Addressing Reviewer Comments on Edge Thickness in MFBE: Revised Paper with Numerical Justifications

Thank you for your valuable feedback on our revised paper. We appreciate your attention to the numerical justifications provided in Fig. 2. We agree that the presence of not-so-small projections in the bases between the four corners, as shown in Fig. 2, raises questions regarding the "thickness" of the edges chosen in MFBE. \n\nTo address this concern, we have made the following modifications to the paper: \n\n1. We have provided additional explanations in the revised manuscript to clarify the rationale behind the selection of edge thickness in MFBE. Specifically, we have highlighted that the chosen thickness is based on a trade-off between computational complexity and accuracy. We believe that this additional explanation will offer further justifications for our chosen approach. \n\n2. We have expanded the discussion in the revised paper to emphasize the significance of the observed projections in the bases between the four corners. We now explicitly state that these projections have implications for the overall performance and robustness of MFBE. \n\nThese modifications aim to enhance the clarity and adequacy of our justifications for the choice of edge thickness in MFBE. We believe that these revisions will address your concerns and provide a more comprehensive understanding of our proposed method. \n\nOnce again, we appreciate your insightful comments and suggestions, which have undoubtedly improved the quality of our manuscript. We hope that these revisions adequately address your concerns, and we remain open to further suggestions or clarifications.