Abstract: To reduce noise of the image signals and image deconvolution problem, there is proposed recursive inverse (RI) adaptive algorithm for the two-dimensional adaptive filtering based on one-dimensional recursive inversion algorithm (RI). The proposed approach uses a variable step size and avoids the use of the inverse autocorrelation matrix in the coefficient update equation. The filter coefficients can be updated along both the horizontal and vertical directions on a 2-D plane. Simulation results show that the proposed 2-D RI algorithm leads to an improved performance compared to that of the 2-D RLS algorithm in an image deconvolution and an adaptive line enhancer problem setting.