A Study on Soot and Ash Accumulation Characteristics of Diesel Particulate Filter Substrate Using Nondestructive Computed Radiography X-ray Imaging Technique

The diesel particulate filter of a diesel engine is an after-treatment device that removes particulate matter from exhaust emissions by filtering and oxidating them through a regeneration process. When the diesel particulate filter is damaged, a vehicle inspection is usually performed; if the cause is not found through using on-board diagnostics, then the diesel particulate filter is removed, and a visual test is conducted. However, it is not easy to find the exact cause of the diesel particulate filter being damaged, and a visual test takes a long time as the diesel particulate filter substrate is covered by a canister. In this study, using the computed radiography X-ray imaging technique, X-ray images were taken after placing an accumulated amount of carbon powder, similar to soot and ash powder in the substrate. Results confirmed that carbon powder and ash powder were shown in white in X-ray images, leading to a conclusion that distinguishing between carbon powder and ash powder is possible by analyzing the pixel value through the image processing technique. However, since pixel values alone are insufficient for exact quantitative evaluation, various studies and analyses are necessary for quantitative evaluation.


Introduction
Nanoparticulate matter among air pollutants is a growing environmental concern worldwide. A data book on automotive particulate matter (PM) reduction published by the National Assembly of the Republic of Korea indicates that diesel vehicles account for 29 percent of the total PM emissions in the Seoul Metropolitan Area, followed by construction equipment (accounting for 22 percent). These results signify that diesel engines are responsible for more than half of PM emissions in the Seoul Metropolitan Area [1]. A few years ago, research studies reported poorer performance of the after-treatment device due to an increase in the driving mileage of in-use vehicles [2,3]. Furthermore, concerns are being raised over air pollution triggered by aged diesel vehicles and construction equipment without after-treatment devices. Against this backdrop, stronger controls and regulations are being imposed, as manifested in the following measures. Firstly, government-backed projects for attaching after-treatment devices, such as the diesel particulate filter (DPF), to aged diesel vehicles are being pursued. Secondly, retrofit attachment projects of PM-NOX simultaneous reduction devices for Euro-4 heavy-duty diesel vehicles or those subject to lower standards are being done. Lastly, maintenance regulations for diesel vehicles are being enforced [4].
The DPF is a device that prevents PM from being exhausted into the atmosphere by filtering the matter generated from diesel vehicles, and the substrate inside the DPF serves as a filter. Once a certain amount of soot is accumulated after being filtered by the  Besides that, there are computed tomography (CT) X-ray methods. Since the CT Xray method takes 360° of an object, it is possible to obtain an accurate image. Therefore, Waseda University and the National Institute of Advanced Industrial Science and Technology in Japan conducted a study on the transfer and accumulation of ash based on images taken using the CT X-ray imaging technique ( Figure 2) [11,12]. Furthermore, Korea University identified the length and shape of ash employing the CT X-ray imaging technique ( Figure 3) [13]. However, CT X-ray equipment is expensive, and removal is inevitable when taking DPF. Accordingly, the CT X-ray method takes a lot of time to take a DPF. On the other hand, the DPF installed under vehicles was estimated to be able to take an image in a short period of time using portable CR X-ray equipment and flexible IP without its actual removal. Accordingly, a study was conducted to measure the damaged DPF using the CR X-ray imaging technique [14]. As the CR X-ray imaging technique photographs an object unidirectionally, there are no research studies applying the technique on vehicles, as it has limitations in obtaining a highly clear image required to identify characteristics of ash accumulation on each channel of the substrate. In this study, Image J software (capable of image processing and analysis) was used, and the accumulation of soot and ash was analyzed based on the pixel values obtained through the histogram function.  Besides that, there are computed tomography (CT) X-ray methods. Since the CT X-ray method takes 360 • of an object, it is possible to obtain an accurate image. Therefore, Waseda University and the National Institute of Advanced Industrial Science and Technology in Japan conducted a study on the transfer and accumulation of ash based on images taken using the CT X-ray imaging technique ( Figure 2) [11,12]. Furthermore, Korea University identified the length and shape of ash employing the CT X-ray imaging technique ( Figure 3) [13]. However, CT X-ray equipment is expensive, and removal is inevitable when taking DPF. Accordingly, the CT X-ray method takes a lot of time to take a DPF. On the other hand, the DPF installed under vehicles was estimated to be able to take an image in a short period of time using portable CR X-ray equipment and flexible IP without its actual removal. Accordingly, a study was conducted to measure the damaged DPF using the CR X-ray imaging technique [14]. As the CR X-ray imaging technique photographs an object unidirectionally, there are no research studies applying the technique on vehicles, as it has limitations in obtaining a highly clear image required to identify characteristics of ash accumulation on each channel of the substrate. In this study, Image J software (capable of image processing and analysis) was used, and the accumulation of soot and ash was analyzed based on the pixel values obtained through the histogram function. Besides that, there are computed tomography (CT) X-ray methods. Since the CT Xray method takes 360° of an object, it is possible to obtain an accurate image. Therefore, Waseda University and the National Institute of Advanced Industrial Science and Technology in Japan conducted a study on the transfer and accumulation of ash based on images taken using the CT X-ray imaging technique ( Figure 2) [11,12]. Furthermore, Korea University identified the length and shape of ash employing the CT X-ray imaging technique ( Figure 3) [13]. However, CT X-ray equipment is expensive, and removal is inevitable when taking DPF. Accordingly, the CT X-ray method takes a lot of time to take a DPF. On the other hand, the DPF installed under vehicles was estimated to be able to take an image in a short period of time using portable CR X-ray equipment and flexible IP without its actual removal. Accordingly, a study was conducted to measure the damaged DPF using the CR X-ray imaging technique [14]. As the CR X-ray imaging technique photographs an object unidirectionally, there are no research studies applying the technique on vehicles, as it has limitations in obtaining a highly clear image required to identify characteristics of ash accumulation on each channel of the substrate. In this study, Image J software (capable of image processing and analysis) was used, and the accumulation of soot and ash was analyzed based on the pixel values obtained through the histogram function.

X-ray System
An X-ray is generated in a vacuum tube, called an X-ray tube. There are anode and cathode enveloped in the X-ray tube. The cathode is a filament made of tungsten and emits thermal electrons when heated by the current. When a high voltage is applied to the anode, electron current of the cathode is transferred at a high velocity towards the anode and made to collide with the target made of tungsten and molybdenum, releasing X-rays.

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Tube voltage: Tube voltage refers to a high voltage applied to the anode to generate X-rays in the X-ray tube, and its size determines the size of photon energy of the Xrays. Therefore, in case the tube voltage is low, it cannot sufficiently transmit an object, deteriorating the image quality. Conversely, a high tube voltage leads to an excessive amount of X-ray penetrating the object, reducing the contrast of the produced image. Therefore, an adequate level of tube voltage should be determined according to the type of object in use.

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Tube current: Tube current means a current flowing from anode to cathode, and its size determines the number of photons. The quantity of tube current is expressed in the unit mAs, which is generated by multiplying the tube current (mA) by the exposure time (s). Depending on the type of object, an appropriate level of tube current should be set to reduce the noise in images.
This study was able to obtain proper DPF substrate images using GXR-S of DRGEM Co., Ltd. in Gyeonggi-do, South Korea, which is generally used in medical fields. The specifications of the X-ray generator are shown in Table 2.  An X-ray is generated in a vacuum tube, called an X-ray tube. There are anode and cathode enveloped in the X-ray tube. The cathode is a filament made of tungsten and emits thermal electrons when heated by the current. When a high voltage is applied to the anode, electron current of the cathode is transferred at a high velocity towards the anode and made to collide with the target made of tungsten and molybdenum, releasing X-rays.

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Tube voltage: Tube voltage refers to a high voltage applied to the anode to generate X-rays in the X-ray tube, and its size determines the size of photon energy of the X-rays. Therefore, in case the tube voltage is low, it cannot sufficiently transmit an object, deteriorating the image quality. Conversely, a high tube voltage leads to an excessive amount of X-ray penetrating the object, reducing the contrast of the produced image. Therefore, an adequate level of tube voltage should be determined according to the type of object in use.

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Tube current: Tube current means a current flowing from anode to cathode, and its size determines the number of photons. The quantity of tube current is expressed in the unit mAs, which is generated by multiplying the tube current (mA) by the exposure time (s). Depending on the type of object, an appropriate level of tube current should be set to reduce the noise in images.
This study was able to obtain proper DPF substrate images using GXR-S of DRGEM Co., Ltd. in Gyeonggi-do, South Korea, which is generally used in medical fields. The specifications of the X-ray generator are shown in Table 2. As a panel-shaped digital sensor to detect an X-ray that penetrates an object, IP shows better quantitation and sensitivity more than 100 times higher than the existing X-ray film. In addition, the data recorded onto the plate is erasable, enabling repeated use.

CR Reader
A laser beam is ejected from a CR reader once an IP with a certain amount of X-ray accumulated is inserted into the reader, releasing an optical signal whose size is proportional to the accumulated amount of X-ray. An image is obtained after the produced optical signal is converted into an electrical signal, amplified to be made to go through analog to digital (A/D) conversion, and sent to a computer. The CR readers usually have two laser scan modes: low mode and high mode. In low mode, a thick laser beam is an output. In that case, the resolution of the image is lowered, and each pixel is 175 µm in the image. On the contrary, in high mode, a thin laser beam is an output. In that case, as opposed to the low mode, the resolution is increased, and pixel size is 87.5 µm.
The CR reader used for this study is Regius model 110 of KONICA MINOLTA, Inc., and its specifications are shown in Table 3. Image J, a Java-based image processing program created by the National Institute of Health in the US, is used to process radiographic images in medical fields and offers various features for image processing and analysis [15]. When the brightness and contrast of an image are adjusted using Image J, it leads to a dramatic change in the overall brightness and the contrast between black and white of the image. The pixel of an image is used as the minimum unit, and the brightness of an X-ray image is expressed in a pixel value. A pixel value makes it possible to analyze a difference in density, which is difficult to achieve visually and is expressed in fixed numbers within a range between 0 (black) and 255 (white) on an image of grayscale. Therefore, the higher (lower) the pixel value, the higher (lower) the density is.
Image J was employed to analyze images deemed difficult to visually distinguish whether soot and ash were accumulated. Whether they are accumulated can be checked with a pixel value produced by setting and designating the areas accumulated with soot and ash as the region of interest (ROI) and utilizing the density histogram feature ( Figure 4).

Testing Method
X-ray filming was carried out in a laboratory environment equipped with safety facilities for this study. New DPF substrates were prepared to see if it was possible to observe the accumulation of soot and ash, and its size was 5.66 inches in diameter and 10 inches in height, with a cell density of 200 cells per square inch (CPSI). Each image was obtained with the CR reader after placing the DPF substrate onto the IP and inspecting the X-ray. They were checked for whether soot and ash were accumulated using a pixel value of the image, which was measured with Image J. A diagram showing the sequential process of producing the X-ray image of the DPF substrate and analyzing the accumulation status is shown in Figure 5; photos of the experimental setup are presented in Figure 6. Appl. Sci. 2021, 11, x FOR PEER REVIEW 6 of 14

Testing Method
X-ray filming was carried out in a laboratory environment equipped with safety facilities for this study. New DPF substrates were prepared to see if it was possible to observe the accumulation of soot and ash, and its size was 5.66 inches in diameter and 10 inches in height, with a cell density of 200 cells per square inch (CPSI). Each image was obtained with the CR reader after placing the DPF substrate onto the IP and inspecting the X-ray. They were checked for whether soot and ash were accumulated using a pixel value of the image, which was measured with Image J. A diagram showing the sequential process of producing the X-ray image of the DPF substrate and analyzing the accumulation status is shown in Figure 5; photos of the experimental setup are presented in Figure 6.

Testing Method
X-ray filming was carried out in a laboratory environment equipped with safety facilities for this study. New DPF substrates were prepared to see if it was possible to observe the accumulation of soot and ash, and its size was 5.66 inches in diameter and 10 inches in height, with a cell density of 200 cells per square inch (CPSI). Each image was obtained with the CR reader after placing the DPF substrate onto the IP and inspecting the X-ray. They were checked for whether soot and ash were accumulated using a pixel value of the image, which was measured with Image J. A diagram showing the sequential process of producing the X-ray image of the DPF substrate and analyzing the accumulation status is shown in Figure 5; photos of the experimental setup are presented in Figure 6. The schematic diagram from CR X-ray system to Image J. Figure 5. The schematic diagram from CR X-ray system to Image J.
The distance from the DPF substrate to take its image was set at 1 m, which is the same as the CR X-ray imaging requirement for the human body. In addition, to obtain clear substrate images, X-rays were taken while changing the tube current from 5 to 20 mAs at a tube voltage of 40-60 kV. As a result, the clearest image was obtained and selected as a parameter, and when the transmittance and noise were considered, it was the clearest at 50 kV and 10 mAs. Therefore, these were used for the tube voltage and current. In addition, the scan mode of the CR reader was set to the low mode. High mode is usually used to image microscopic tissues, and low mode is used to image human chests. Therefore, it was assumed that the inside of the substrate could be sufficiently photographed even in the low mode. The testing conditions above are listed in Table 4. Appl. Sci. 2021, 11, x FOR PEER REVIEW 7 of 14 The distance from the DPF substrate to take its image was set at 1 m, which is the same as the CR X-ray imaging requirement for the human body. In addition, to obtain clear substrate images, X-rays were taken while changing the tube current from 5 to 20 mAs at a tube voltage of 40-60 kV. As a result, the clearest image was obtained and selected as a parameter, and when the transmittance and noise were considered, it was the clearest at 50 kV and 10 mAs. Therefore, these were used for the tube voltage and current. In addition, the scan mode of the CR reader was set to the low mode. High mode is usually used to image microscopic tissues, and low mode is used to image human chests. Therefore, it was assumed that the inside of the substrate could be sufficiently photographed even in the low mode. The testing conditions above are listed in Table 4.

Accumulation of Carbon Powder and Ash Powder
A test was carried out to check if the ash was accumulated inside the DPF substrate, as it could increase back pressure, reducing the power and specific fuel consumption of an engine as well as affecting the durability of the substrate. As there is not only ash but soot inside the substrate, carbon powder, similar to soot, and ash powder were placed on the new substrate to see if they were accumulated based on a comparison of pixel values.

Results from Images of Substrate with Accumulated Carbon Powder
The maximum allowable quantity of soot was assumed to be 6 g/L (mass per volume of substrate) before regeneration, and the volume of the substrate used in the test was calculated to be about 4.12 L based on the standard [16]. Therefore, the maximum allowable quantity of soot in the entire substrate was estimated to be 24.72 g, which was rounded up to 25 g for the convenience of the testing. In this study, contents of carbon powder, which is similar to soot that is accumulated in the substrate, in six different quantities were compared by taking an X-ray. The images of the substrate in these six different conditions are shown in Table 5.

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New substrate (0 g): The new substrate has nothing accumulated inside. • Accumulation 12.5 g: 50% of the maximum accumulated quantity is accumulated in the substrate. • Accumulation 25 g: The maximum accumulated quantity of substrate. • Accumulation 62.5 g, 100 g and 125 g: Excessively accumulated quantity setting for better visual observation.  The maximum allowable quantity of soot was assumed to be 6 g/L (mass per volume of substrate) before regeneration, and the volume of the substrate used in the test was calculated to be about 4.12 L based on the standard [16]. Therefore, the maximum allowable quantity of soot in the entire substrate was estimated to be 24.72 g, which was rounded up to 25 g for the convenience of the testing. In this study, contents of carbon powder, which is similar to soot that is accumulated in the substrate, in six different quantities were compared by taking an X-ray. The images of the substrate in these six different conditions are shown in Table 5.

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New substrate (0 g): The new substrate has nothing accumulated inside. • Accumulation 12.5 g: 50% of the maximum accumulated quantity is accumulated in the substrate. • Accumulation 25 g: The maximum accumulated quantity of substrate. • Accumulation 62.5 g, 100 g, and 125 g: Excessively accumulated quantity setting for better visual observation.  The maximum allowable quantity of soot was assumed to be 6 g/L (mass per volume of substrate) before regeneration, and the volume of the substrate used in the test was calculated to be about 4.12 L based on the standard [16]. Therefore, the maximum allowable quantity of soot in the entire substrate was estimated to be 24.72 g, which was rounded up to 25 g for the convenience of the testing. In this study, contents of carbon powder, which is similar to soot that is accumulated in the substrate, in six different quantities were compared by taking an X-ray. The images of the substrate in these six different conditions are shown in Table 5.

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New substrate (0 g): The new substrate has nothing accumulated inside. • Accumulation 12.5 g: 50% of the maximum accumulated quantity is accumulated in the substrate. • Accumulation 25 g: The maximum accumulated quantity of substrate. • Accumulation 62.5 g, 100 g, and 125 g: Excessively accumulated quantity setting for better visual observation.  The maximum allowable quantity of soot was assumed to be 6 g/L (mass per volume of substrate) before regeneration, and the volume of the substrate used in the test was calculated to be about 4.12 L based on the standard [16]. Therefore, the maximum allowable quantity of soot in the entire substrate was estimated to be 24.72 g, which was rounded up to 25 g for the convenience of the testing. In this study, contents of carbon powder, which is similar to soot that is accumulated in the substrate, in six different quantities were compared by taking an X-ray. The images of the substrate in these six different conditions are shown in Table 5.

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New substrate (0 g): The new substrate has nothing accumulated inside. • Accumulation 12.5 g: 50% of the maximum accumulated quantity is accumulated in the substrate. • Accumulation 25 g: The maximum accumulated quantity of substrate. • Accumulation 62.5 g, 100 g, and 125 g: Excessively accumulated quantity setting for better visual observation.  The maximum allowable quantity of soot was assumed to be 6 g/L (mass per volume of substrate) before regeneration, and the volume of the substrate used in the test was calculated to be about 4.12 L based on the standard [16]. Therefore, the maximum allowable quantity of soot in the entire substrate was estimated to be 24.72 g, which was rounded up to 25 g for the convenience of the testing. In this study, contents of carbon powder, which is similar to soot that is accumulated in the substrate, in six different quantities were compared by taking an X-ray. The images of the substrate in these six different conditions are shown in Table 5.

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New substrate (0 g): The new substrate has nothing accumulated inside. • Accumulation 12.5 g: 50% of the maximum accumulated quantity is accumulated in the substrate. • Accumulation 25 g: The maximum accumulated quantity of substrate. • Accumulation 62.5 g, 100 g, and 125 g: Excessively accumulated quantity setting for better visual observation.  The maximum allowable quantity of soot was assumed to be 6 g/L (mass per volume of substrate) before regeneration, and the volume of the substrate used in the test was calculated to be about 4.12 L based on the standard [16]. Therefore, the maximum allowable quantity of soot in the entire substrate was estimated to be 24.72 g, which was rounded up to 25 g for the convenience of the testing. In this study, contents of carbon powder, which is similar to soot that is accumulated in the substrate, in six different quantities were compared by taking an X-ray. The images of the substrate in these six different conditions are shown in Table 5.

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New substrate (0 g): The new substrate has nothing accumulated inside. • Accumulation 12.5 g: 50% of the maximum accumulated quantity is accumulated in the substrate. • Accumulation 25 g: The maximum accumulated quantity of substrate. • Accumulation 62.5 g, 100 g, and 125 g: Excessively accumulated quantity setting for better visual observation.  The maximum allowable quantity of soot was assumed to be 6 g/L (mass per volume of substrate) before regeneration, and the volume of the substrate used in the test was calculated to be about 4.12 L based on the standard [16]. Therefore, the maximum allowable quantity of soot in the entire substrate was estimated to be 24.72 g, which was rounded up to 25 g for the convenience of the testing. In this study, contents of carbon powder, which is similar to soot that is accumulated in the substrate, in six different quantities were compared by taking an X-ray. The images of the substrate in these six different conditions are shown in Table 5.

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New substrate (0 g): The new substrate has nothing accumulated inside. • Accumulation 12.5 g: 50% of the maximum accumulated quantity is accumulated in the substrate. • Accumulation 25 g: The maximum accumulated quantity of substrate. • Accumulation 62.5 g, 100 g, and 125 g: Excessively accumulated quantity setting for better visual observation.

(a) 0 g Accumulation (b) 12.5 g Accumulation (c) 25 g Accumulation (d) 62.5 g Accumulation (e) 100 g Accumulation (f) 125 g Accumulation
In the case of Table 5a, showing the new substrate, the plug on the inlet and the outlet appeared white. As for Table 5b, displaying the substrate with 12.5 g of carbon powder, an area appearing extremely pale white on the upper part of the plug was witnessed as carbon powder was accumulated on the outlet of the substrate. Table 5c, with an image of the substrate with 25 g of carbon powder, shows a larger area colored pale white. In cases of Table 5d, with the substrate with 62.5 g of the powder, Table 5e, with 100 g, and Table 5f, with 125 g, it was visually observed that carbon powder, accumulated in the shape of a mountain on the outlet of the substrate, appeared in pale white.

Analysis of Images of Substrate with Accumulated Carbon Powder
As the area where carbon powder was accumulated was shown in extremely pale white on the images, it is not easy to visually determine whether it was actually accumulated. For this reason, an analysis was attempted to check the accumulation status with the pixel values after setting the center of the outlet of the substrate as the ROI with Image J and comparing the values with those of the new substrate (Figure 7a). Before setting the ROI, it was identified through Image J that the resolution of each carbon powder image was 1430 × 1722 pixels. The identical location and size (300 × 240 pixels) of each image were set as ROI, and the average pixel value and the standard deviation data were produced using the histogram feature (Figure 7b). a mountain on the outlet of the substrate, appeared in pale white.

Analysis of Images of Substrate with Accumulated Carbon Powder
As the area where carbon powder was accumulated was shown in extremely pale white on the images, it is not easy to visually determine whether it was actually accumulated. For this reason, an analysis was attempted to check the accumulation status with the pixel values after setting the center of the outlet of the substrate as the ROI with Image J and comparing the values with those of the new substrate (Figure 7a). Before setting the ROI, it was identified through Image J that the resolution of each carbon powder image was 1430 × 1722 pixels. The identical location and size (300 × 240 pixels) of each image were set as ROI, and the average pixel value and the standard deviation data were produced using the histogram feature (Figure 7b). The data are given in Figure 8 and Table 6. The gap between the pixel value of the substrate with 12.5 g of carbon powder, whose accumulation was dimly visible on the image, and that of the new substrate was 8.503, which is deemed valid, given the standard deviation of the pixel value. The larger the accumulated quantity becomes, the higher the gap with the pixel value of the new substrate gets, indicating that it is possible to analyze the accumulation status. The data are given in Figure 8 and Table 6. The gap between the pixel value of the substrate with 12.5 g of carbon powder, whose accumulation was dimly visible on the image, and that of the new substrate was 8.503, which is deemed valid, given the standard deviation of the pixel value. The larger the accumulated quantity becomes, the higher the gap with the pixel value of the new substrate gets, indicating that it is possible to analyze the accumulation status.    X-ray images of the substrate with ash powder in four different quantities-12.5 g, 25 g, 100 g and 125 g-were taken to compare their pixel values with those from the images of carbon powder accumulation, and they are shown in Table 7. As for Table 7a, depicting the substrate with 12.5 g of ash powder, the plug and the upper part of the plug are shown in white more than those in Table 5a, displaying the new substrate due to the accumulation of ash powder. In the case of Table 7b, with 25 g of ash powder, the area accumulated with ash powder on the outlet of the substrate appeared white clearly and was easily observable. Even in Table 7c, with 100 g of ash powder, and Table 7d, with 125 g of ash powder, both of which were excessive in quantity, the accumulation status was easily visually identifiable. Table 7. The substrate images of four different conditions (ash powder from 12.5 g to 125 g).  X-ray images of the substrate with ash powder in four different quantities-12.5 g, 25 g, 100 g, and 125 g-were taken to compare their pixel values with those from the images of carbon powder accumulation, and they are shown in Table 7. As for Table 7a, depicting the substrate with 12.5 g of ash powder, the plug and the upper part of the plug are shown in white more than those in Table 5a, displaying the new substrate due to the accumulation of ash powder. In the case of Table 7b, with 25 g of ash powder, the area accumulated with ash powder on the outlet of the substrate appeared white clearly and was easily observable. Even in Table 7c, with 100 g of ash powder, and Table 7d, with 125 g of ash powder, both of which were excessive in quantity, the accumulation status was easily visually identifiable. Table 7. The substrate images of four different conditions (ash powder from 12.5 g to 125 g).
(a) 12.5 g Accumulation (b) 25 g Accumulation (c) 100 g Accumulation (d) 125 g Accumulation Figure 8. The graph of pixel values according to carbon powder accumulation condition. X-ray images of the substrate with ash powder in four different quantities-12.5 g, 25 g, 100 g, and 125 g-were taken to compare their pixel values with those from the images of carbon powder accumulation, and they are shown in Table 7. As for Table 7a, depicting the substrate with 12.5 g of ash powder, the plug and the upper part of the plug are shown in white more than those in Table 5a, displaying the new substrate due to the accumulation of ash powder. In the case of Table 7b, with 25 g of ash powder, the area accumulated with ash powder on the outlet of the substrate appeared white clearly and was easily observable. Even in Table 7c, with 100 g of ash powder, and Table 7d, with 125 g of ash powder, both of which were excessive in quantity, the accumulation status was easily visually identifiable. Table 7. The substrate images of four different conditions (ash powder from 12.5 g to 125 g).
(a) 12.5 g Accumulation (b) 25 g Accumulation (c) 100 g Accumulation (d) 125 g Accumulation Figure 8. The graph of pixel values according to carbon powder accumulation condition. X-ray images of the substrate with ash powder in four different quantities-12.5 g, 25 g, 100 g, and 125 g-were taken to compare their pixel values with those from the images of carbon powder accumulation, and they are shown in Table 7. As for Table 7a, depicting the substrate with 12.5 g of ash powder, the plug and the upper part of the plug are shown in white more than those in Table 5a, displaying the new substrate due to the accumulation of ash powder. In the case of Table 7b, with 25 g of ash powder, the area accumulated with ash powder on the outlet of the substrate appeared white clearly and was easily observable. Even in Table 7c, with 100 g of ash powder, and Table 7d, with 125 g of ash powder, both of which were excessive in quantity, the accumulation status was easily visually identifiable.   X-ray images of the substrate with ash powder in four different quantities-12.5 g, 25 g, 100 g, and 125 g-were taken to compare their pixel values with those from the images of carbon powder accumulation, and they are shown in Table 7. As for Table 7a, depicting the substrate with 12.5 g of ash powder, the plug and the upper part of the plug are shown in white more than those in Table 5a, displaying the new substrate due to the accumulation of ash powder. In the case of Table 7b, with 25 g of ash powder, the area accumulated with ash powder on the outlet of the substrate appeared white clearly and was easily observable. Even in Table 7c, with 100 g of ash powder, and Table 7d, with 125 g of ash powder, both of which were excessive in quantity, the accumulation status was easily visually identifiable.  The resolution of each ash powder image was identified to be the same 1430 × 1722 pixels as the carbon powder images. In addition, pixel values, shown in Figure 9 and Table 8, were obtained through histograms by setting the same ROI as in the analysis on the images of carbon powder accumulation. The gap between the pixel value of the substrate with the least accumulated ash powder of 12.5 g and that of the new substrate was 18.998, which is deemed valid considering the standard deviation. Therefore, it is confirmed that it is also possible to analyze the status of ash accumulation, as with carbon powder accumulation.
The resolution of each ash powder image was identified to be the same 1430 × 1722 pixels as the carbon powder images. In addition, pixel values, shown in Figure 9 and Table  8, were obtained through histograms by setting the same ROI as in the analysis on the images of carbon powder accumulation. The gap between the pixel value of the substrate with the least accumulated ash powder of 12.5 g and that of the new substrate was 18.998, which is deemed valid considering the standard deviation. Therefore, it is confirmed that it is also possible to analyze the status of ash accumulation, as with carbon powder accumulation.

Comparison between Pixel Values of Carbon Powder and Ash Powder
A comparison between the images of carbon powder accumulation and those of ash powder accumulation through a visual observation indicated that the area of accumulated ash appeared relatively whiter (Table 9). A graph comparing an increase in pixel values upon the accumulation of carbon powder and of ash powder, measured at the same ROI, is given in Figure 10. As for the images of ash powder, when the accumulated quantity gets higher, the pixel value dramatically increases. Ash consists of elements with higher atomic numbers than carbon, as they are generally derived from engine oil. Therefore, it is denser than carbon powder, resulting in a lower X-ray transmittance, which leads to an assumption that a certain area appears whiter in the images.
It is confirmed that it is possible to analyze the accumulation status through CR Xray imaging when ash is accumulated on the substrate. Therefore, it is deemed possible to observe the accumulation of ash remnants after the regeneration process by taking a CR X-ray to the DPF equipped with a canister. As for the PM accumulation, it is estimated to be difficult to tell whether it is accumulated through a visual observation as it is mainly made of carbon; however, it is possible to conduct an analysis based on pixel values.

Comparison between Pixel Values of Carbon Powder and Ash Powder
A comparison between the images of carbon powder accumulation and those of ash powder accumulation through a visual observation indicated that the area of accumulated ash appeared relatively whiter (Table 9). A graph comparing an increase in pixel values upon the accumulation of carbon powder and of ash powder, measured at the same ROI, is given in Figure 10. As for the images of ash powder, when the accumulated quantity gets higher, the pixel value dramatically increases. Ash consists of elements with higher atomic numbers than carbon, as they are generally derived from engine oil. Therefore, it is denser than carbon powder, resulting in a lower X-ray transmittance, which leads to an assumption that a certain area appears whiter in the images.   Table 9. Visual comparison of carbon powder accumulation and ash powder accumulation.

Carbon Powder Accumulation 25 g
Ash Powder Accumulation 25 g Figure 10. Pixel values comparison of carbon powder and ash powder.

Summary of Verification Results and Observations
It is confirmed that the area accumulated with carbon powder or with ash powder appeared white based on CR X-ray images and that the color of the area of accumulated ash powder was whiter. In addition, it is verified that it is possible to analyze the accumulation status by comparing pixel values produced by Image J. Therefore, this study shows that it is confirmed to be technically possible to diagnose the accumulation status of soot and ash using the CR X-ray imaging technique and Image J. However, although the qualitative evaluation through CR X-ray images has been sufficiently proven, the numerical values obtained through Image J are only pixel values, so it is not enough to be called a quantitative evaluation. In order for the pixel values obtained to be demonstrated by quantitative evaluation, additional studies are needed, such as uncertainty analysis. In addition, as the substrate without canister was photographed, research is necessary to analyze whether soot and ash are accumulated in the DPF of in-use vehicles, and more thought should be given to the adaptability of the technique.
In recent years, various radiation studies have been conducted, including experiments to evaluate X-ray-radian and gamma-radian-based systems using Monte Carlo radiation transmission tools [17][18][19][20]. The CR X-ray imaging technique is expected to make contributions to the environment by diagnosing whether a DPF is damaged and detecting illegal remodeling at vehicle inspection stations. It is also expected to be used for various purposes, such as for DPF cleaning shops and retrofit manufacturers to determine whether the DPF is sustainably usable after a cleaning process or needs to be repaired. As It is confirmed that it is possible to analyze the accumulation status through CR X-ray imaging when ash is accumulated on the substrate. Therefore, it is deemed possible to observe the accumulation of ash remnants after the regeneration process by taking a CR X-ray to the DPF equipped with a canister. As for the PM accumulation, it is estimated to be difficult to tell whether it is accumulated through a visual observation as it is mainly made of carbon; however, it is possible to conduct an analysis based on pixel values.

Summary of Verification Results and Observations
It is confirmed that the area accumulated with carbon powder or with ash powder appeared white based on CR X-ray images and that the color of the area of accumulated ash powder was whiter. In addition, it is verified that it is possible to analyze the accumulation status by comparing pixel values produced by Image J. Therefore, this study shows that it is confirmed to be technically possible to diagnose the accumulation status of soot and ash using the CR X-ray imaging technique and Image J. However, although the qualitative evaluation through CR X-ray images has been sufficiently proven, the numerical values obtained through Image J are only pixel values, so it is not enough to be called a quantitative evaluation. In order for the pixel values obtained to be demonstrated by quantitative evaluation, additional studies are needed, such as uncertainty analysis. In addition, as the substrate without canister was photographed, research is necessary to analyze whether soot and ash are accumulated in the DPF of in-use vehicles, and more thought should be given to the adaptability of the technique.
In recent years, various radiation studies have been conducted, including experiments to evaluate X-ray-radian and gamma-radian-based systems using Monte Carlo radiation transmission tools [17][18][19][20]. The CR X-ray imaging technique is expected to make contributions to the environment by diagnosing whether a DPF is damaged and detecting illegal remodeling at vehicle inspection stations. It is also expected to be used for various purposes, such as for DPF cleaning shops and retrofit manufacturers to determine whether the DPF is sustainably usable after a cleaning process or needs to be repaired. As portable X-ray systems and flexibly bendable IP are produced and sold in mass quantities, the technique is deemed easily accessible.

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This study assessed whether it is possible to quantitatively evaluate the accumulation status of soot and ash utilizing the CR X-ray imaging technique and Image J. Respective X-ray images were taken after cumulating carbon powder, similar to soot, on the DPF substrate, in quantities of 12.5 g, 25 g, 62.5 g, 100 g and 125 g. Later, X-ray images were filmed after placing 12.5 g, 25 g, 100 g, and 125 g of ash powder in a new substrate to conduct a comparative analysis of the produced images.

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As the accumulated carbon powder and ash powder increased in quantity, the images of carbon powder accumulation showed the upper part of the plug of the substrate being colored paler white, whereas those of ash powder displayed deeper white color. An analysis of the pixel values using the histogram and ROI features of Image J confirmed that ash powder had a higher pixel value than carbon powder did. As ash demonstrates a higher density than that of carbon powder due to their composition of components deriving mainly from engine oil, it leads to a lower X-ray transmittance, which is presumed to make the images appear whiter.

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This study confirms that it is possible to identify the accumulation status of soot and ash on the DPF substrate. However, although the qualitative evaluation was verified, additional uncertainty studies are needed to verify the quantitative evaluation. In addition, further research is required on the accumulation analysis of soot and ash on the DPF of an in-use vehicle with canister and verification activities on the economic aspects and safety.