AI-Aided Printed Line Smearing Analysis of the Roll-to-Roll Screen Printing Process for Printed Electronics

Screen printing has been adopted for fabricating a wide variety of electronic devices. However, the printing defects and reliability have been an obstacle for industrialization of printed electronics. In this research, the artificial intelligence (AI) model was developed and integrated with the in-house roll-to-roll screen printing system to detect smearing defect, which is one of the main defects of screen printing. The U-Net architecture was adopted, and a total of 19 models were designed with model sizes ranging from 8E + 3 to 3E + 7 number of parameters. Their performances as validation mean Intersection over Union (IoU) were analyzed, and the optimal model was chosen with a validation mean IoU of 95.1% and a number of parameters of 8E + 6. The printed line images were evaluated by the AI model for various printing conditions, such as printed line widths, printing paste premixing, printing speeds, and printed line directions, which showed that the model could effectively detect the smearing defects. Also, the AI model capabilities were investigated for repeated printing, which demonstrated that it can be used for the reliability assessment of the screen printing process.


Introduction
The growing demand for green manufacturing technologies for electronics has fueled interest in printing technologies. While photolithography is a conventional manufacturing technology that generates a lot of waste and has many process steps, printing processes [1] are eco-friendly methods for manufacturing electronics because they simplify the production steps, reduce material waste, and are carried out in the ambient atmosphere rather than in vacuums or inert gases. Additional, new functional requirements for electronics have favored roll-to-roll manufacturing using flexible film substrates, reducing the weight and thickness of the devices while adding flexibility that gives new perspectives for its applications [2] and satisfying a mass-production demand.
The screen printing process consists of the following steps: ink spreading, squeegee printing, screen mask snap off, and sintering. Initially, the screen mask is set up with the gap for the substrate, and the scrapper spreads the ink uniformly along the printing screen mask. Then, the squeegee 1 3 pushes the screen mask toward the substrate and, while moving laterally, forces the ink through the screen mesh. In the area behind the moving squeegee, the screen mask snaps off from the substrate due to mesh tension, and the ink is left on the substrate and ready for sintering. The principal scheme of the screen printing process is shown in Fig. 1a.
Defect-free and reliable printing result is critical for the mass production and industrialization of screen printing in the field of printed electronics. These may be enhanced by controlling the screen printing process [19] and printing paste [20]. The repeated printing can be analyzed by the reliability assessment, which may help to reveal the faulty regimes with poor printing quality [21,22]. During screen printing, printing defects may happen, in particular, the smearing of the printed lines, which may cause the exaggeration of line width. The printing paste with lower viscosity has a higher risk of smearing defects because it can contaminate the backside of the screen mask more easily than the more viscous printing paste. Also, the phase separation effect in the printing paste due to storage can be effectively mitigated by printing paste premixing leading to a reduced probability of the smearing defect occurrence.
To effectively assess the reliability of the screen printing process, the captured image of the printed line should be analyzed for detecting defects. Conventional approaches [23] involve comparison methods such as template matching and other image processing techniques to extract relevant information for assigning defective areas. These methods are fast but require a reference image, template alignment and may have recognition errors if image capturing conditions change. In this regard, AI approaches [24] became an attractive field in machine vision, and deep neural networks (DNN), including the image classification, object detection, and image segmentation, can solve complex tasks in defect detection. Depending on the size of the inspected area and the type of the defect, the assessment may be a defect classification using the whole image or image patches [25], a local defect detection or localization [26,27], and a continuous or irregular shape defect image segmentation [28]. These DNN methods mainly require supervised training using a custom-built data set with the images of the defects and corresponding labels. The image classification models are suitable for predicting whether the defects are presented in the captured image. However, if a quantitative assessment is required, the object detection AI models, which output defects count and position, are preferable. If the defects are non-separable, object detection use is inappropriate, and the whole image should be segmented pixel-wise. One of the most popular DNN segmentation models is U-net [29], initially used in the bio-medical field, known for requirements of larger image sizes with highly detailed images for segmentation and precise segmentation accuracy. In this model, the problem of the spatial information loss is addressed by utilizing encoder-decoder architecture. Encoder, with help of pooling, gradually compresses the original image into lower resolution but with higher channel depth, and the decoder is trying to reconstruct the original image by upsampling it to the original size.
This study aims the development of AI model for detecting smearing defect during screen printing, integrated with the in-house roll-to-roll screen printing system as green manufacturing technology. The U-net architecture for segmenting printed line images was adopted and optimized, and the performance of the AI model was analyzed for various printing conditions.

R2R Screen Printing Equipment
The printing experiments were done using the in-house rollto-roll screen printing system capable of precise tension and registration control. It consists of the following units: a web transportation unit, including unwinder, web guiders, in-feeder, out-feeder, rewinder, idle rollers, load cells to measure tension, and web cleaner and deionizer; screen printing unit, including substrate stage, alignment camera stage, X-Y-Θ stage, screen mask stage; and drying and sintering unit, including heat sintering chambers with a heat plate and hot air generator. The design process of the roll-to-roll web transportation unit and the alignment process during screen printing were described in  Fig. 1 a The roll-to-roll (R2R) screen printing process, and b R2R screen printing equipment quality control cameras position previously published papers [30,31]. Additionally, this system was equipped with two charge-coupled device (CCD) cameras placed right after the screen printing unit with a resolution of 1280 × 1024 (width × height), one-pixel size of 2.725 µm/pixel, and field of view 3.5 × 2.8 mm (width × height) as shown in Fig. 1b. After each printing session, the two images were captured and processed for printed line smearing area measuring.

Screen Printing Mask Design
The screen mask for printing was designed as shown in Fig. 2a. It contains lines with widths from 50 to 200 µm with 500 µm pitch and various angles to the squeegeeing direction. The design was produced on the screen mask with 325 lpi stainless steel mesh with a thickness of 58 µm and an emulsion layer with a thickness of 14 µm mounted onto a 650 × 650 mm aluminum frame.

Screen Printing Paste
The FTL-6010S (FP Co. Ltd.) silver printing paste for fine pattern screen printing was used. It contains 0.3-3 µm silver flake particles with polyester binder, and ethyl cyanoacrylate (ECA) solvent. The declared printing paste viscosity η is 47.87 Pa s (at 50 1/s shear strain rate) and the thixotropy is 2.35 (at 5 1/s and 50 1/s shear strain rate ration). The rheology of the printing paste was measured by the Thermo Scientific HAAKE MARS III (Rheology Solutions Pty Ltd.) rheometer equipped with a parallel plates measuring geometry tool. The lower plate was 35 mm in diameter (TMP35) and the upper plate 35 mm in diameter with a shaft (P35 Ti L) and a 1 mm gap in between them. The measurements of the viscosity η and shear stress τ were done under a constant temperature of 20 °C, shear strain rate γ̇ from 0.0001 to 500 1/s, and an ascending and descending time of 90 s each (Fig. 3).

Screen Printing Process
To investigate the smearing effect at various printing conditions, the printing sessions were performed, which consisted of 200 consecutive prints with a tact time of 60 s. Using the ARE-310 (THINKY U.S.A., Inc) planetary mixer, the printing paste was premixed, which includes the mixing step of 30 s at 2000 rpm and degassing step of 30 s at 2200 rpm. The nonpremixed paste was used as-is from the storage container. Besides various printing speeds, the other printing conditions were fixed as follows: the printing gap was set to 3 mm, the printing load was 13.2 kgf. The squeegee (Unitex ® Ulon HP 500/9) with D-cut with Land profile (1 mm Land width) made of NDI (Naphthalene Diisocyanate) and hardness 80°-85° (Shore A°) was 300 mm in width. As a substrate, clear polyester (PET) film XG7AH7 (Toray Advanced Materials Korea, Inc.) with a thickness of 125 µm and width of 300 mm was used with a tension of 3 kgf. Web feeding was performed at a length of 200 mm. Sintering was secured by the drying and sintering unit at temperatures of 150 °C for the heat plate and 220 °C for the hot air blower. The screen printing parameters are summarized in Table 1.

Line Smearing Assessment Using AI Semantic Segmentation Model
To investigate the printed line smearing effect, the deep convolutional neural network was built and trained using a custom data set.

Data set
The data set was composed of printed line images with and without smearing (Fig. 4a) and a corresponding label image with areas labeled as smearing, printed line, and background, shown as black, gray, and white areas (Fig. 4b).
In total, 20 original printed line images were labeled and split into training and validation data sets, with 15 images (75%) for training and 5 images (25%) for validation. Before training, the label images were one-hot encoded so the vectors [1, 0, 0], [0, 1, 0], [0, 0, 1] correspond to smearing, printed lines, and background areas respectively. To prevent overfitting during training, the images and label images were augmented using the following effects: horizontal and vertical flip, rotation, brightness and contrast adjustments, and Gaussian blur [32].

Model Architecture and Learning Process
The DNN model concept of the U-Net model was adopted, and the model architecture is shown in Fig. 5. It contains encoder and decoder parts that are linked by skip connections to prevent the loss of spatial information during upscaling. Initially, the model was set up to input the original image from the camera with the dimensions 1024 × 1280 × 3, which was then scaled to a range of   [33] to improve feature reconstruction when upsampling and a concatenation layer and dropout layer. The concatenation layer connected the output of each downsampling level of the encoder with the corresponding feature level of the decoder by concatenating ReLU activation outputs with Conv2DTranspose outputs to preserve spatial information, which would degrade with the model's depth. The output layer consisted of a Conv2D layer with three filters and the softmax activation function, which is commonly used for multiclass classification, where each pixel should be classified as belonging to a single class. The output of the model has the shape 1024 × 1280 × 3, composed of a 1024 × 1280 pixel grid and 3 one-hot encoded predicted labels.
Initially, the categorical cross entropy was used as a loss function, and it was modified with precalculated weights based on the class imbalance of the training data set. However, focal loss [34] showed better convergence and did not require the explicit calculation of weighting coefficients. It handled misclassified examples by down-weighting easy-toclassify examples so that the gradient was generated mainly by hard-to-classify examples.
The mean IoU metric, which better shows the performance of the segmentation with a class-imbalanced data set, was used to evaluate the model. The learning process is shown in Fig. 4d, and the result is shown in Fig. 4c. Table 2 contains the model hyperparameters summary.
The model architecture utilizes padding in convolutional layers to keep the dimensions of the output predictions the same as input images. Network sizes with various depths and number of filters in convolutional layers were trained, and their performances as validation data set mean IoU were summarized in Fig. 4e. Totally 19 models were analyzed with model depths from 5 to 11 convolutional blocks and with 4-5 model sizes for each model depth by doubling the number of filters in each convolutional layer (Table 3). For    Horizontal and vertical flip Random rotation with a range of ± 90°B rightness and contrast with a range of ± 0.2 Gaussian blur with a kernel size range of [10][11][12][13][14][15] 94.1% performances correspondingly. As the total number of parameters increases, the validation mean IoU of the trained model improves without sights of overfitting, suppressed by heavy augmentation and dropout performed. The models with seven, nine, and eleven-block depths have a similar trend to the five-block models but with a smaller gap in validation mean IoU among the model sizes. While there is a slight fluctuation in the performances of the similar size networks, it is negligible due to the randomness of the weights initialization, which affects the convergence of the model at every training attempt. The further increase of the model depth does not contribute to the model performance, however may become a bottleneck due to exponentially increased computational burden and thus the time required during inference and dedicated GPU memory. Even shallower networks have reached sufficient performances comparable to the models with deeper architectures, so the optimal size of the DNN network for printed defect segmentation lies in the range of 2E + 6 to 8E + 6 parameters. While training smaller models, the initial dropout rate of 0.5 implemented for deeper models was too high, which affected their performance or even prevented the smaller models from convergence during training, and should have been reduced. Also, some larger models with the initial convolutional block with 64 filters required the batch size to be reduced from 5 to 2 images per batch due to the GPU memory exhaustion. Based on the discussion above, the nine-depth model with 32-64-128-256-512-256-128-64-32 filters combination was chosen, which has a competitively high performance and a reasonable number of parameters, 95.1% and 8E + 6 respectively.

Model Integration with the Screen Printing System
The screen printing smearing detection model was deployed on a computer integrated with the roll-to-roll screen printing system through an Ethernet connection, as shown in Fig. 6a, b. While obtained images of printed lines were saved onto the network drive in the computer with the AI model, the python script was segmenting the images and calculating the relative area for each label: background, printed line, and smearing. This data is then sent to the roll-to-roll screen printing system.  the smearing defect depending on the line widths (Fig. 7a), printing paste premixing conditions (Fig. 7b), printing speeds (Fig. 7c), and printed lines directions (Fig. 7d). For the various line widths (Fig. 7a), the smearing was estimated as 11.6%, 19.9%, and 19.7% for 50 µm, 75 µm, and 100 µm, respectively. For the paste premixing conditions (Fig. 7b) Screen prinƟng unit Cameras 1,2 b) a)

Unwinding unit
Sintering unit Fig. 6 The printed lines smearing detection model integration: a the in-house roll-to-roll screen printing system, and b the integration scheme of the AI model  (Fig. 7c), 19.9%, 0.0%, and 0.0% were calculated for the 10 mm/s, 50 mm/s, and 100 mm/s printing speeds. The smearing defect for the cross-directional and machine-directional printed lines (Fig. 7d) was measured at 20.5% and 3.2%, respectively. The smearing defect occurs more for wider printed lines, and the smearing for the premixed paste is reduced compared to the nonpremixed paste. The smearing for the machine-directional printed lines is lower than the cross-directional printed lines.
With the printing speed increase, Even though the smearing defect was almost zero at the 100th time print for 50 mm/s and 100 mm/s printing speeds, a different kind of defect, the bulge defect [27], occurred. The smearing data were obtained for sequential printing using the chosen AI segmentation model, as shown in Figs. 8 and 9, for cross-directional and machine-directional printed lines correspondingly. Figure 8 shows that the smearing region occurs at the beginning of the printing and builds up until the saturation point. The saturation point was estimated using an exponentially weighted moving average with averaging window of 10 prints, which corresponds to the parameter α = 0. (18) . The maximum values were taken and shown in Fig. 10. The highest saturation of smearing defect for 100 µm cross-directional 8% for nonpremixed and premixed printing pastes correspondingly (Fig. 10a). The saturation points for 50 µm and 75 µm cross-directional lines were reduced from 13.3% and 21.4% to 3.2% and 8.6%, correspondingly, by printing paste premixing. As for machine-directional lines, the maximum saturation point of 5.6% was reached for 100 µm line width, which is comparably lower than for 100 µm width cross-directional lines, and after premixing, it was reduced to 0.6%, while for 50 µm and 75 µm line widths, the smearing was almost eliminated. The smearing area build-up for premixed paste is slowed down and took 50 prints to saturate, while for nonpremixed paste, it reached the upper level after several prints. Figure 11 shows that premixing significantly improved smearing for 50 µm and 75 µm line widths, while for a 100 µm line width, the improvement was reduced and based mainly on the smearing build-up rates decrease. The smearing area criterion can be used for adjusting the printing process to keep the printing conditions in the safe operating window, which can be selected based on the layout design or other factors. Alternatively, it can optimize the number of screen mask cleaning operations which can reduce a burden on the environment.

Conclusion
As one of the green manufacturing technologies for flexible and printed electronics, the roll to roll screen printing process has drawn attention. In this study, the AI model was developed to detect smearing defects during the screen printing process. The U-Net architecture was adopted for segmenting the printed line images into three classes: smearing, printed line, and background. Totally 19 models were analyzed with model depths from 5 to 11 convolutional blocks and 4-5 model sizes ranging from 8E + 3 to 3E + 7 number of parameters. The semantic segmentation DNN models were trained during 2000 epochs using a labeled data set of printed line images with the smearing defect, and their performances were evaluated by validation mean IoU. The DNN model with nine-block architecture and the 32-64-128-256-512-256-128-64-32 numbers of filters per block was chosen with the validation mean IoU and number of parameters 95.1% and 8E + 6, respectively. The DNN model was tested on the printed line images under various printing conditions, such as printed line widths, printing paste premixing, printing speeds, and printed line directions, which showed that it could detect the smearing defects effectively. The smearing area was determined using the segmentation results by the summation of the corresponding pixels.
The AI model was also tested for repeated printing and can be used for reliability assessment of the screen printing process. We expect that the research on the AI model for roll to roll screen printing would have a strong impact on the mass production of electronics having fine-line screen printed patterns and further accelerate the market commercialization of this eco-friendly manufacturing process.