In the comparison of HOSVD, PSMF, and FN-TC methods for reconstructing noisy and incomplete data composed of linear and parabolic common reflection axes, the following results were obtained: (a) a 3D subset of the original data after being preprocessed and fixed from the 5D dataset. (b) The input data with 60% missing traces and contaminated by −1 dB of random noise. (c) The reconstruction result using the HOSVD method, achieving a SNR of 20.9 dB with a processing time of 22 s. (d) The data residual between the result in (c) and the original data in (a). (e) The reconstruction result using the PSMF method, achieving an SNR of 22.9 dB with a processing time of 112 s. (f) The data residual between the result in (e) and the original data in (a). (g) The reconstruction result using the FN-TC method, achieving an SNR of 24.5 dB with a processing time of 34 s. (h) The data residual between the result in (g) and the original data in (a). Note that the color scale for data residual results (d), (f), and (h) ranges from −0.1 to 0.1, while the color scales for the other figures range from −1 to 1.