Ultrasonic image analysis method
By constructing ultrasound diagnostic data sets and training convolutional neural network models, preprocessing and edge detection of ultrasound images is solved, and the problems of low efficiency and insufficient accuracy of ultrasound images are achieved, achieving more efficient and accurate ultrasound image analysis.
Patent Information
- Application Number
- CN202411831168.7
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-12-12
- Publication Date
- 2025-05-06
- Estimated Expiration
- 2044-12-12
AI Technical Summary
Existing ultrasound image analysis methods rely on manual identification and analysis, resulting in low diagnostic efficiency and easy missed diagnosis.
By constructing an ultrasound diagnostic data set, training a convolutional neural network model, preprocessing and edge detection of ultrasound images, inputting the results into the trained model for analysis.
It improves the accuracy and efficiency of ultrasound image diagnosis, and reduces the deviation and risk of missed diagnosis in manual diagnosis.
Smart Images

Figure CN119941626A_ABST
Abstract
Description
Technical Field
[0001] The present invention belongs to the technical field of medical image analysis, and in particular relates to an ultrasonic image analysis method. Background Art
[0002] Ultrasound data refers to ultrasound images and diagnostic data generated by doctors during the process of diagnosing and treating patients. Currently, ultrasound data is usually stored in ultrasound equipment, workstations, or hospital PACS (Picture Archiving and Communication Systems) systems. However, ultrasound equipment, workstations, and PACS systems only store ultrasound data and cannot identify or analyze ultrasound images. Ultrasound physicians are usually required to manually identify and analyze ultrasound images, which is a heavy workload and can easily lead to missed diagnoses. Summary of the invention
[0003] The purpose of the present invention is to provide an ultrasonic image analysis method, which solves the problems of large deviation and low efficiency of existing manual diagnosis of ultrasonic images by constructing an ultrasonic diagnostic data set to train an ultrasonic diagnostic model, preprocessing the images collected by the ultrasonic probe and performing edge detection, and inputting the edge detection results into the trained ultrasonic diagnostic model.
[0004] In order to solve the above technical problems, the present invention is achieved through the following technical solutions:
[0005] The present invention is an ultrasonic image analysis method, comprising the following steps:
[0006] Step S1: Start the ultrasound device and collect ultrasound images of the patient's examination area through the ultrasound probe;
[0007] Step S2: preprocessing the ultrasound image;
[0008] Step S3: performing edge detection on the preprocessed ultrasound image;
[0009] Step S4: collecting historical ultrasound images for format conversion;
[0010] Step S5: resampling all ultrasound images;
[0011] Step S6: Select appropriate window width and window height for ultrasound images of different parts, complete the conversion of ultrasound images, and construct an ultrasound diagnosis data set;
[0012] Step S7: inputting the ultrasound diagnosis data set into the convolutional neural network to train the ultrasound diagnosis model;
[0013] Step S8: The ultrasonic image to be detected is subjected to edge detection and then input into the trained ultrasonic diagnosis model.
[0014] As a preferred technical solution, in step S2, the specific process of preprocessing is as follows:
[0015] Step S21, color space conversion: converting the original image from RGB color space to HSV color space or Lab color space;
[0016] Step S22, image segmentation: using the color information and brightness information, using an image segmentation algorithm to separate the shadow area from the non-shadow area in the processed image;
[0017] Step S23, shadow correction: retrieve the brightness value of the area or adjust the color value to offset the effect;
[0018] Step S24, fusion processing: re-fusion of the processed shadow area with the original non-shadow area to obtain an image with the shadow removed;
[0019] Step S25, image contrast enhancement: separate the image into BGR three-channel images, perform histogram equalization on the three channels respectively using local histogram equalization, and merge the channel images into a target image.
[0020] As a preferred technical solution, in step S21, the original ultrasound image is set to f(x,y)=c(x,y)×l(x,y)+(1-f(x,y)); wherein c(x,y) is the color value at the pixel (x,y), and l(x,y) is the transmittance of the ultrasound film at the pixel (x,y). The specific process of color space conversion is as follows:
[0021] Step S211: converting the original ultrasound image into a grayscale image;
[0022] Step S212: calculating the local contrast of the grayscale image;
[0023] Step S213: Calculate the gain factor according to the local contrast. The specific calculation formula is as follows:
[0024]
[0025] Where M is the local contrast, Q is the predefined threshold, Gain factor;
[0026] Step S214: performing a gain operation on the original image using the gain factor, multiplying the gray value of each pixel by the gain factor at the corresponding position;
[0027] Step S215: Obtain the dark primary color pixel distribution function I of the dark primary color ultrasound image by adjusting the parameters dark (x,y):
[0028]
[0029] In the formula, c dark (x,y) is the dark color value at pixel (x,y).
[0030] As a preferred technical solution, in step S3, the process of edge detection on the preprocessed ultrasound image is as follows:
[0031] Step S31: according to the association between the noise pixel points and the adjacent elements, a partition mean filtering algorithm is used to perform smoothing and noise reduction processing on the noise points of the ultrasound image;
[0032] Step S32: performing non-maximum suppression processing on the image after noise smoothing processing;
[0033] Step S33: The pixel points are connected one by one to form a final edge detection image of the noise target image.
[0034] As a preferred technical solution, in step S31, the function formula of the smoothing noise reduction process is as follows:
[0035]
[0036] Where, σ is the spatial scale coefficient of the Gaussian filter;
[0037] After smoothing the target ultrasound image, the partial derivative functions in the x and y directions are calculated respectively. The specific formulas are as follows:
[0038]
[0039] The original ultrasound image f(x, y) is convolved to obtain the gradient direction θ(i, j) and gradient value of each pixel in the target image. The calculation formulas are:
[0040]
[0041] As a preferred technical solution, in step S32, the specific process of non-maximum suppression processing is as follows:
[0042] Step S321: Calculate the gradient value S(i,j) of each pixel point in the gradient direction θ(i,j) on the image to determine whether it is a point on the edge;
[0043] Step S322: Taking each pixel as the center, compare the gradient values of the pixels adjacent to it in four adjacent directions. If the gradient value S(i,j) of the pixel is the largest, it is an edge point; otherwise, set the gradient value of the pixel to zero.
[0044] Step S323: Set the high threshold to T hand the low threshold is T l , if the gradient value of the pixel point S(i,j)≥T h , then the pixel is an edge point of the image. If the gradient value of the pixel S(i,j)<T h , then the pixel is not an image edge point;
[0045] Step S324: If the gradient value T of the pixel point h <S(i,j)<T l , then compare the gradient values of the pixel with those of the adjacent pixels in four directions;
[0046] Step S325: Connect the pixels that meet the conditions to form a final edge detection map of the noisy target image.
[0047] As a preferred technical solution, in step S6, the conversion process of the ultrasound image is as follows:
[0048] Step S61: perform average pooling on the input ultrasound image along the x and y directions respectively, and encode each direction; the specific formula is as follows:
[0049]
[0050] In the formula, x c (h,i) represents the eigenvalue of the i-th position on the c channel and h window height, x c (j,w) represents the eigenvalue of the jth position on the c channel and w window height, Represents the information of the feature map along the x-axis direction, Represents the information of the feature map along the y-axis direction;
[0051] Step S62: perform dimension conversion again to obtain a feature map with encoding information;
[0052] Step S63: Concat the information in the two directions to splice the feature map;
[0053] Step S64: Normalization is performed to generate an intermediate feature vector, and a feature map with the same number of channels is obtained. The specific formula is as follows:
[0054] F=δ(F1([z h ,z w ]));
[0055] In the formula, for z h ,z w Perform Concat operation, F1 represents convolution operation, and δ represents nonlinear activation function.
[0056] As a preferred technical solution, in step S7, the convolutional layer of the convolutional neural network extracts features from the input feature map, and the specific formula is as follows:
[0057]
[0058] In the formula, i is the image sequence number, j is the image feature number, ζ is the output function, and m j is the image with image feature number j corresponding to the feature map, is the convolution result of the i-th image in the l-1th convolution layer, * is the convolution operator symbol, is the convolution kernel with image feature map number j in the i-th image when the current convolution layer number is l, is the offset;
[0059] The pooling layer of the convolutional neural network performs an average pooling operation, and the specific formula is as follows:
[0060]
[0061] In the formula, e i For Region The activation value of each neuron in Output result for the pooling layer;
[0062] The fully connected layer of the convolutional neural network converts the abstract features learned by the convolutional layer into classifiable outputs and activates each layer using the Softmax function. The specific formula is as follows:
[0063]
[0064] The present invention has the following beneficial effects:
[0065] The present invention trains an ultrasound diagnosis model by constructing an ultrasound diagnosis data set, performs edge detection on images collected by an ultrasound probe after preprocessing, and inputs the edge detection results into the trained ultrasound diagnosis model to improve the accuracy and efficiency of ultrasound image diagnosis.
[0066] Of course, any product implementing the present invention does not necessarily need to achieve all of the advantages described above at the same time. BRIEF DESCRIPTION OF THE DRAWINGS
[0067] In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the accompanying drawings required for describing the embodiments will be briefly introduced below. Obviously, the accompanying drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other accompanying drawings can be obtained based on these accompanying drawings without paying creative work.
[0068] Figure 1is a flow chart of an ultrasonic image analysis method of the present invention;
[0069] Figure 2 This is a flowchart of ultrasound image preprocessing;
[0070] Figure 3 A flow chart for edge detection of preprocessed ultrasound images;
[0071] Figure 4 Schematic diagram of the convolutional neural network structure. DETAILED DESCRIPTION
[0072] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.
[0073] In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not conflict with each other.
[0074] In order to make the purpose, technical solutions and advantages of this application more clear, the following Figure 1-4 It should be understood that the specific embodiments described herein are only used to explain the present application and are not used to limit the present application.
[0075] Ultrasound images are acquired by using an ultrasound probe to transmit ultrasound waves, which propagate through tissues. When ultrasound waves encounter tissues of different densities, echoes are generated. The probe receives these echoes and converts them into electrical signals, which are further processed to form ultrasound images.
[0076] See also Figure 1 As shown, the present invention is an ultrasonic image analysis method, comprising the following steps:
[0077] Step S1: Start the ultrasound device and collect ultrasound images of the patient's examination area through the ultrasound probe;
[0078] Step S2: preprocessing the ultrasound image;
[0079] Step S3: performing edge detection on the preprocessed ultrasound image;
[0080] Step S4: collecting historical ultrasound images for format conversion;
[0081] Step S5: resampling all ultrasound images;
[0082] Step S6: Select appropriate window width and window height for ultrasound images of different parts, complete the conversion of ultrasound images, and construct an ultrasound diagnosis data set;
[0083] Step S7: inputting the ultrasound diagnosis data set into the convolutional neural network to train the ultrasound diagnosis model;
[0084] Step S8: The ultrasonic image to be detected is subjected to edge detection and then input into the trained ultrasonic diagnosis model.
[0085] In step S1, during the process of ultrasonic acquisition, the specific operation process is as follows:
[0086] 1. Preparation stage: determine the examination site and purpose, select a suitable ultrasound probe, and apply coupling agent to the patient's examination site;
[0087] 2. Positioning and scanning: Place the ultrasound probe on the inspection site and adjust the angle and position of the probe so that the ultrasound can penetrate and reflect back. Start the ultrasound device and begin the scanning process. During the scanning process, the probe will emit ultrasound and receive the reflected signal;
[0088] 3. Image acquisition: Ultrasonic waves propagate in the human body and reflect back, forming echoes. The ultrasonic device receives these echoes and converts them into electrical signals. After amplification, filtering and other processing, the electrical signals are converted into digital signals. These digital signals are further processed by computers to generate two-dimensional or three-dimensional ultrasonic images. This embodiment is mainly used for the analysis and processing of two-dimensional ultrasonic images.
[0089] See also Figure 2 As shown, in step S2, the specific process of preprocessing is as follows:
[0090] Step S21, color space conversion: converting the original image from RGB color space to HSV color space or Lab color space;
[0091] Step S22, image segmentation: using the color information and brightness information, using an image segmentation algorithm to separate the shadow area from the non-shadow area in the processed image;
[0092] Step S23, shadow correction: retrieve the brightness value of the area or adjust the color value to offset the effect;
[0093] Step S24, fusion processing: re-fusion of the processed shadow area with the original non-shadow area to obtain an image with the shadow removed;
[0094] Step S25, image contrast enhancement: separate the image into BGR three-channel images, perform histogram equalization on the three channels respectively using local histogram equalization, and merge the channel images into a target image.
[0095] In step S21, the original ultrasound image is set to f(x,y)=c(x,y)×l(x,y)+(1-f(x,y)); wherein c(x,y) is the color value at the pixel (x,y), and l(x,y) is the transmittance of the ultrasound film at the pixel (x,y). The specific process of color space conversion is as follows:
[0096] Step S211: converting the original ultrasound image into a grayscale image;
[0097] Step S212: calculating the local contrast of the grayscale image;
[0098] Step S213: Calculate the gain factor according to the local contrast. The specific calculation formula is as follows:
[0099]
[0100] Where M is the local contrast, Q is the predefined threshold, Gain factor;
[0101] Step S214: performing a gain operation on the original image using the gain factor, multiplying the gray value of each pixel by the gain factor at the corresponding position;
[0102] Step S215: Obtain the dark primary color pixel distribution function I of the dark primary color ultrasound image by adjusting the parameters dark (x,y):
[0103]
[0104] In the formula, c dark (x,y) is the dark primary color value at pixel (x,y)
[0105] See also Figure 3 As shown, in step S3, edge detection is one of the very important operations in image processing, and is usually used to identify areas in the image where grayscale or color changes dramatically. These changes are usually caused by the structure and texture of the object, external lighting, and the reflection of light on the surface of the object. Specifically, the accuracy, stability and processing speed of image processing are improved by eliminating noise, enhancing contrast and standardizing image size. The purpose of preprocessing is to provide better input data for subsequent algorithms, thereby improving the effect and efficiency of overall image processing. The specific process of edge detection on the preprocessed ultrasound image is as follows:
[0106] Step S31: according to the association between the noise pixel points and the adjacent elements, a partition mean filtering algorithm is used to perform smoothing and noise reduction processing on the noise points of the ultrasound image;
[0107] Step S32: performing non-maximum suppression processing on the image after noise smoothing processing;
[0108] Step S33: The pixel points are connected one by one to form a final edge detection image of the noise target image.
[0109] In step S31, the function formula of the smoothing noise reduction process is as follows:
[0110]
[0111] Where, σ is the spatial scale coefficient of the Gaussian filter;
[0112] After smoothing the target ultrasound image, the partial derivative functions in the x and y directions are calculated respectively. The specific formulas are as follows:
[0113]
[0114] The original ultrasound image f(x, y) is convolved to obtain the gradient direction θ(i, j) and gradient value of each pixel in the target image. The calculation formulas are:
[0115]
[0116] In step S32, the specific process of non-maximum suppression processing is as follows:
[0117] Step S321: Calculate the gradient value S(i,j) of each pixel point in the gradient direction θ(i,j) on the image to determine whether it is a point on the edge;
[0118] Step S322: Taking each pixel as the center, compare the gradient values of the pixels adjacent to it in four adjacent directions. If the gradient value S(i,j) of the pixel is the largest, it is an edge point; otherwise, set the gradient value of the pixel to zero.
[0119] Step S323: Set the high threshold to T h and the low threshold is T l , if the gradient value of the pixel point S(i,j)≥T h , then the pixel is an edge point of the image. If the gradient value of the pixel S(i,j)<T h , then the pixel is not an image edge point;
[0120] Step S324: If the gradient value T of the pixel point h <S(i,j)<T l , then compare the gradient values of the pixel with those of the adjacent pixels in four directions;
[0121] Step S325: Connect the pixels that meet the conditions to form a final edge detection map of the noisy target image.
[0122] In step S6, the conversion process of the ultrasound image is as follows:
[0123] Step S61: perform average pooling on the input ultrasound image along the x and y directions respectively, and encode each direction; the specific formula is as follows:
[0124]
[0125] In the formula, x c (h,i) represents the eigenvalue of the i-th position on the c channel and h window height, x c (j,w) represents the eigenvalue of the jth position on the c channel and w window height, Represents the information of the feature map along the x-axis direction, Represents the information of the feature map along the y-axis direction;
[0126] Step S62: perform dimension conversion again to obtain a feature map with encoding information;
[0127] Step S63: Concat the information in the two directions to splice the feature map;
[0128] Step S64: Normalization is performed to generate an intermediate feature vector, and a feature map with the same number of channels is obtained. The specific formula is as follows:
[0129] F=δ(F1([z h ,z w ]));
[0130] In the formula, for z h ,z w Perform Concat operation, F1 represents convolution operation, and δ represents nonlinear activation function.
[0131] See also Figure 4 As shown, in step S7, the convolutional layer of the convolutional neural network extracts features from the input feature map. The specific formula is as follows:
[0132]
[0133] In the formula, i is the image sequence number, j is the image feature number, ζ is the output function, and m j is the image with image feature number j corresponding to the feature map, is the convolution result of the i-th image in the l-1th convolution layer, * is the convolution operator symbol, is the convolution kernel with image feature map number j in the i-th image when the current convolution layer number is l, is the offset;
[0134] The pooling layer of the convolutional neural network performs an average pooling operation. The specific formula is as follows:
[0135]
[0136] In the formula, e i For Region The activation value of each neuron in Output result for the pooling layer;
[0137] The fully connected layer of the convolutional neural network converts the abstract features learned by the convolutional layer into classifiable outputs and activates each layer using the Softmax function. The specific formula is as follows:
[0138]
[0139] It is worth noting that in the above system embodiment, the various units included are only divided according to functional logic, but are not limited to the above division, as long as the corresponding functions can be achieved; in addition, the specific names of the functional units are only for the convenience of distinguishing each other, and are not used to limit the scope of protection of the present invention.
[0140] In addition, those skilled in the art can understand that all or part of the steps in the above-mentioned embodiments can be completed by instructing related hardware through a program, and the corresponding program can be stored in a computer-readable storage medium.
[0141] The preferred embodiments of the present invention disclosed above are only used to help illustrate the present invention. The preferred embodiments do not describe all the details in detail, nor do they limit the invention to the specific implementation methods described. Obviously, many modifications and changes can be made according to the content of this specification. This specification selects and specifically describes these embodiments in order to better explain the principles and practical applications of the present invention, so that those skilled in the art can understand and use the present invention well. The present invention is limited only by the claims and their full scope and equivalents.
Claims
1. An ultrasonic image analysis method, characterized in that: The steps include: Step S1: Start the ultrasound device and collect ultrasound images of the patient's examination area through the ultrasound probe; Step S2: preprocessing the ultrasound image; Step S3: performing edge detection on the preprocessed ultrasound image; Step S4: collecting historical ultrasound images for format conversion; Step S5: resampling all ultrasound images; Step S6: Select appropriate window width and window height for ultrasound images of different parts, complete the conversion of ultrasound images, and construct an ultrasound diagnosis data set; Step S7: inputting the ultrasound diagnosis data set into the convolutional neural network to train the ultrasound diagnosis model; Step S8: The ultrasonic image to be detected is subjected to edge detection and then input into the trained ultrasonic diagnosis model.
2. The ultrasonic image analysis method according to claim 1, characterized in that: In step S2, the specific process of preprocessing is as follows: Step S21, color space conversion: converting the original image from RGB color space to HSV color space or Lab color space; Step S22, image segmentation: using the color information and brightness information, using an image segmentation algorithm to separate the shadow area from the non-shadow area in the processed image; Step S23, shadow correction: retrieve the brightness value of the area or adjust the color value to offset the effect; Step S24, fusion processing: re-fusion of the processed shadow area with the original non-shadow area to obtain an image with the shadow removed; Step S25, image contrast enhancement: separate the image into BGR three-channel images, perform histogram equalization on the three channels respectively using local histogram equalization, and merge the channel images into a target image.
3. The ultrasonic image analysis method according to claim 2, characterized in that: In step S21, the original ultrasound image is set to f(x,y)=c(x,y)×l(x,y)+(1-f(x,y)); wherein c(x,y) is the color value at the pixel (x,y), and l(x,y) is the transmittance of the ultrasound film at the pixel (x,y). The specific process of color space conversion is as follows: Step S211: converting the original ultrasound image into a grayscale image; Step S212: calculating the local contrast of the grayscale image; Step S213: Calculate the gain factor according to the local contrast. The specific calculation formula is as follows: Where M is the local contrast, Q is the predefined threshold, Gain factor; Step S214: performing a gain operation on the original image using the gain factor, multiplying the gray value of each pixel by the gain factor at the corresponding position; Step S215: Obtain the dark primary color pixel distribution function I of the dark primary color ultrasound image by adjusting the parameters dark (x,y): In the formula, c dark (x,y) is the dark color value at pixel (x,y).
4. The ultrasonic image analysis method according to claim 1, characterized in that: In step S3, the process of edge detection on the preprocessed ultrasound image is as follows: Step S31: according to the association between the noise pixel points and the adjacent elements, a partition mean filtering algorithm is used to perform smoothing and noise reduction processing on the noise points of the ultrasound image; Step S32: performing non-maximum suppression processing on the image after noise smoothing processing; Step S33: The pixel points are connected one by one to form a final edge detection image of the noise target image.
5. The ultrasonic image analysis method according to claim 4, characterized in that: In step S31, the function formula of the smoothing noise reduction process is as follows: Where, σ is the spatial scale coefficient of the Gaussian filter; After smoothing the target ultrasound image, the partial derivative functions in the x and y directions are calculated respectively. The specific formulas are as follows: The original ultrasound image f(x, y) is convolved to obtain the gradient direction θ(i, j) and gradient value of each pixel of the target image. The calculation formulas are:
6. The ultrasonic image analysis method according to claim 4, characterized in that: In step S32, the specific process of non-maximum suppression processing is as follows: Step S321: Calculate the gradient value S(i,j) of each pixel point in the gradient direction θ(i,j) on the image to determine whether it is a point on the edge; Step S322: Taking each pixel as the center, compare the gradient values of the pixels adjacent to it in four adjacent directions. If the gradient value S(i,j) of the pixel is the largest, it is an edge point; otherwise, set the gradient value of the pixel to zero. Step S323: Set the high threshold to T h and the low threshold is T l , if the gradient value of the pixel point S(i,j)≥T h , then the pixel is an edge point of the image. If the gradient value of the pixel S(i,j)<T h , then the pixel is not an image edge point; Step S324: If the gradient value T of the pixel point h <S(i,j)<T l , then compare the gradient values of the pixel with those of the adjacent pixels in four directions; Step S325: Connect the pixels that meet the conditions to form a final edge detection map of the noisy target image.
7. The ultrasonic image analysis method according to claim 1, characterized in that: In step S6, the conversion process of the ultrasound image is as follows: Step S61: perform average pooling on the input ultrasound image along the x and y directions respectively, and encode each direction; the specific formula is as follows: In the formula, x c (h,i) represents the eigenvalue of the i-th position on the c channel and h window height, x c (j,w) represents the eigenvalue of the jth position on the c channel and w window height, Represents the information of the feature map along the x-axis direction, Represents the information of the feature map along the y-axis direction; Step S62: perform dimension conversion again to obtain a feature map with encoding information; Step S63: Concat the information in the two directions to splice the feature map; Step S64: Normalization is performed to generate an intermediate feature vector, and a feature map with the same number of channels is obtained. The specific formula is as follows: F=δ(F1([z h ,z w ])); In the formula, for z h ,z w Perform Concat operation, F1 represents convolution operation, and δ represents nonlinear activation function.
8. The ultrasonic image analysis method according to claim 1, characterized in that: In step S7, the convolutional layer of the convolutional neural network performs feature extraction on the input feature map, and the specific formula is as follows: In the formula, i is the image sequence number, j is the image feature number, ζ is the output function, and m j is the image with image feature number j corresponding to the feature map, is the convolution result of the i-th image in the l-1th convolution layer, * is the convolution operator symbol, is the convolution kernel with image feature map number j in the i-th image when the current convolution layer number is l, is the offset; The pooling layer of the convolutional neural network performs an average pooling operation, and the specific formula is as follows: In the formula, e i For Region The activation value of each neuron in Output result for the pooling layer; The fully connected layer of the convolutional neural network converts the abstract features learned by the convolutional layer into classifiable outputs and activates each layer using the Softmax function. The specific formula is as follows:
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