The present invention relates to a breast imaging apparatus, a dose calculating apparatus, a control method for the breast imaging apparatus, a dose calculating method, and a non-transitory computer-readable medium.
A breast imaging apparatus has a function of outputting the actual performance records concerning average mammary gland doses after breast imaging to manage radiation exposure doses. Japanese Patent Laid-Open No. 2009-100926 discloses a method of obtaining an average mammary gland dose based on a correction coefficient for each pixel with respect to a difference from 50% of the mammary gland content ratio obtained for each pixel and correction coefficients with respect to materials for an anode and a radiation quality filter. Japanese Patent Laid-Open No. 2017-047103 discloses, as an imaging condition setting unit for a breast tomography apparatus, a method of obtaining imaging conditions before an imaging operation from the three-dimensional shape of the breast and mammary gland content ratios.
Conventional techniques, however, have given no consideration to the three-dimensional distribution of the mammary gland in the breast when outputting the actual performance records concerning doses at the time of breast tomography, and hence have had difficulty in calculating accurate mammary gland doses.
According to embodiments of the present invention, a breast imaging apparatus which can calculate accurate mammary gland doses is provided.
According to one aspect of the present invention, there is provided a breast imaging apparatus that obtains a tomographic image of a breast of an object, the apparatus comprising: an obtaining unit configured to obtain an imaging condition when the tomographic image is obtained; a generating unit configured to generate a breast model including a specific tissue with respect to the breast of the object; and a calculating unit configured to calculate a dose of radiation absorbed by the specific tissue by a radiation imaging simulation using the imaging condition and the breast model.
According to another aspect of the present invention, there is provided a dose calculating apparatus comprising: an obtaining unit configured to obtain a tomographic image of an object and an imaging condition when the tomographic image is obtained; a generating unit configured to generate a three-dimensional model with a three-dimensional area of a specific tissue of the object and a three-dimensional area other than the specific tissue being discriminated; and a calculating unit configured to calculate a dose of radiation absorbed by the specific tissue based on the imaging condition and the three-dimensional model.
According to another aspect of the present invention, there is provided a control method for a breast imaging apparatus that obtains a tomographic image of a breast of an object, the method comprising: obtaining an imaging condition when the tomographic image is obtained; generating a breast model including a three-dimensional model of a specific tissue with respect to the breast of the object; and calculating a dose of radiation absorbed by the specific tissue by a radiation imaging simulation using the imaging condition and the breast model.
According to another aspect of the present invention, there is provided a dose calculating method comprising: obtaining a tomographic image of an object and an imaging condition when the tomographic image is obtained; generating a three-dimensional model with a three-dimensional area of a specific tissue of the object and a three-dimensional area other than the specific tissue being discriminated; and calculating a dose of radiation absorbed by the specific tissue based on the imaging condition and the three-dimensional model.
According to another aspect of the present invention, there is provided a non-transitory computer-readable medium storing a program for causing a computer to execute a control method for a breast imaging apparatus configured to obtain a tomographic image of a breast of an object, the control method comprising: obtaining an imaging condition when the tomographic image is obtained; generating a breast model including a three-dimensional model of a specific tissue with respect to the breast of the object; and calculating a dose of radiation absorbed by the specific tissue by a radiation imaging simulation using the imaging condition and the breast model.
According to another aspect of the present invention, there is provided a non-transitory computer-readable medium storing a program for causing a computer to execute a dose calculating method, the dose calculating method comprising: obtaining a tomographic image of an object and an imaging condition when the tomographic image is obtained; generating a three-dimensional model with a three-dimensional area of a specific tissue of the object and a three-dimensional area other than the specific tissue being discriminated; and calculating a dose of radiation absorbed by the specific tissue based on the imaging condition and the three-dimensional model.
Further features of the present invention will become apparent from the following description of exemplary embodiments (with reference to the attached drawings).
The embodiments of the present invention will be described below by referring to the accompanying drawings as needed. Although each embodiment will exemplify a case in which the tomographic images obtained by a breast CT apparatus are used, the present invention can also be applied to a breast tomosynthesis apparatus and other types of tomography apparatuses.
The first embodiment will exemplify a breast imaging apparatus (to be referred to as a breast tomography apparatus 100) that obtains a tomographic image of the breast of an object by using
The arrangement of the breast tomography apparatus 100 will be described first with reference to
In step S151, the tomographic image input unit 101 inputs a three-dimensional tomographic image of an object breast. For example, the tomographic image input unit 101 obtains a three-dimensional tomographic image by obtaining a plurality of tomographic images arrayed in a direction perpendicular to the slice direction from the storage unit 1710. In step S152, the imaging condition input unit 103 obtains imaging conditions when obtaining a tomographic image of the object breast. The imaging conditions are stored in the storage unit 1710. Note that the imaging conditions include, for example, a tube voltage, a radiation target material, the position/shape/material of an added filter, a cone angle, a fan angle, the position/shape/material of a collimator, a tube current, an irradiation time, a rotational speed, a projection count, the distance from a radiation focus to a rotation center, the distance from a radiation focus to the radiation detector, and an air kerma measured at the rotation center.
In step S153, the breast model generation unit 102 generates a breast model including a specific tissue with respect to the breast of an object. In this embodiment, the specific tissue is a mammary gland. More specifically, the breast model generation unit 102 generates a three-dimensional breast model including the breast interior by using the tomographic images of the object breast input in step S151 and the imaging conditions input in step S152. A three-dimensional breast model indicates a three-dimensional model area of at least the mammary gland and adipose. Note that a three-dimensional breast model generation method performed by the breast model generation unit 102 will be described in detail later. A three-dimensional breast model will be simply referred to as a breast model hereinafter.
In step S154, the simulation condition generation unit 104 generates simulation conditions based on the breast model generated in step S153 and the imaging conditions input in step S152. Note that a simulation condition generation method will be described in detail later.
In step S155, the mammary gland dose calculating unit 105 calculates the dose of radiation absorbed by a specific tissue (mammary gland) by a radiation imaging simulation using the imaging conditions and the breast model. More specifically, the mammary gland dose calculating unit 105 performs a simulation based on the simulation conditions generated in step S154 to calculate mammary gland doses that are the doses of radiation absorbed by the mammary gland. A mammary gland dose calculating method will be described in detail later. In step S156, the mammary gland dose output unit 106 outputs the mammary gland doses. In outputting the mammary gland doses, for example, this data may be stored in the storage unit 1710 as data to be displayed on the display device 1703 or stored in the storage unit 1710 together with image data.
The processing from steps S151 to S156 is performed in the above manner to generate a three-dimensional model of the breast from tomographic images of the object and calculate and output the doses of radiation absorbed by the mammary gland using a simulation, thereby accurately managing the exposure doses on the breast.
An object breast model generation method in the breast model generation unit 102 will be described next with reference to
A processing procedure executed by the breast model generation unit 102 will be described in detail with reference to
In step S252, the substance information conversion unit 203 obtains the imaging conditions 202 input by the imaging condition input unit 103. In this case, the substance information conversion unit 203 obtains the energy information of radiation associated with linear attenuation coefficients. In step S253, the substance information conversion unit 203 converts the pixels (to be referred to as voxels hereinafter) of each tomographic image into target substances based on the pixel values of the tomographic image 201 and the energy information of radiation of the imaging conditions 202. The following will exemplify a case in which the breast is separated into the mammary gland and the adipose.
As described above, a three-dimensional model (called a breast model) of the breast is generated by classifying the respective voxels in the breast in a three-dimensional tomographic image into mammary gland voxels and adipose voxels. In step S254, the three-dimensional model output unit 204 outputs the generated three-dimensional model (breast model 502). Performing the processing from step S251 to step S254 described above can generate the breast model 502 as a three-dimensional model of the breast from tomographic images of the breast of the object.
Note that although the above embodiment has exemplified the case in which the breast is separated into the mammary gland and the adipose, the breast may be separated into the mammary gland, the adipose, the skin, an implant, a calcified part, and the like. Increasing the number of separated parts in this manner can generate a more accurate three-dimensional breast model and cope with various types of objects. In addition, introducing the skin into a model allows dose measurement on the skin.
A simulation condition generation method in the simulation condition generation unit 104 will be described next with reference to
A processing procedure executed by the simulation condition generation unit 104 will be described in detail next with reference to the flowchart of
In step S552, the geometric arrangement setting unit 503 obtains the breast model 502 generated by the breast model generation unit 102. As described above, in the breast model 502, each voxel is discriminated as a breast voxel or an adipose voxel. Note that the central coordinates of this breast model coincide with the rotation center.
In step S553, the geometric arrangement setting unit 503 sets an initial geometric arrangement based on the imaging conditions and the breast model.
Referring to
In step S554, the irradiation condition setting unit 504 sets irradiation conditions as the simulation conditions 801 based on the imaging conditions 501. The irradiation conditions set in this case include the spectrum of radiation to be applied, a photon count, and a projection count.
A photon count may be set in accordance with a required accuracy and a required calculation time. The larger the photon count, the higher the accuracy of calculation results and the longer the calculation time. Note that such photon counts are distributed for the respective energies in accordance with the above radiation spectrum. In the first embodiment, a photon count setting method is set in accordance with a required accuracy and a required calculation time. However, when photon counts are known in advance, the same photon counts as those set at the time of actual imaging may be set.
As many a projection count as that set at the time of obtaining tomographic images may be set. Although in the first embodiment, as many a projection count as that set at the time of obtaining tomographic images is set, a simulation may be performed with a projection count smaller than that set at the time of obtaining tomographic images of the breast. That is, the projection count may be reduced in accordance with a required accuracy, a required calculation time, and the like. Assume that the projection count is reduced to ½. In this case, when the projection count at the time of imaging is 360 and the angular intervals between the projections are 1°, the set projection count is set 180, and the angular intervals between the projections are set to 2°. Setting a projection count smaller than the projection count at the time of imaging can shorten the required time for dose calculation (to be described later).
As described above, the simulation condition generation unit 104 sets the simulation conditions 801 by performing the processing from step S551 to step S554.
A mammary gland dose (average mammary gland dose) calculating method by using the mammary gland dose calculating unit 105 will be described next with reference to
A processing procedure executed by the mammary gland dose calculating unit 105 will be described in detail next with reference to
In step S851, the mammary gland absorbed energy calculating unit 802 and the air kerma calculating unit 803 obtain the simulation conditions 801 set by the simulation condition generation unit 104 described above. In step S852, the mammary gland absorbed energy calculating unit 802 obtains a mammary gland dose by a simulation by calculating the energy absorbed in the mammary gland. The unit of energy absorbed in the mammary gland is [mGy]. Note that a calculating method performed by the mammary gland absorbed energy calculating unit 802 will be described later.
In step S853, the air kerma calculating unit 803 calculates an air kerma at the time of simulation at the rotation center position of radiation applied under the simulation conditions 801. Note that the air kerma calculated in this case may differ from that of radiation applied at the time of obtaining a tomographic image or from that of radiation at the time of the above mammary gland dose calculation. For the sake of simplicity, assume that in this embodiment, an air kerma is calculated with the same photon count as that used by the mammary gland absorbed energy calculating unit 802. At this time, the unit of air kerma is [mGy].
In step S854, the mammary gland dose coefficient calculating unit 804 calculates a mammary gland dose coefficient for converting an air kerma into an average mammary gland dose. A mammary gland dose coefficient can be calculated by using equation (1):
where DgNCT is a mammary gland dose coefficient, Dgsim is the mammary gland dose obtained by the above simulation, and Dairsim is an air kerma at the time of the above simulation.
In step S855, the average mammary gland dose calculating unit 805 calculates an average mammary gland dose by using mammary gland dose coefficients and imaging conditions. An average mammary gland dose is calculated by using equation (2):
D
g
=D
g
N
CT
×D
air
where Dg is a mammary gland dose, DgNCT is a mammary gland dose coefficient, and Dair is an air kerma. The air kerma is the one measured at the rotation center under the same conditions as those set at the time of obtaining a tomographic image. An air kerma is preferably obtained in advance.
Note that an air kerma is obtained as a measurement result at the rotation center. However, this is not exhaustive. For example, it is possible to use a measurement result from an area dosimeter arranged near a radiation irradiation unit. That is, the average mammary gland dose calculating unit 805 may calculate an average mammary gland dose from mammary gland dose coefficients and dose values obtained by the area dosimeter. In this case, the air kerma calculated in step S853 is arranged in the same manner. In addition, using the doses obtained by the area dosimeter can incorporate the variable ratios of doses in a calculation at the time of simulation in step S852.
As described above, performing the calculation from step S851 to step S855 can calculate mammary gland doses from a three-dimensional model of the breast. Using the simulation using a three-dimensional arrangement of the mammary gland in this manner can more accurately calculate the actual performance records concerning the absorbed doses of the mammary gland.
In step S902, the mammary gland absorbed energy calculating unit 802 checks whether simulations corresponding to the projection count have been performed. If simulations corresponding to the projection count have been performed, the process advances to step S904. If simulations corresponding to the projection count have not been performed, the process advances to step S903. In step S903, the mammary gland absorbed energy calculating unit 802 updates the geometric arrangement under simulation conditions. In this case, the mammary gland absorbed energy calculating unit 802 updates the geometric arrangement by changing the arrangement of the radiation irradiation unit, the added filter, and the radiation detection unit centered on the rotation center in accordance with the angular intervals between projections. After step S903, the process returns to step S901, in which the mammary gland absorbed energy calculating unit 802 performs a radiation imaging simulation with the changed geometric arrangement.
In step S904, the mammary gland absorbed energy calculating unit 802 calculates the sum Fgsim of energies absorbed by the mammary gland by using the counted photon count and the corresponding energies according to equation (3):
F
gsim
=∫E×N(E)dE
where E is the energy of a photon, and N(E) is the number of photons absorbed by the mammary gland for each energy.
In step S905, the mammary gland absorbed energy calculating unit 802 calculates a mammary gland dose by a simulation based on equation (4) from the sum of energies of radiation absorbed by the mammary gland, and provides the mammary gland dose to the mammary gland dose coefficient calculating unit 804.
where Fgsim is the sum of energies of radiation absorbed by the mammary gland and Mgsim is the mass of the mammary gland. The mass of the mammary gland may be obtained by multiplying the sum of volumes of voxels classified as mammary gland voxels by the density [g/cm3] of the mammary gland. Note that as the density [g/cm3] of the mammary gland, for example, the value disclosed in NIST (https://www.nist.gov/) or the like may be used. In addition, α is a coefficient for the conversion of a unit into [mGy]. For example, when the unit of Fgsim is [keV] and the unit of Mgsim is [kg], α is 1.60218×10−13.
As described above, performing the processing from step S901 to step S904 can obtain a mammary gland dose from a three-dimensional model of the mammary gland. According to this embodiment, because a mammary gland dose is calculated in this manner based on the three-dimensional model of the mammary gland, that is, the three-dimensional distribution of the mammary gland, a more accurate average mammary gland dose can be calculated.
In the first embodiment, in step S156 (
In the first embodiment, a mammary gland dose is calculated from the overall breast area. However, this is not exhaustive. A mammary gland dose may be calculated from a partial area of the object breast.
Subsequent steps S853, S854, and S855 are the same as those described in the first embodiment (
The arrangement and basic operation of a breast tomography apparatus according to the second embodiment are the same as those of the first embodiment. A breast model generation method according to the second embodiment and a mammary gland dose calculating method using the breast model generation method will be described, mainly focusing on differences from the first embodiment. In the second embodiment, a breast model generation unit 102 generates a breast model with a small number of voxels by reducing tomographic image images. In addition, the breast model generation unit 102 generates a three-dimensional model of the mammary gland by using voxels classified as mixture voxels of mammary gland and adipose voxels based on voxel values. For example, in the second embodiment, the breast model generation unit 102 handles the overall breast as a mixture of the mammary gland and the adipose, calculates the mammary gland density for each voxel (from, for example, a ratio between the mammary gland and the adipose), and generates a breast model as the mixture of the mammary gland and the adipose. A mammary gland dose calculating unit 105 performs a simulation similar to that in the first embodiment based on the generated breast model, and performs calculation based on the mammary gland densities, thereby calculating a mammary gland dose. That is, the mammary gland dose calculating unit 105 calculates the absorbed dose of the mammary gland for each voxel based on the radiation absorbed dose of each voxel constituting the breast model and the mammary gland density as the ratio of the mammary gland and the adipose which is decided based on voxel values. In the second embodiment, it is possible to shorten the calculation time taken for a simulation by reducing a breast model.
The arrangement of the breast model generation unit 102 and the breast model generation method according to the second embodiment will be described with reference to
Processing executed by the breast model generation unit 102 will be described next with reference to the flowchart of
In step S1251, the tomographic image reduction unit 1201 reduces the voxel count of each tomographic image 201. The following is a case in which the voxel count is reduced to ⅛.
In step S253, the substance information conversion unit 203 converts the voxels of each tomographic image into target substances based on the voxel values of each reduced tomographic image and the imaging conditions 202 (radiation energy information). In this case, unlike in the first embodiment, target substances corresponding to linear attenuation coefficients are the mammary gland, the adipose, and their mixture. For example, when a linear attenuation coefficient is an intermediate value between the mammary gland and the adipose, the corresponding voxel is converted into a mixture voxel having a mammary gland density of 50% (0.5). In step S254, the three-dimensional model output unit 204 outputs the three-dimensional model calculated in the above manner as the breast model 502.
A mammary gland dose calculating method in the mammary gland dose calculating unit 105 will be described next with reference to the flowchart of
A mammary gland absorbed energy calculating method performed by a mammary gland absorbed energy calculating unit 802 according to the second embodiment will be described with reference to the flowchart of
In step S902, the mammary gland absorbed energy calculating unit 802 checks whether simulations corresponding to a projection count have been performed. If simulations corresponding to a projection count have been performed, the process advances to step S904; otherwise, the process advances to step S903. In step S903, the mammary gland absorbed energy calculating unit 802 updates the geometric arrangement in accordance with the simulation conditions 801. This processing is the same as that in the first embodiment.
In step S904, the mammary gland absorbed energy calculating unit 802 calculates the sum of energies absorbed by the mammary gland based on equation (5) by using the counted photon counts and their energies. Note that when the energy of each photon has a range as in the table 1401 in
F
gsim
=∫∫E×N(E,I)×R(E,I)dEdI
where E is the energy of a photon, I is a voxel position, and N(E, I) is the number of photons absorbed by each voxel for each energy. In addition, R(E, I) is a coefficient corresponding to the mammary gland density of a voxel, and is calculated based on equation (6):
where E is the energy of a photon, I is a voxel position, μbreast(E) is the linear attenuation coefficient of the mammary gland for each energy, μadipose(E) is the linear attenuation coefficient of the adipose for each energy, and rbreast(I) is the mammary gland density of a target voxel.
In step S905, the mammary gland absorbed energy calculating unit 802 calculates the mammary gland dose Dgsim from the sum of the energies of radiation absorbed by the mammary gland according to equation (7):
where Fgsim is the sum of the energies of radiation absorbed by the mammary gland, Mgsim is the mass of the mammary gland, and α is a coefficient for the conversion of a unit into [mGy]. For example, when the unit of Fgsim is [keV] and the unit of Mgsim is [kg], α is 1.60218×10−13. The mass Mgsim of the mammary gland may be multiplied by a mammary gland density (the ratio between the mammary gland and the adipose) for each voxel to obtain the volume of the overall mammary gland, and the volume may be multiplied by a mammary gland density [g/cm3].
As described above, performing the processing from step S901 to step S907 makes it possible to calculate a three-dimensional model of the mammary gland upon reducing tomographic images and obtain a mammary gland dose. Reducing the breast model from tomographic images in this manner can speed up a mammary gland dose calculation.
In the second embodiment, no limitation is imposed on the step size of mammary gland densities calculated by the substance information conversion unit 203. Modification 2-1 will exemplify a case in which the step size of mammary gland densities is set to 10% (0.1). The substance information conversion unit 203 decides a mammary gland density corresponding to the energy of radiation and a pixel value. Because mammary gland densities are set in increments of 10%, a mammary gland density is decided depending on to which mammary gland density value the pixel value of a target voxel is closest. Setting mammary gland densities in advance by using a preset step size allows the mammary gland absorbed energy calculating unit 802 to count the energies absorbed by the mammary gland for each mammary gland density and totalize the energy count for each mammary gland density.
Totaling energies for each mammary gland density in the above manner eliminates the necessity to hold a result for each voxel. In addition, the sum Fgsim of energies absorbed by the mammary gland can be calculated according to equation (8):
F
gsim
=∫∫E×N(E,r)×R(E,r)dEdr
where E is the energy of a photon, r is a mammary gland density, N(E, r) is the number of photons absorbed for each energy and each mammary gland density, and R(E, r) is a coefficient corresponding to a mammary gland density. The coefficient R(E, r) is calculated according to equation (9):
where E is the energy of a photon, r is a mammary gland density, μbreast(E) is the linear attenuation coefficient of the mammary gland for each energy, and μadipose(E) is the linear attenuation coefficient of the adipose for each energy.
Totaling energies for each mammary gland density in this manner makes it possible to calculate absorbed energies for each mammary gland density and speed up calculation.
The second embodiment has exemplified the method of reducing voxels when generating a breast model. It is also possible to divide a breast model into areas. In modification 2-2, the breast model generation unit 102 divides a breast model into a plurality of partial areas and decides a mammary gland density (for example, a ratio between the mammary gland and the adipose) based on the average value of voxel values in each of the plurality of partial areas. The mammary gland dose calculating unit 105 then calculates the absorbed dose of the mammary gland for each partial area based on a radiation absorbed dose for each partial area and a mammary gland density for each partial area.
In modification 2-2, the mammary gland dose calculating unit 105 calculates a mammary gland density based on an average pixel value for each of these areas, and calculates the energy absorbed by the mammary gland. Dividing a model in this manner can speed up calculation. In addition, as a mammary gland dose in the second embodiment, an average mammary gland dose of the overall breast is output. However, a mammary gland dose of each of the plurality of partial areas can be output. Outputting a mammary gland dose for each area in this manner makes it possible to check, for example, which area exhibits the highest mammary gland dose. Note that calculating a mammary gland density for each partial area can perform mammary gland component classification in accordance with the mammary gland density of each partial area (for example, a ratio between the mammary gland and the adipose). For example, mammary gland components can be classified into “almost entirely fat”, “scattered fibroglandular densities”, “heterogeneously dense”, “extremely dense”, and the like and output the classification result.
In the second embodiment, mammary gland densities are calculated with respect to reduced tomographic images. However, it is possible to generate a breast model by calculating mammary gland densities from the pixel values of tomographic images that are not reduced.
In the first and second embodiments, mammary gland doses are calculated. However, using a similar simulation, the absorbed dose of other tissues, for example, incident skin doses, can be output. In this case, the breast model generation unit generates a breast model including a three-dimensional model of a skin area as a three-dimensional model of a specific tissue area. A radiation imaging simulation is then performed based on the three-dimensional model and imaging conditions. With this simulation, a skin absorbed dose coefficient indicating how much radiation is absorbed by the skin with respect to an air kerma is calculated by counting energies absorbed by the skin. A skin dose can be calculated by multiplying the actually measured skin absorbed dose coefficient obtained in this manner with the air kerma.
The first and second embodiments each have exemplified the breast imaging apparatus. However, this is not exhaustive. This apparatus may be provided as a dose calculation apparatus that calculates the absorbed dose of a specific tissue in a predetermined region of an object (for example, an apparatus that is incorporated in a breast tomography apparatus and calculates a mammary gland dose or skin dose). In this case, the dose calculation apparatus obtains a tomographic image of an object and imaging conditions at the time of obtaining the tomographic image from a storage unit 1710. The dose calculation apparatus generates a three-dimensional model with a three-dimensional area of a specific tissue of an object and a three-dimensional area other than the specific tissue being discriminated based on tomographic images. The dose calculation apparatus calculates the dose of radiation absorbed by the specific tissue based on the obtained imaging conditions and the generated three-dimensional model.
Embodiment(s) of the present invention can also be realized by a computer of a system or apparatus that reads out and executes computer executable instructions (e.g., one or more programs) recorded on a storage medium (which may also be referred to more fully as a ‘non-transitory computer-readable storage medium’) to perform the functions of one or more of the above-described embodiment(s) and/or that includes one or more circuits (e.g., application specific integrated circuit (ASIC)) for performing the functions of one or more of the above-described embodiment(s), and by a method performed by the computer of the system or apparatus by, for example, reading out and executing the computer executable instructions from the storage medium to perform the functions of one or more of the above-described embodiment(s) and/or controlling the one or more circuits to perform the functions of one or more of the above-described embodiment(s). The computer may comprise one or more processors (e.g., central processing unit (CPU), micro processing unit (MPU)) and may include a network of separate computers or separate processors to read out and execute the computer executable instructions. The computer executable instructions may be provided to the computer, for example, from a network or the storage medium. The storage medium may include, for example, one or more of a hard disk, a random-access memory (RAM), a read only memory (ROM), a storage of distributed computing systems, an optical disk (such as a compact disc (CD), digital versatile disc (DVD), or Blu-ray Disc (BD)™), a flash memory device, a memory card, and the like.
While the present invention has been described with reference to exemplary embodiments, it is to be understood that the invention is not limited to the disclosed exemplary embodiments. The scope of the following claims is to be accorded the broadest interpretation so as to encompass all such modifications and equivalent structures and functions.
This application claims the benefit of Japanese Patent Application No. 2017-174246, filed Sep. 11, 2017, which is hereby incorporated by reference herein in its entirety.
Number | Date | Country | Kind |
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2017-174246 | Sep 2017 | JP | national |