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International Journal of Bioprinting                     In situ defect detection and feedback control with P-OCT



            A               B               C                  of FS and LT can be equivalent to the size of the major and
                                                               the minor axes of the ellipse. After interpolation, the points
                                                               PT GCode  of GCode nodes were transformed into an elliptic
                                                               upper surface, and the surface points PT S_GCode  (see the green
                                                               points) were compared with the material surface points
                                                               PT S_P-OCT  (see the purple points) generated from 3D P-OCT
                                                               data, as shown in Figure 2C. After registration, the material
            D                      E                           points PT    and GCode nodes PT    were projected
                                                                                              GCode
                                                                       S_P-OCT
                                                               onto the XY plane. For each GCode node in the XY plane
                                                               PT xy_GCode  (i), the nearest point in the material points PT xy_S_P-
                                                                  (i) was determined, and the nearest distance between
                                                               OCT
                                                               the nearest point pair was recorded as follow:
                                                               Dis () =  PT        i () −  PT      i ()    (1)
                                                                     i
                                                                  xy
                                                                                         xy SP OCT−_ _
                                                                           xy GCode_
                                                                                                     ° 2
            Figure 3. Filament size (FS) quantification based on three-dimensional   With the XY coordinate of PT xy_S_P-OCT  (i), the
            extrusion-based bioprinter-associated optical coherence tomography (3D   corresponding point in 3D space PT   (i), t was found,
                                                                                            S_P-OCT
            P-OCT). (A) 3D P-OCT data of the single filament and the corresponding   and Z coordinates were recorded as the LT value z
            physical photo. (B) The cross-section image corresponding to the white                       PTP-OCT
            dot line  in (A). (C)  The binarized  result of the  cross-section image.   (i) at the i  point. Considering that there might be broken
                                                                       th
            (D) Euclidean  distance  transformation  results  of  the  binarized  image.   filament defects, the LT value was defined based on the
            (E) FS distribution of the single filament.        mean distance Mean_Dis  and standard deviation δ_Dis
                                                                                                            xy
                                                                                   xy
                                                               of Dis  as follows:
            10 min, the paste was transferred to a syringe for printing.   xy
            In Figure 3A, the 3D P-OCT data of the printed filament      Mean Dis_  xy  =  Point xy GCode_  − Point xy POCT_ −
            and the corresponding physical image are displayed. The                                        ' 2
            cross-sectional image corresponding to the white dotted                                        (2)
            line is shown in  Figure 3B and the binarized result is
            shown in  Figure 3C. After binarization and inversion,          ∑  N  (            _ Dis ) 2
                                                                                       i
                                                                                     xy
            Euclidean distance transformation of the 3D P-OCT data      _ Dis =  i=1  Dis () − Mean  xy      (3)
            was performed, as shown in Figure 3D. The FS value can     xy               N −1
            be expressed as 2 times the maximum value of Figure 3D,          ()
                                                                     
            and the FS distribution of the entire filament is shown in   LT =  z   Point POCT−  i Dis () <,  xy  i  Mean Dis +_  xy  3  _ Dis xy
                                                                  i ()
                                                                                 i))
            Figure 3E. As shown in Figure 3E, the FS values at the start-     , 0  Dis ( > Mean Dis xy  + 3  _ Dis xy
                                                                                         _
                                                                               xy
            stop points were larger, and the FS values at the middle
            straight segment were relatively uniform.                                                      (4)
                                                                 When  the  above  LT   was  zero,  the  corresponding
                                                                                   (i)
            2.3.2. LT                                          position indicated a broken filament defect. When LT  was
                                                                                                         (i)
            In the previous work, the LT calculation was focused on the   nonzero, it was the calculated LT value of the corresponding
            actual material deposition height, which was not suitable   position. For the printed filament in  Figure 2A, LT can
            for LT defect analysis and broken filament defect detection   be presented with a pseudo-color in the XY plane, as
            and repair. Here, a 3D design model was generated based   shown in  Figure 2D. At the starting point, the LT value
            on the GCode information and the LT defect was identified   was determined to be zero when there was no material
            by comparing the 3D P-OCT data with the design model.   deposition, due to to the pressure response hysteresis.
            Considering that the GCode path mainly contained
            key input nodes, where the pressure or velocity input   2.3.3. Fidelity quantification
            parameters changed, the spatial resolution of the GCode   In addition to FS and LT analyses, fidelity analysis can
            nodes was much lower than that of the 3D P-OCT data.   provide a final estimation of the consistency between the
            To maintain the same resolution as that of 3D P-OCT, the   construct and the designed model, which can be applied
            GCode nodes were first linearly interpolated. The nodes of   to each layer during the printing process and the overall
            the GCode path are shown in Figure 2A  and  B before and   construct after printing. During the printing process, the
            after interpolation. Based on the ellipse equivalent model   construct structure of each layer can be reconstructed
            proposed by Simeunović and Hoelzle , the design values   using 3D P-OCT data, and the fidelity value can be
                                          [13]

            Volume 9 Issue 1 (2023)                         51                      https://doi.org/10.18063/ijb.v9i1.624
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