the quality of seismic data is becoming increasingly important. However, the technologies such as efficient acquisition with controllable seismic sources are limited by surface conditions, resulting in strong irregular energy interference, low signal-to-noise ratio, and no appropriate solution for obtaining the better near offset seismic traces. The existing polynomial fitting method is a method for improving signal-to-noise ratio while maintaining resolution after stacking, but its application to prestack seismic data is still limited due to the quality requirements of the data for prestack inversion. The high-order amplitude preserving Radon transform can effectively reconstruct missing seismic traces, but its application efficiency is limited. Considering the approximate formula of the Zoeppritz equation for the reflection coefficients of PP and PS waves, it can be expressed in power series form. The reflection coefficients of PP waves are approximately even polynomials, and the reflection coefficients of PS waves are approximately odd polynomials. Based on the approximation of the reflection coefficients of PP waves and PS waves, an odd or even polynomial coefficient equations are constructed within the preset incident angle range. The odd or even polynomial coefficients are obtained using the least squares fitting method, and the seismic traces involved in the fitting are continuously updated by a stepwise elimination fitting method. The polynomial coefficients of the prestack seismic traces are then continuously updated to gradually enhance the effective reflection signal of the near offset region. The analysis results of the model data indicate that the fitting accuracy of the reflection coefficient approximation formula is significantly higher than that of polynomial fitting, and the use of the mid offset traces can effectively reconstruct the reflection signals of the near offset seismic traces. Actual data also shows that it can effectively enhance the near offset seismic signal, improve and enhance the quality of the near offset seismic data.