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


            obtained by comparing the reconstructed result with   to the red line in Figure 5C, a cross-sectional image is
            the design model of the current layer. The overall   displayed in  Figure 4D. With the 3D P-OCT datasets
            fidelity value was obtained by comparing the overall   of the pre-experiment, FS and LT with different
            reconstructed results with the overall design model.   pressure and velocity inputs are analyzed and plotted in
            An ideal 3D design model  PT 3D_GCode  can be obtained   Figure 4E  and F, respectively. When the acceptable FS
            by traversing the interpolated GCode with the above   range was 0.48 ± 0.10 mm and the acceptable LT range
            elliptic model. After 3D registration of the design model   was 0.33 ± 0.10 mm, suitable pressure and velocity
            PT 3D_GCode  and the reconstructed result PT P-OCT , fidelity   input group can be obtained, as displayed in Figure 4G
            can be calculated using the following formulas:    with the green boxes. Furthermore, the surface fitting
                   MatchPT (  POCT−  i (), PT 3 DGCode_  ( i ) =)  functions of FS and LT can be generated using the
                                                               above data with the corresponding material and needle
                    1  DisPT (  POCT−  (),   (ii)) <         conditions, as follows:
                                  i PT
                   
                     DisPT (          3  DGCode_       (5)
                                  i PT,
                   0        POCT−  ()  3  DGCode_  i ()) ≥    FS     m P=  1  3  +    m VP +  2  2  m V P +  3  2    m V +  4  3  m P 2     m VP+  6
                   
                                                                                                  5
                                                               
                     1    N  MatchPT (                              m V+  7  2  +  m P      mV+  9  +  m 10
                                                                          8
            Fidelity =  ∑                 ()          ( i ) )    
                                           i PT,
                     N    i=1        POCT−     3 DGCode_        LT     n P=  1  3  +    n VP + 2  2  n 3 .*V P n V+  2     4  3  +  n P 2     n VP+  6
                                                                                                  5
                                                        (6)         2
                                                                +    n V + 7  n P      nV+  9  +  n 10
                                                                         8
              Where PT P-OCT  (i) is the point in the reconstructed
            model, and PT 3D_GCode  (i) is the point in the design model.                                  (7)
            δ is the distance threshold used to judge the matching   where  V represents the velocity,  P represents the
            success rate between PT P-OCT  (i) and PT 3D_GCode  (i) and N   pressure, m , m , … , m  are coefficients to be solved in the
                                                                                 9
                                                                           2
            was the point number in PT 3D_GCode.  This ratio indicates the   function of FS, n , n ,… n  are coefficients to be solved in
                                                                        1
                                                                             1
            degree of fidelity.                                the function of LT. The two fitting surfaces are shown in
                                                                               2
                                                                                    9
            2.4. Pre-built feedback mechanisms                 Figure 4H and I. The optimum pressure and velocity inputs
                                                               were 0.24 MPa and 11 mm/s for the target FS (0.48 mm)
            2.4.1. Defects in the straight path and feedback   and LT (0.33 mm), respectively.
            mechanism
            In the straight path section, FS and LT may be     2.4.2. Defects of end points and feedback mechanism
            inconsistent with the designed values, which is mainly   There were material deposition errors at the start-stop
            related to the rheological properties, input pressure,   points, as shown in Figure 5A. The left part shows the 3D
            and velocity. According to the rheological properties   P-OCT results, and the right part shows the registration
            of the target material and the target FS and LT values,   results of the design model based on GCode nodes and 3D
            the feedback mechanism was built through a pre-    P-OCT results. There was no material deposition within a
            experiment.  For  example,  when  the  target  material  is   certain distance from the theoretical path starting point
            Hap with the target FS (0.48 mm) and LT (0.33 mm),   (red dotted line in  Figure 4A), and too much material
            a nozzle with the inner diameter of 0.41 mm was    deposition occurred at the actual path starting point.
            selected with different pressure and velocity inputs for   Excessive material deposition also occurred at the end of
            pre-experiment. Specifically, the pressure range was   the path. Armstrong et al. calculated the hysteresis time
            set at 0.22 – 0.32 MPa with the interval of 0.02 MPa,   by combining the length of the material-free deposition
            and the velocity range was set at 6 – 13 mm/s with the   at the start point with the printing speed . According
                                                                                                  [18]
            interval of 1 mm/s. Parts of the printing paths and   to the rheological properties of the above target material,
            the corresponding input parameters are displayed in   the target FS and LT values, the optimum pressure, and
            Figure 4A. The length of each filament was set as 8 mm   velocity inputs of 0.24 MPa and 11 mm/s were selected
            and the overall field was within 19 mm × 19 mm in X-Y   for the response hysteresis pre-experiment. Using the Hap
            plane, which can be imaged with the wide field function   material and printing speed, an average 14.926 mm of
            of 3D P-OCT. With different combinations of pressure   material deposition length was printed when the designed
            and velocity, the pre-experiment was repeated five   length was 16 mm. Therefore, a corresponding hysteresis
            times and the printed results are shown in Figure 4B.   time of 98 ms was calculated. The corresponding results
            Figure 4C shows the 3D P-OCT result corresponding to   after  compensation are shown in  Figure 5B; however,
            the group in the red box in Figure 5B. Corresponding   there were still FS and LT errors (Figure 5B-D). To avoid


            Volume 9 Issue 1 (2023)                         52                      https://doi.org/10.18063/ijb.v9i1.624
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