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Materials Science in Additive Manufacturing                             Super-resolution method for L-PBF




            Table 3. MAPE and RMSE of feature extraction and IoU of the different SR methods
            Networks          Area           Perimeter       Circularity     Aspect ratio  Average MAPE (%)  IOU
                         MAPE (%)  RMSE  MAPE (%)  RMSE   MAPE(%)  RMSE   MAPE(%)  RMSE
            Bicubic        58.89   342.06   24.35  31.28   16.63    0.128   15.54   0.231      28.85     0.661
            EDSR           70.90   396.89   74.81  81.68   42.35    0.318   15.96   0.237      51.00     0.616
            SRCNN          12.02   96.91    9.58   19.04   13.04    0.111   8.40    0.167      10.76     0.861
            FSRCNN         8.78    127.34   7.15   20.42    9.74    0.090   6.70    0.134      8.09      0.890
            VDSR           6.99    84.49    5.97   14.41    8.51    0.081   6.09    0.127      6.89      0.905
            RCAN (CA)      10.27   83.56    7.10   16.47    8.81    0.089   5.79    0.123      7.99      0.889
            RCAN (CBAM)    5.23    53.12    4.61   12.53    7.64    0.077   4.82    0.121      5.57      0.926
            RCAN (SENet)   7.63    78.08    5.22   13.29    7.97    0.081   5.14    0.131      6.49      0.912
            U-Net branch   4.79    52.78    4.63   11.63    8.67    0.080   4.98    0.122      5.77      0.925
            RCEN branch    3.82    56.94    4.14   12.50    7.19    0.072   4.51    0.122      4.92      0.935
            MPSR-Net       3.99    54.76    3.74   11.57    6.11    0.066   4.23    0.112      4.52      0.939
            Abbreviations: CA: Channel attention; CBAM: Convolutional block attention module; EDSR: Enhanced deep super-resolution network; FSRCNN: Fast
            super-resolution convolutional neural network; IoU: Intersection over union; MAPE: Mean absolute percentage error; MPSR-Net: Melt pool
            super-resolution network; RCAN: Residual channel attention network; RCEN: Residual channel with the efficient channel attention network;
            RMSE: Root Mean Square Error; SENet: Squeeze-and-excitation networks; SR: Super-resolution; VDSR: Very deep super-resolution network.

            4. Conclusion                                      Funding

            To overcome the hardware limitations of monitoring   This work was supported by the National Natural Science
            equipment and noise interference during the L-PBF   Foundation of China (Grant No.: 52175481) and the
            process, and obtain high-quality melt pool images, this   National Natural Science Foundation of China (Grant No.:
            paper proposes a dual-path melt pool SR reconstruction   52175528), and in part by the National Key Research and
            network. It is composed of RCEN and U-Net branches,   Development Program of China, the Chinese Ministry of
            considering the characteristics of melt pool images. The   Science and Technology (Grant No.:2018YFB1703200).
            network achieved high-performance melt pool image SR
            reconstruction through attention mechanisms and multi-  Conflicts of interest
            scale feature fusion, which ensures that high-frequency   The authors declare that they have no competing interests.
            information in the melt pool image is well captured and the
            overall morphology features of the melt pool are effectively   Authors’ contributions
            extracted. It could also effectively reduce blur and noise in   Conceptualization: Kunpeng Zhu, Xin Lin
            melt pool images. The PSNR of the network reached 36.13,
            and the SSIM reached 0.962. The results showed that the   Formal analysis: Xin Lin
                                                               Investigation: Kunpeng Zhu, Lei Wu
            proposed method not only performed well in traditional   Methodology: Yangkun Mao, Lei Wu, Kunpeng Zhu
            SR metrics but also achieved good results in melt pool
            feature extraction, with the average reconstruction error   Writing–original draft: Yangkun Mao, Lei Wu, Kunpeng Zhu
                                                               Writing–review & editing: Xin Lin
            of melt pool features at 4.52% and the IoU of melt pool
            contour reconstruction at 0.939. The network ensures that   Ethics approval and consent to participate
            after SR reconstruction, the accuracy of melt pool feature
            extraction can be improved by upgrading motion blur   Not applicable.
            and other issues in the LR image. This provides a feasible   Consent for publication
            method for low-cost monitoring of  in situ processes for
            software-based L-PBF.                              Not applicable.

            Acknowledgments                                    Availability of data
            The authors are grateful to FUH Ying Hsi Jerry of the   The raw/processed data required to reproduce these
            National University of Singapore for providing valuable   findings cannot be shared at the time of publication as the
            assistance.                                        data also forms part of an ongoing study.


            Volume 3 Issue 4 (2024)                         11                             doi: 10.36922/msam.5585
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