JP4694847B2 - Rubber material form display method - Google Patents

Description

The present invention relates to the form table How to Display the rubber material and rubber and a filler in the rubber material blended with filler to the rubber to display the form of a dense polymer layer adsorbed.

  Conventionally, it has been known that a filler such as carbon black or silica has a reinforcing effect when it is blended with rubber. In particular, rubber materials in which carbon black is blended with rubber are widely used for rubber products such as tires.

In rubber materials blended with this filler, deformation behavior changes depending on the dispersion state of the blended filler inside the rubber material, and various techniques for observing the state of the filler inside the rubber material have been proposed. Yes. Non-Patent Document 1 describes a three-dimensional basic model inside a rubber material from a plurality of images taken by a transmission electron microtomography (TEMT) using a CT scanner (computer tomography scanner). A technique for observing fillers by producing With the technique of Non-Patent Document 1, a good slice image inside the rubber material could be obtained.
Shinbori.Y, Jinnai.K, Nishikawa.Y, Kaneko.T, Niihara.K, and Nishi.T, Polymer Preprints, Japan Vol.53, NO.1 (2004) 873

  By the way, in a rubber material in which carbon black is blended as a filler, a high-density polymer layer (so-called carbon gel) in which carbon book and rubber are physically or chemically adsorbed is formed around the carbon black. It is said that.

  However, there is a problem that the high-density polymer layer on which the carbon book and rubber are adsorbed cannot be identified to visualize the form.

The present invention has been made to solve the above problems, a filler and rubber to provide the form table How to Display the rubber material can be visualized in the form of a dense polymer layer adsorbed For the purpose.

In order to achieve the above-mentioned object, the invention according to claim 1 transmits a rubber material having a predetermined shape in which a high-density polymer layer in which the rubber and the filler are adsorbed by adding a filler to the rubber is formed. A slice representing a cross-sectional shape including an internal structure when a plurality of images taken using a scanning electron tomography method are reconstructed into a three-dimensional basic model by a computer tomography method and the three-dimensional basic model is sliced by a predetermined plane An image is acquired, the threshold value of the image density in the slice image for discriminating between the high-density polymer layer, the rubber part and the filler part contained in the rubber material is adjusted, and the slice image is vertically and horizontally predetermined. The slice image based on the density value of each pixel divided by the number and the adjusted threshold value, and the pixel corresponding to the threshold value is different from other pixels Converted into image to be displayed and converting said transformed image was on the display means.

According to the first aspect of the invention, obtains a transmission by using an electron beam tomography reconstructs a plurality of images obtained by photographing a rubber material into a three-dimensional base model, a slice image images obtained by slicing a three-dimensional base model and, for this slice image, adjusting the density of the polymer layer and the rubber and filler is adsorbed, the rubber and filler, the threshold value of image density to determine. The high-density polymer layer is a polymer layer that is condensed at high density as a result of physical or chemical adsorption of the filler and rubber around the filler to constrain the rubber on the surface of the filler. It is. Here, in the present invention, to convert the pixels corresponding to the threshold of the slice image in the converted image to different density values with other pixel. Accordingly, the high density polymer layer region of the converted image has a density value different from that of the rubber portion or the filler portion region. Then, to display the converted image is converted. This makes it possible to visualize the form of the high-density polymer layer in which the filler and rubber are adsorbed.

The invention of claim 2 is the invention of claim 1, wherein the pre-Symbol 3-dimensional base model to obtain a plurality of slice images obtained by slicing at predetermined intervals in a predetermined plane, the binarized image as a pre-Symbol converted image conversion, a plurality of binarized image is converted laminated in order is and the predetermined distance of the slice position of the slice image, by integrating pixels of the same value as the same elements among the binarized image area raw form a three-dimensional model by forming a different density value of the raw made at least the dense polymer layer region based on the three-dimensional model was as the rubber portion and the filler portion of the area that The slice image of the three-dimensional model is displayed.

According to the second aspect of the present invention to obtain a slice image obtained by slicing the rubber material at predetermined intervals, into a binary image based on a threshold that is adjusted each pixel of each slice image, converted A three-dimensional model is formed by stacking a plurality of binarized images in the order of slice positions of each slice image and at the predetermined interval to form a region in which pixels having the same value are integrated as the same element between the binarized images. Is generated. Therefore, this three-dimensional model is divided into a high-density polymer layer region and a rubber and filler region. Then, a slice image of the three-dimensional model in which the density values of the high-density polymer layer region of the three-dimensional model and the region other than the high-density polymer layer are different is displayed. This makes it possible to visualize the form of the high-density polymer layer in which the filler and rubber are adsorbed.

  The invention according to claim 3 further comprises storage means for storing the threshold value adjusted by the adjusting means in the invention according to claim 1 or 2, wherein the converting means is the slice image. Each slice image is converted into a converted image based on the density value of each pixel and the threshold value stored in the storage means.

According to the invention described in claim 3, the threshold value adjusted by the adjusting means is stored in the storage means . Thus, once the adjustment is properly performed, it is not necessary to adjust the threshold value again, and the slice image acquired by the conversion unit can be immediately converted into a converted image.

  According to a fourth aspect of the present invention, in the invention according to any one of the first to third aspects, the rubber material comprises the rubber and the carbon black mixed with carbon rubber as a filler. Is formed, and a density value for discriminating the threshold value of the image density from the high-density polymer layer contained in the rubber material from the rubber part and the carbon black part. It is characterized by.

  According to the fourth aspect of the present invention, in a rubber material in which carbon black is blended as a filler in rubber, the form of a high-density polymer layer in which rubber and carbon black are adsorbed can be visualized.

  The invention according to claim 5 is the invention according to claim 4, wherein the rubber material further includes silica as a filler in the rubber, and the threshold value of the image density is included in the rubber material. A density value for discriminating between the high-density polymer layer and the silica portion and the rubber portion and the carbon black portion, and the display means is based on the three-dimensional model and at least the high-density polymer layer and the silica portion region and the The slice image of the three-dimensional model in which the density values of the rubber part and the carbon black part are different from each other is displayed.

According to the invention described in claim 5, since silica does not adsorb rubber, a high-density polymer layer is not formed. On the other hand, carbon black adsorbs to rubber and forms a high-density polymer layer at the interface between carbon black and rubber. Therefore, when a slice image based on the three-dimensional model is displayed on the display means, the high-density polymer layer region is a hollow image having different density values because the inside is carbon black, and the silica region is an image having the same density value inside. It becomes. Therefore, it is possible to determine the displayed slice image or al dense polymer layer and silica.

  As described above, according to the present invention, a slice image obtained by slicing a three-dimensional basic model of a rubber material generated by using the transmission electron beam tomography method is obtained, and the obtained slice image is obtained as a high-density polymer layer. The image is converted into a converted image based on an image density threshold adjusted to discriminate between the rubber portion and the filler portion, and the converted image is displayed, so that the filler and rubber are adsorbed. It has the outstanding effect that the form of the high-density polymer layer currently made can be visualized.

  Hereinafter, embodiments of the present invention will be described in detail with reference to the drawings.

  FIG. 1 shows the configuration of a rubber material form display system 10 according to the present invention.

  The rubber material form display system 10 includes a CT scanner (computer tomography scanner) 11 and a computer 12. The CT scanner 11 and the computer 12 are connected by a cable 20.

  The CT scanner 11 incorporates a transmission electron microscope and a sample stage. The CT scanner 11 images the rubber material to be analyzed placed on the sample stage with the transmission electron microscope, and reconstructs the data obtained by the imaging into a three-dimensional basic model by a computer tomography method (CT method). The CT scanner 11 generates a plurality of slice image data obtained by slicing the reconstructed three-dimensional basic model at a predetermined interval with a predetermined plane.

  The computer 12 includes a keyboard 15 for inputting various conditions for analysis, a computer main body 13 for analyzing an image according to a pre-stored processing program, and a display 14 for displaying calculation results of the computer main body 13. , Is composed of. The computer 12 uses the slice image data generated by the CT scanner 11 to analyze the form of the high-density polymer layer in which the filler and rubber contained in the rubber material are adsorbed.

  The computer main body 13 includes a flexible disk drive unit (hereinafter referred to as FDU) 18 into which a flexible disk (hereinafter referred to as FD) 16 as a recording medium can be inserted and removed.

  Next, with reference to FIG. 2, the configuration of the main part of the electrical system of the computer 12 will be described.

  The computer 12 temporarily stores a CPU (central processing unit) 40 that controls the operation of the entire apparatus, a ROM 42 that stores various programs and various parameters including a control program for controlling the computer 12, and various data. An external I / O control unit 60 that is connected to the RAM 48 and a connector 59 connected to the cable 20 and acquires slice image data from the CT scanner 11 via the connector 59, acquired slice image data, and a threshold value to be described later An HDD (Hard Disk Drive) 56 for storing retained data, a flexible disk I / F unit 52 for inputting / outputting data between the FD 16 mounted on the FDU 18, and a display driver 44 for controlling display of various information on the display 14. And an operation for detecting a key operation on the keyboard 15. An input detection unit 46, and a.

  The CPU 40, RAM 48, ROM 42, HDD 56, external I / O control unit 60, flexible disk I / F unit 52, display driver 44, and operation input detection unit 46 are connected to each other via a system bus BUS. Therefore, the CPU 40 controls access to the RAM 48, ROM 42 and HDD 56, access to the FD 16 mounted on the FDU 18 via the flexible disk I / F unit 52, and control of data transmission / reception via the external I / O control unit 60. Various information can be displayed on the display 14 via the display driver 44. Further, the CPU 40 can always grasp key operations on the keyboard 15.

  Note that a three-dimensional model generation processing program, which will be described later, can be read from and written to the FD 16 using the FDU 18. Therefore, a 3D model generation processing program to be described later may be recorded in the FD 16 in advance, and the 3D model generation processing program recorded in the FD 16 may be executed via the FDU 18. Further, the three-dimensional model generation processing program recorded in the FD 16 may be stored (installed) in the HDD 56 and executed. As the recording medium, there are recording tapes, optical disks such as CD-ROM and DVD, and magneto-optical disks such as MD and MO. When these are used, instead of the FDU 18 or a corresponding read / write device is used. Good.

  Next, the operation when displaying the form of the high-density polymer layer according to the present embodiment will be briefly described.

  In the present embodiment, a user performs marking with a gold colloid on a rubber material having a predetermined shape blended with carbon black as a filler, is placed on a sample stage provided in the CT scanner 11, and is placed on the CT scanner 11. On the other hand, when a predetermined operation for starting the process is performed, a slice image generation process to be described later is executed.

  The CT scanner 11 according to the present embodiment is configured as a measuring apparatus including a computer configuration using a transmission electron beam tomography method (TEMT). The CT scanner 11 has a predetermined angle (for example, an interval of 2 degrees) between a transmission electron microscope and a sample table on which a rubber material is placed within a predetermined angle range (in the present embodiment, a range of −60 degrees to +60 degrees). ) A continuous inclined image of the rubber material is taken by scanning while relatively rotating each one. The CT scanner 11 uses the image data of the 61 tilted images that have been taken, finds the rotation axis between the images, and reconstructs it into a three-dimensional basic model by computer tomography. Then, the CT scanner 11 generates a slice image obtained by slicing the reconstructed three-dimensional basic model at a predetermined interval parallel to each surface. The generated slice image data is output to the computer 12 via the cable 20.

  The computer 12 stores the slice image data acquired via the cable 20 in the HDD 56.

  When the user performs a predetermined operation for starting generation of a three-dimensional model via the keyboard 15, the computer 12 executes a three-dimensional model generation process described later. In a three-dimensional model generation process described later, a three-dimensional model indicated by slice image data stored in the HDD 56 is generated, and a three-dimensional image and a slice image of the generated three-dimensional model are displayed on the display 14.

  Next, the operation of the slice image generation process executed by the CT scanner 11 will be described in detail with reference to FIG. FIG. 3 is a flowchart showing the flow of the slice image generation processing program.

  In step 100 of the figure, as an initial process, the sample table on which a rubber material having a predetermined shape is placed and the transmission electron microscope are relatively moved to change the positional relationship to the initial position (in this embodiment, −60 degrees). Position). In the next step 102, the rubber material is photographed by a transmission electron microscope to obtain an inclined image of the rubber material.

  In the next step 104, whether or not the positional relationship between the transmission electron microscope and the sample stage is the end position of the predetermined angular range (in this embodiment, +60 degrees), it is determined whether or not the predetermined angular range (the present embodiment). Then, it is determined whether or not the photographing at −60 degrees to +60 degrees has been completed. If the determination is affirmative, the process proceeds to step 108, and if the determination is negative, the process proceeds to step 106. In step 106, the transmission electron microscope and the sample stage are relatively rotated by a predetermined angle (for example, 2 degrees), the process proceeds to step 102, and the rubber material is imaged again.

  On the other hand, in step 108, since the photographing within the predetermined angle range described above has been completed, the position of the gold colloid marked on the rubber material is identified from each inclined image obtained by photographing, and the gold of each inclined image is determined. The rotation axis of the rubber material is specified from the change (trajectory) of the position of the colloid. Then, a three-dimensional basic model is generated by the CT method from the identified rotation axis and image data of a plurality of tilt images.

  In the next step 110, a cross section including the internal structure when the generated three-dimensional basic model is sliced by a predetermined plane at a predetermined interval (4 [nm] interval in this embodiment) on a plane parallel to the predetermined plane. A plurality of (67 in the present embodiment) slice images representing the shape are generated. The slice image data of this slice image is output to the computer 12 via the cable 20. The predetermined interval can be changed depending on the filler blended in the rubber material, and a value obtained in advance by experiment can be used.

  Here, FIG. 5 shows an example of a slice image generated by the CT scanner 11 according to the present embodiment.

The slice image shown in FIG. 5 is different from the tone image because the transmittance of the rubber, carbon black, and the high-density polymer layer on which the rubber and carbon black are adsorbed are different. It has become. Therefore, a high-density polymer layer can be discriminated based on the density of each pixel of the slice image. That is, as shown in FIG. 11, in the slice image, the density values are different in the rubber part, the carbon black part, and the high-density polymer layer.
Therefore, in the later-described three-dimensional model generation processing program, the high density polymer layer, the rubber portion, and the carbon black portion are discriminated from the slice image by adjusting the threshold value of the density of the slice image. This adjusted threshold value can be stored in the HDD 56. It is also possible to read the threshold value from the HDD 58 and adjust it again, and then store it again in the HDD 58.

  Next, the operation of the three-dimensional model generation process executed by the computer 12 will be described in detail with reference to FIG. FIG. 4 is a flowchart showing the flow of the three-dimensional model generation processing program.

In step 150 in the figure, the value is read from the threshold value holding data stored in the HDD 58. The read value is displayed on the display 14 as a threshold value. The user adjusts the threshold value displayed on the display 14 by an operation from the keyboard 15. In the next step 151, when a predetermined operation for determining the threshold value is performed by the user via the keyboard 15, the threshold value displayed on the display 14 is set to a density value for discriminating rubber and carbon black. Set as threshold h. In the three-dimensional model generation process according to the present embodiment, it is assumed that a value larger than B and less than or equal to D shown in FIG.
In the next step 152, 1 is set to the counter n. In the next step 154, slice image data indicating the nth slice image is read from the HDD 58. In the next step 155, it is determined whether or not the counter n is 1. If the determination is affirmative, the process proceeds to step 156. If the determination is negative, the process proceeds to step 157.

  In step 156, since the counter n is 1 and the process is for the first slice image, the threshold value for binarizing the slice image can be changed by the keyboard 15 with the threshold value h as a reference. Then, a binarized image obtained by binarizing the slice image with the changed threshold value h is displayed on the display 14. Further, a binary image obtained by binarizing the slice image with a threshold value (h ± Δh) finely adjusted within a predetermined range with reference to the threshold value h is displayed on the display 14. This display may be performed by dividing the display area of the display 14. In addition, each slice image may be switched and displayed at regular intervals. When the user selects a binarized image that is appropriately displayed using the keyboard 15, the threshold value used for the selected binarized image is reset as the threshold value h. Further, the reset value of the threshold value h is stored in the HDD 58 as threshold value holding data.

  FIG. 6 compares the density value of each pixel of the slice image shown in FIG. 5 with the reset threshold value h, and determines that pixels above the threshold value h are black and pixels below the threshold value h are white. A binarized binarized image is shown. In FIG. 6, the black portion is a high-density polymer layer portion, and the white portion is a rubber portion and a carbon black portion.

  Note that a converted image in which the pixel having the threshold value h in which the density value of each pixel of the slice image is changed is different from the other pixels may be displayed on the display 14. FIG. 12 shows a converted image obtained by comparing the density value of each pixel of the slice image shown in FIG. 5 with the reset threshold value h and converting the pixel of the threshold value h as black.

  In step 157, the density value of each pixel of the slice image indicated by the read slice image data is compared with the threshold value h to generate binary image data of a binary image obtained by binarizing each pixel. In the next step 158, the format of the binarized image data is converted into binarized image data in which the value of the black portion of the binarized image is “1” and the values of the other pixels are “0”. To do. FIG. 7 shows binary image data obtained by converting each pixel of the binary image shown in FIG. 6 into a numerical value as an image including the array. In FIG. 7, a portion having a pixel value “1” is a high-density polymer layer portion, and a portion having a pixel value “0” is a rubber portion and a carbon black portion.

  In the next step 160, it is determined whether or not the processing from reading to format conversion has been completed for all slice image data (in this embodiment, each slice image data of 67 slice images). If the determination is affirmative, the process proceeds to step 164. If the determination is negative, the process proceeds to step 162. In step 162, the counter n is incremented by 1, and the process proceeds to step 154 to read the next slice image data.

  On the other hand, in step 164, based on each binarized image data subjected to format conversion, the binarized images are stacked in the order of the slice positions of each slice image and at the above-described predetermined intervals to form a three-dimensional structure. Then, image processing is performed to form a three-dimensional region in which pixels having the same value are integrated as the same element between the respective binarized images, a three-dimensional model is generated, and a stereoscopic image of the three-dimensional model is displayed on the display 14. indicate. In addition, a slice image representing a cross-sectional shape including an internal structure obtained by slicing a three-dimensional model generated according to an instruction via the keyboard 15 from the user on a specified surface is displayed on the display 14.

  Here, FIG. 8 shows an example of a three-dimensional model three-dimensional image displayed on the display 14. In this example, the threshold value in the three-dimensional model generation process is adjusted to a concentration value (greater than B and less than D shown in FIG. 11) for discriminating between a high-density polymer layer, a rubber part, and carbon black. Yes. Therefore, FIG. 8 shows a three-dimensional image of the high-density polymer layer. Since carbon black forms a network structure inside the rubber material, as shown in FIG. 8, the high-density polymer layer on which rubber and carbon black are adsorbed has a complicated three-dimensional structure. Note that since the three-dimensional image of the three-dimensional model shown in FIG. 8 is reconstructed within the range of the rubber material acquired as a slice image, the rubber material up to the boundary of the acquired slice image is displayed. For this reason, when a high-density polymer layer continues across a slice image, the boundary part will be cut | disconnected by the predetermined plane.

  FIG. 9 shows a slice image representing a cross-sectional shape including an internal structure obtained by slicing the stereoscopic image of the three-dimensional model shown in FIG. 8 in a predetermined plane. Since the high-density polymer layer is generated at the interface portion between the rubber and the carbon black, it can be specified that the hollow inside of the high-density polymer layer is the carbon black portion. Moreover, the thickness of a high-density polymer layer can also be measured from the slice image shown in FIG.

  On the other hand, in FIG. 10, a three-dimensional model is generated for the rubber material in which silica and carbon black are blended as fillers by using the rubber material configuration display system 10 according to the present embodiment. An example of a slice image obtained by slicing a three-dimensional image of a dimensional model in a predetermined plane is shown. In this example, the threshold value in the three-dimensional model generation process is set to a concentration value (greater than B and less than C shown in FIG. 11) for distinguishing the high-density polymer layer, silica, rubber portion, and carbon black portion. It is adjusted. In the binarized image obtained by binarizing the slice image by using this threshold value, the silica portion becomes a black portion similar to the high-density polymer layer. However, it has been experimentally found that silica does not form a dense polymer layer around silica even when blended with rubber. Therefore, from the image shown in FIG. 10, the high-density polymer layer is hollow because the inside is carbon black. Therefore, carbon black and silica can be distinguished from the slice image obtained by slicing the three-dimensional model.

  As described above, according to the present embodiment, the computer 12 acquires a plurality of slice image data of a rubber material from the external I / O control unit 60 via the cable 20. The threshold value h of the image density in the slice image is adjusted by the user via the keyboard 15. When the three-dimensional model generation process is executed, the CPU 40 converts each slice image into a binary image based on the density value of each pixel of the slice image and the threshold value h. Further, in the three-dimensional model generation process, the CPU 40 stacks a plurality of converted binarized images in the order of slice positions of each slice image at a predetermined interval, and a pixel region having the same value between the binarized images. To generate a three-dimensional model. The display 14 displays slice images in which the density values of the generated high-density polymer layer region and the region other than the high-density polymer layer in the generated three-dimensional model are different. Thereby, the form of the high-density polymer layer which carbon black and rubber have adsorbed can be visualized.

  Further, the threshold value adjusted by storing the density threshold value h in the HDD 58 can be used, and the labor of adjustment can be reduced.

  Further, in the present embodiment, a threshold value is displayed on the display 14 from the threshold value holding data stored in the HDD 58 in the three-dimensional model generation process, and the adjusted threshold value is set as the threshold value h. However, the present invention is not limited to this. For example, the threshold value stored in the HDD 58 in a process different from the three-dimensional model generation process is described. Data values may be adjusted, and each pixel of the slice image may be binarized using the value of the threshold value holding data stored in the HDD 58 in the three-dimensional model generation process. As a result, once the adjustment is properly performed, it is not necessary to adjust the threshold value again, and the acquired slice image can be immediately converted into a binarized image.

  In addition, an appropriate threshold value for discriminating a high-density polymer layer from a rubber portion and a carbon black portion by an experiment, etc. May be obtained in advance and stored in the HDD 58. Thereby, the trouble of adjusting the threshold value can be saved.

  In the present embodiment, the case where the slice image is converted into the binarized image based on the adjusted threshold value of the image density has been described. However, the present invention is not limited to this, and for example, A sliced image may be a binarized image with pixels in which the image density is in a predetermined range (for example, the image density is not less than B and less than C shown in FIG. 11) and other pixels. Thereby, the form of only a rubber part or only a carbon black part can be visualized.

  In the present embodiment, the case where the computer 12 is connected to the CT scanner 11 via the cable 20 to acquire slice image data has been described. However, the present invention is not limited to this, and for example, a recording tape, The configuration may be such that acquisition is performed via a recording medium such as an MO, a memory card, or a CD-ROM. When these are used, a read / write device corresponding to the computer 12 may be provided.

  It should be noted that the configurations of the CT scanner 11 and the computer 12 described in the present embodiment are merely examples, and it goes without saying that they can be changed as appropriate without departing from the spirit of the present invention.

  The processing flow of the slice image generation process and the three-dimensional model generation process (see FIGS. 3 and 4) described in the present embodiment is also an example, and can be changed as appropriate without departing from the gist of the present invention. Needless to say.

1 is an overall configuration diagram of a rubber material deformation behavior prediction system according to an embodiment. It is a block diagram of the electric system of the computer which concerns on this Embodiment. It is a flow which shows the flow of a process of the slice image generation process which concerns on this Embodiment. It is a flow which shows the flow of a process of the three-dimensional model generation process which concerns on this Embodiment. It is a figure which shows an example of the slice image which concerns on this Embodiment. It is a figure which shows the binarized image which binarized the slice image of FIG. 5 which concerns on this Embodiment. It is a figure which shows the image including the arrangement | sequence of the binarized image data which converted each pixel of the binarized image shown by FIG. 6 which concerns on this Embodiment into the numerical value. It is a figure which shows an example of the three-dimensional model of the three-dimensional model displayed on the display which concerns on this Embodiment. It is a figure which shows an example of the slice image which sliced the solid image of the three-dimensional model shown in FIG. 8 displayed on the display which concerns on this Embodiment in the predetermined plane. An example of a slice image in which a three-dimensional model is generated for a rubber material containing silica and carbon black displayed on the display according to the present embodiment and a stereoscopic image of the three-dimensional model is sliced in a predetermined plane is shown. FIG. It is a figure which shows the relationship of the density | concentration value of the rubber part of a slice image which concerns on this Embodiment, a carbon black part, a silica part, and a high-density polymer layer part. It is a figure which shows the conversion image which converted the slice image of FIG. 5 which concerns on this Embodiment.

Explanation of symbols

10 Rubber Material Form Display System 12 Computer (Deformation Behavior Prediction Device)
14 Display (display means)
15 Keyboard (Adjustment means)
40 CPU (conversion means, generation means)
60 External I / O control unit (acquisition means)

Claims (5)

A plurality of images obtained by using a transmission electron tomography method of a rubber material having a predetermined shape in which a high-density polymer layer in which the rubber and the filler are adsorbed is formed by mixing a filler with rubber. Reconstructing a three-dimensional basic model by a tomography method, obtaining a slice image representing a cross-sectional shape including an internal structure when the three-dimensional basic model is sliced by a predetermined plane,
Adjusting a threshold value of image density in the slice image for discriminating the high-density polymer layer, rubber part and filler part contained in the rubber material;
Based on the density value of each pixel obtained by dividing the slice image by a predetermined number of lengths and widths and the adjusted threshold value, the slice image is set to a pixel value corresponding to the threshold value that is different from other pixels. Convert to converted image,
A method for displaying a form of a rubber material, wherein the converted image is displayed on a display means. Obtaining a plurality of slice images obtained by slicing at predetermined intervals before Symbol 3-dimensional base model through a predetermined plane,
Converts as before Symbol conversion image into a binary image,
A plurality of binarized image is converted laminated in order is and the predetermined distance of the slice position of the slice image, to form a region that integrates pixels of the same value as the same elements among the binarized image To generate a 3D model ,
Displaying at least the density of the the polymer layer regions rubber part and slice image of the said three-dimensional model of the density value was different from that of said filler portion of the region based on that were generated the three-dimensional model The method for indicating the form of a rubber material according to claim 1. Stored in the storage means adjusted by said threshold,
The rubber according to claim 1 or 2, wherein each slice image is converted into a converted image based on a density value of each pixel of the slice image and the threshold value stored in the storage means. Material form display method . In the rubber material, carbon black is blended in the rubber as a filler to form a high-density polymer layer in which the rubber and the carbon black are adsorbed,
The threshold value of the image density is a density value for discriminating between the high-density polymer layer contained in the rubber material and a rubber part and a carbon black part. A method for indicating the form of a rubber material according to any one of the preceding claims . The rubber material is further blended with silica as a filler in the rubber,
The threshold value of the image density is a density value for discriminating between the high-density polymer layer and silica part and the rubber part and carbon black part contained in the rubber material,
Based on the three-dimensional model, a slice image of the three-dimensional model is displayed in which the density values of at least the high-density polymer layer and the silica portion region and the rubber portion and the carbon black portion region are different. The method for indicating the form of a rubber material according to claim 4.

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