Morphological evaluation method for cattle frozen embryos
By performing grayscale distribution analysis and multivariate evaluation on the images of frozen embryos of cattle, the problem of low accuracy of morphological evaluation in the prior art is solved, and higher evaluation accuracy and reliability are achieved.
Patent Information
- Application Number
- CN202510466318.7
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-04-15
- Publication Date
- 2025-05-13
- Estimated Expiration
- 2045-04-15
AI Technical Summary
In the prior art, the accuracy of morphological evaluation of frozen scalpers is poor and is easily affected by human subjective factors.
By obtaining the target surface images of frozen embryos and reference embryos to be evaluated, the grayscale distribution in the image is analyzed, the internal biometric values and morphological parameters are extracted, and the multivariate evaluation method is combined to reduce the influence of human subjective factors.
It improves the accuracy of morphological evaluation of frozen embryos of scalpers, reduces the influence of human subjective factors, and enhances the reliability of evaluation results.
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Figure CN119991667A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the technical field of image analysis, and in particular to a method for evaluating the morphology of cattle frozen embryos. Background Art
[0002] In the cattle breeding process, frozen embryo preservation technology is often a process of preserving embryos in an extremely low temperature environment. By rapidly cooling down, the metabolism of embryonic cells is almost stopped, thereby extending their shelf life and promoting the rapid propagation and genetic improvement of excellent breeds. However, during the freezing and thawing process, embryos are often damaged by ice crystals, increased cell fragments and other adverse effects, resulting in a decrease in embryonic development potential, which in turn affects the success rate of transplantation. Therefore, it is often necessary to conduct morphological evaluation of cattle frozen embryos to determine the developmental potential of cattle frozen embryos.
[0003] At present, morphological evaluation of cattle frozen embryos is often performed by manual observation. However, when morphological evaluation of cattle frozen embryos is performed by manual observation, the obtained morphological evaluation results are often affected by human subjective factors, which may lead to poor accuracy of morphological evaluation of cattle frozen embryos. Summary of the invention
[0004] In order to solve the technical problem of poor accuracy in morphological evaluation of cattle frozen embryos, the present invention proposes a morphological evaluation method for cattle frozen embryos.
[0005] In a first aspect, the present invention provides a method for evaluating the morphology of cattle frozen embryos, the method comprising: Acquire a target surface image of the cattle frozen embryo to be evaluated after thawing, and a reference surface image of each reference cattle frozen embryo after thawing; Determine the internal biological characteristic values corresponding to the cattle frozen embryo to be evaluated and each reference cattle frozen embryo according to the grayscale distribution in the target surface image and each reference surface image; Extracting the target parameter values of the cattle frozen embryos to be evaluated and each reference cattle frozen embryo under each morphological parameter, and determining the evaluation reference of the cattle frozen embryos to be evaluated under each morphological parameter based on all the target parameter values and all the internal biological characteristic values; According to the evaluation reference of the cattle frozen embryos to be evaluated under all morphological parameters, the target morphological parameters are screened out from all morphological parameters; According to the internal biological characteristic values corresponding to the cattle frozen embryos to be evaluated and their evaluation reference under the target morphological parameters, the morphological evaluation indicators corresponding to the cattle frozen embryos to be evaluated are determined, and based on the morphological evaluation indicators, a morphological evaluation is performed on the cattle frozen embryos to be evaluated.
[0006] In combination with the first aspect above, in a possible implementation, determining the internal biological feature values corresponding to the cattle frozen embryo to be evaluated and each reference cattle frozen embryo according to the grayscale distribution in the target surface image and each reference surface image includes: Performing edge detection and segmentation on the target surface image and the embryo region in each reference surface image to obtain segmentation blocks; Determine the internal biological feature value corresponding to the cattle frozen embryo to be evaluated according to the grayscale difference between the background area and the embryo area in the target surface image, and the grayscale difference between different segmented blocks in the target surface image; Similarly, the internal biological feature value corresponding to each reference cattle frozen embryo is determined based on the grayscale difference between the background area and the embryo area in the reference surface image corresponding to each reference cattle frozen embryo, and the grayscale difference between different segments in the reference surface image corresponding to each reference cattle frozen embryo.
[0007] In combination with the first aspect above, in a possible implementation, determining the evaluation reference of the cattle frozen embryo to be evaluated under each morphological parameter based on all target parameter values and all internal biological characteristic values includes: Determine any one morphological parameter as a marker morphological parameter, and determine each morphological parameter except the marker morphological parameter among all morphological parameters as a reference morphological parameter; The cattle frozen embryo to be evaluated and each reference cattle frozen embryo are collectively referred to as cattle frozen embryos; Based on the target parameter value of each cattle frozen embryo under the marked morphological parameter and its target parameter value under each reference morphological parameter, construct a coordinate point of each cattle frozen embryo between the marked morphological parameter and each reference morphological parameter, wherein the target parameter value under the marked morphological parameter is the ordinate of the coordinate point, and the target parameter value under the reference morphological parameter is the abscissa of the coordinate point; Performing curve fitting on the coordinate points between the marked morphological parameter and each reference morphological parameter for all cattle frozen embryos to obtain a parameter change curve between the marked morphological parameter and each reference morphological parameter; The ordinate corresponding to the coordinate point of the yellow cattle frozen embryo to be evaluated between the marked morphological parameter and each reference morphological parameter on the parameter change curve is determined as the fitting value of the yellow cattle frozen embryo to be evaluated between the marked morphological parameter and each reference morphological parameter; Determine the reliability of morphological evaluation of the cattle frozen embryo to be evaluated under the marked morphological parameters according to the fitting value of the cattle frozen embryo to be evaluated between the marked morphological parameters and all reference morphological parameters, and the target parameter value under the marked morphological parameters; Based on the reliability of the morphological evaluation of the cattle frozen embryo to be evaluated under the marked morphological parameters, the fitting value of the cattle frozen embryo to be evaluated between the marked morphological parameters and all reference morphological parameters, and all internal biological characteristic values, the evaluation reference of the cattle frozen embryo to be evaluated under the marked morphological parameters is determined.
[0008] In combination with the first aspect above, in a possible implementation, the formula corresponding to the internal biological characteristic value corresponding to the frozen cattle embryo to be evaluated is: ; Wherein, N is the internal biological characteristic value corresponding to the cattle frozen embryo to be evaluated; is the absolute value function; G is the mean of the gray values corresponding to all pixels in the embryo area in the target surface image; It is the mean of the gray values corresponding to all pixels in the background area of the target surface image; is a natural exponential function; M is the number of segments in the target surface image; j and m are the serial numbers of different segments in the target surface image; It is the mean of the gray values corresponding to all pixels in the jth segmentation block in the target surface image; It is the mean of the grayscale values corresponding to all pixels in the mth segmentation block in the target surface image.
[0009] In combination with the first aspect above, in a possible implementation, the formula corresponding to the reliability of the morphological evaluation of the frozen cattle embryo to be evaluated under the marked morphological parameters is: ; ; Wherein, E is the reliability of morphological evaluation of the cattle frozen embryo to be evaluated under the marked morphological parameters; is the natural exponential function; H is the number of reference morphological parameters; t is the serial number of the reference morphological parameter; It is A and Pearson correlation coefficient between them; A is the data set consisting of the target parameter values of all cattle frozen embryos under the marked morphological parameters; is a data set consisting of the target parameter values of all cattle frozen embryos under the tth reference morphological parameter; is the image quality interference between the marked morphological parameter and the tth reference morphological parameter of the cattle frozen embryo to be evaluated; is the absolute value function; Y is the target parameter value of the cattle frozen embryo to be evaluated under the marked morphological parameters; is the fitting value between the marker morphological parameter and the tth reference morphological parameter of the cattle frozen embryo to be evaluated.
[0010] In combination with the first aspect above, in a possible implementation, determining the evaluation reference of the cattle frozen embryo to be evaluated under the marked morphological parameters according to the morphological evaluation reliability of the cattle frozen embryo to be evaluated under the marked morphological parameters, the fitting value of the cattle frozen embryo to be evaluated between the marked morphological parameters and all reference morphological parameters, and all internal biological feature values, includes: Determine the data set consisting of the fitting values of the cattle frozen embryo to be evaluated between the marked morphological parameters and all reference morphological parameters as the fitting value set of the cattle frozen embryo to be evaluated under the marked morphological parameters; A data set consisting of internal biological characteristic values corresponding to all cattle frozen embryos is determined as an internal biological characteristic value set; Based on the morphological evaluation reliability and fitting value set of the cattle frozen embryo to be evaluated under the marked morphological parameters, as well as the internal biological characteristic value set, the evaluation reference of the cattle frozen embryo to be evaluated under the marked morphological parameters is determined.
[0011] In combination with the first aspect above, in a possible implementation, the formula corresponding to the evaluation reference of the cattle frozen embryo to be evaluated under the marked morphological parameters is: ; Wherein, T is the evaluation reference of the cattle frozen embryo to be evaluated under the marked morphological parameters; is the normalization function; is the Pearson correlation coefficient between XN and XY; XN is the internal biological feature value set; XY is the fitting value set of the cattle frozen embryo to be evaluated under the marked morphological parameters; E is the morphological evaluation reliability of the cattle frozen embryo to be evaluated under the marked morphological parameters.
[0012] In combination with the first aspect above, in a possible implementation, the target morphological parameters are screened out from all morphological parameters according to the evaluation reference of the cattle frozen embryo to be evaluated under all morphological parameters, including: The morphological parameter with the greatest reference value for the evaluation of the frozen cattle embryo to be evaluated is selected from all morphological parameters as the target morphological parameter.
[0013] In combination with the first aspect above, in a possible implementation, the morphological evaluation index corresponding to the cattle frozen embryo to be evaluated is determined according to the internal biological characteristic value corresponding to the cattle frozen embryo to be evaluated and its evaluation reference under the target morphological parameter, including: The morphological evaluation indicators corresponding to the cattle frozen embryos to be evaluated are determined based on the internal biological characteristic values corresponding to the cattle frozen embryos to be evaluated and their evaluation references under the target morphological parameters, the fitting values of the cattle frozen embryos to be evaluated between the target morphological parameters and all other morphological parameters, and the target parameter values of the cattle frozen embryos to be evaluated under the target morphological parameters.
[0014] In combination with the first aspect above, in a possible implementation, the formula corresponding to the morphological evaluation index corresponding to the cattle frozen embryo to be evaluated is: ; Wherein, L is the morphological evaluation index corresponding to the cattle frozen embryo to be evaluated; is a normalized function; N is the internal biological characteristic value corresponding to the cattle frozen embryo to be evaluated; ZT is the evaluation reference of the cattle frozen embryo to be evaluated under the target morphological parameters; It is the absolute value function; is the target parameter value of the cattle frozen embryo to be evaluated under the target morphological parameter; ZY is the mean of the fitting values between the target morphological parameter and all other morphological parameters of the cattle frozen embryo to be evaluated.
[0015] In a second aspect, the present invention provides a cattle frozen embryo morphology evaluation system, the system comprising: An image acquisition module, used to acquire a target surface image of the cattle frozen embryo to be evaluated after thawing, and a reference surface image of each reference cattle frozen embryo after thawing; An internal biometric value determination module is used to determine the internal biometric value corresponding to the cattle frozen embryo to be evaluated and each reference cattle frozen embryo according to the grayscale distribution in the target surface image and each reference surface image; An extraction and determination module is used to extract the target parameter values of the cattle frozen embryo to be evaluated and each reference cattle frozen embryo under each morphological parameter, and determine the evaluation reference of the cattle frozen embryo to be evaluated under each morphological parameter based on all the target parameter values and all the internal biological characteristic values; A parameter screening module is used to screen out target morphological parameters from all morphological parameters according to the evaluation reference of the cattle frozen embryos to be evaluated under all morphological parameters; An evaluation module is determined, which is used to determine the morphological evaluation indicators corresponding to the cattle frozen embryos to be evaluated based on the internal biological characteristic values corresponding to the cattle frozen embryos to be evaluated and their evaluation reference under the target morphological parameters, and based on the morphological evaluation indicators, perform morphological evaluation on the cattle frozen embryos to be evaluated.
[0016] In a third aspect, a server is provided, comprising a memory and a processor. The memory is used to store executable program code, and the processor is used to call and run the executable program code from the memory, so that the device executes the method in the first aspect or any possible implementation of the first aspect.
[0017] In a fourth aspect, a computer program product is provided, comprising: a computer program code, which, when executed on a computer, enables the computer to execute the method in the first aspect or any possible implementation of the first aspect.
[0018] In a fifth aspect, a computer-readable storage medium is provided, which stores a computer program code. When the computer program code runs on a computer, the computer executes the method in the above-mentioned first aspect or any possible implementation manner of the first aspect.
[0019] The present invention has the following beneficial effects: A cattle frozen embryo morphological evaluation method of the present invention realizes cattle frozen embryo morphological evaluation by analyzing the target surface image and the reference surface image, solves the technical problem of poor accuracy of morphological evaluation of cattle frozen embryos, and improves the accuracy of morphological evaluation of cattle frozen embryos. Compared with the morphological evaluation of cattle frozen embryos by manual observation, the present invention comprehensively considers multiple features related to the morphological evaluation of cattle frozen embryos when performing morphological evaluation on cattle frozen embryos, such as internal biological characteristic values, morphological parameters, evaluation references and morphological evaluation indicators, thereby realizing the morphological evaluation of cattle frozen embryos to be evaluated, and reducing the influence of human subjective factors to a certain extent, thereby improving the accuracy of morphological evaluation of cattle frozen embryos. BRIEF DESCRIPTION OF THE DRAWINGS
[0020] In order to more clearly illustrate the technical solutions and advantages in the embodiments of the present invention or the prior art, the drawings required for use in the embodiments or the prior art descriptions are briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.
[0021] Figure 1This is a flow chart of a method for evaluating cattle frozen embryo morphology according to the present invention; Figure 2 A schematic diagram of the composition structure of a cattle frozen embryo morphology evaluation system of the present invention; Figure 3 The figure is a schematic diagram of the structure of a computer device of the present invention. DETAILED DESCRIPTION
[0022] In order to further explain the technical means and effects adopted by the present invention to achieve the predetermined invention purpose, the specific implementation methods, structures, features and effects of the technical solutions proposed by the present invention are described in detail below in conjunction with the accompanying drawings and preferred embodiments. In the following description, different "one embodiment" or "another embodiment" does not necessarily refer to the same embodiment. In addition, specific features, structures or characteristics in one or more embodiments may be combined in any suitable form.
[0023] Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs.
[0024] refer to Figure 1 , shows the process of some embodiments of a method for morphological evaluation of cattle frozen embryos according to the present invention. The method for morphological evaluation of cattle frozen embryos comprises the following steps: Step S1, obtaining a target surface image of the cattle frozen embryo to be evaluated after thawing, and a reference surface image of each reference cattle frozen embryo after thawing.
[0025] The cattle frozen embryo to be evaluated may be a cattle frozen embryo to be subjected to morphological evaluation. The cattle frozen embryo may be a cattle embryo that has been cryopreserved. The target surface image may be a grayscale image of the cattle frozen embryo to be evaluated after thawing under a microscope. The reference cattle frozen embryo may be another cattle frozen embryo used to assist in morphological evaluation of the cattle frozen embryo to be evaluated. The reference surface image may be a grayscale image of the reference cattle frozen embryo after thawing under a microscope.
[0026] As an example, the cattle embryos can be thawed from liquid nitrogen and quickly rinsed in preheated culture medium to remove residual cryoprotectants. The thawed cattle embryos are evenly distributed on a glass slide and photographed by a high-resolution inverted microscope, wherein any one of the cattle embryos to be morphologically evaluated can be recorded as the cattle frozen embryo to be evaluated, and the other cattle embryos can be recorded as the reference cattle frozen embryo. In order to ensure the consistency of image acquisition, the illumination, magnification and acquisition environment of the microscope are standardized to ensure that the image of each sample has the same resolution and contrast. The collected original embryo images are preprocessed. The color image can be converted into a grayscale image to reduce the data dimension and simplify the processing process; the image is denoised using a median filtering algorithm to eliminate interference caused by uneven illumination or instrument noise during the acquisition process; the image contrast is enhanced using histogram equalization to make the outline and cell structure of the embryo clearer. The image corresponding to the cattle frozen embryo to be evaluated is recorded as the target surface image, and the image corresponding to the reference cattle frozen embryo is recorded as the reference surface image.
[0027] Step S2, determining the internal biological characteristic values corresponding to the cattle frozen embryo to be evaluated and each reference cattle frozen embryo according to the grayscale distribution in the target surface image and each reference surface image.
[0028] It should be noted that the morphological characteristics of cattle frozen embryos can be observed and quantified in the surface images representing the embryos to judge the embryo quality and developmental potential, thereby conducting a morphological assessment of the embryos. The internal structure of the embryo often directly reflects the biological state and developmental potential of the embryo. Even when the image quality is not ideal, the internal structural characteristics still have strong biological significance and stability, and are an important basis for evaluating the quality of the embryo.
[0029] As an example, this step may include the following steps: In the first step, edge detection and segmentation are performed on the target surface image and the embryo region in each reference surface image to obtain segmentation blocks.
[0030] The embryo region in the target surface image may be a region of the frozen embryo of cattle to be evaluated in the target surface image, and the embryo region in the reference surface image may be a region of the frozen embryo of cattle to be evaluated in the reference surface image.
[0031] For example, the Sobel bidirectional edge detection method can be used to detect the embryo contours in the target surface image and each reference surface image, and morphological operations can be performed to repair the edges to ensure the connectivity of the embryo region, thereby segmenting the embryo region representing the cattle embryo. The Canny edge detection segmentation algorithm is used to perform edge detection segmentation on the embryo region to obtain multiple segmentation blocks.
[0032] In the second step, based on the grayscale difference between the background area and the embryo area in the target surface image, and the grayscale difference between different segments in the target surface image, the internal biological characteristic value corresponding to the frozen cattle embryo to be evaluated is determined.
[0033] The background area may be an area other than the embryo area in the image.
[0034] For example, the formula for determining the internal biological characteristic value corresponding to the frozen cattle embryo to be evaluated can be: ; Wherein, N is the internal biological characteristic value corresponding to the cattle frozen embryo to be evaluated. is the absolute value function. G is the mean gray value of all pixels in the embryo region in the target surface image. It is the mean of the grayscale values corresponding to all pixels in the background area of the target surface image. is a natural exponential function. M is the number of segments in the target surface image. j and m are the serial numbers of different segments in the target surface image. It is the mean of the grayscale values corresponding to all pixels in the jth segmentation block in the target surface image. It is the mean of the grayscale values corresponding to all pixels in the mth segmentation block in the target surface image.
[0035] It should be noted that if the image quality is affected, it may cause problems in the edge extraction of the embryo. At this time, the integrity and regularity of the embryo's contour are often difficult to judge specifically, while the extraction of the embryo's internal structural characteristics is relatively less disturbed. At the same time, the internal structure of the embryo often reflects its biological state. In the normal embryonic development process, the regularity of the internal structure is often an important sign of embryonic health. Any abnormal cell division, deformed cell morphology, or disordered cell arrangement will often affect the development of the embryo and even lead to developmental stagnation or abnormality. Therefore, the internal structural characteristics of the embryo can serve as an important basis for morphological evaluation. When the value is larger, it often indicates that the grayscale difference between the embryo region and the background region in the target surface image is greater, and the color contrast between the embryo represented by the embryo region in the target surface image and the background is greater, which often indicates that the internal biological characteristics of the embryo represented by the embryo region in the target surface image are relatively more significant. The larger the value is, the greater the grayscale difference between the jth segmentation block and the mth segmentation block in the target surface image is. The smaller it is, the smaller the grayscale difference between different segments in the target surface image is, the more uniform the grayscale distribution inside the embryo region in the target surface image is, the more regular the cell arrangement inside the embryo region in the target surface image is, the more normal the cell division inside the embryo region is, the better the morphological characteristics inside the embryo region are, and the more significant the internal biological characteristics of the embryo represented by the embryo region in the target surface image are. Therefore, when N is larger, it often means that the internal biological characteristics of the embryo represented by the embryo region in the target surface image are more significant, the morphological characteristics inside the embryo region are better, and the survival rate of the cattle frozen embryos to be evaluated is relatively higher.
[0036] In the third step, similarly, the internal biological feature value corresponding to each reference cattle frozen embryo is determined based on the grayscale difference between the background area and the embryo area in the reference surface image corresponding to each reference cattle frozen embryo, and the grayscale difference between different segments in the reference surface image corresponding to each reference cattle frozen embryo.
[0037] It should be noted that the method for obtaining the internal biometric characteristic values corresponding to the reference cattle frozen embryos is the same as the method for obtaining the internal biometric characteristic values corresponding to the cattle frozen embryos to be evaluated, and will not be repeated here.
[0038] Step S3, extracting the target parameter values of the cattle frozen embryo to be evaluated and each reference cattle frozen embryo under each morphological parameter, and determining the evaluation reference of the cattle frozen embryo to be evaluated under each morphological parameter based on all target parameter values and all internal biological characteristic values.
[0039] Wherein, the morphological parameter can be a parameter related to the morphology of the frozen embryo of cattle. The number of morphological parameters can be pre-set, which can be 4. For example, the morphological parameter can be but not limited to: embryo area parameter, roundness parameter, zona pellucida thickness parameter and zona pellucida integrity parameter. The target parameter value under the morphological parameter is the numerical value under the morphological parameter. For example, the target parameter value under the embryo area parameter can be embryo area. The target parameter value under the roundness parameter can be roundness. The target parameter value under the zona pellucida thickness parameter can be zona pellucida thickness. The target parameter value under the zona pellucida integrity parameter can be zona pellucida integrity.
[0040] Embryonic area usually refers to the area occupied by the embryo in a cross-section or two-dimensional plane observed under a microscope. Roundness is an indicator of the regularity of the embryo's shape. It is calculated by comparing the actual shape of the embryo with the similarity of a perfect circle. It is usually expressed on a scale of 0 to 1, with 1 indicating a perfect circle. The zona pellucida is a layer of glycoprotein membrane on the outside of the embryo that surrounds the cells of the embryo and protects the embryo from interference from the external environment. The thickness of the zona pellucida refers to the width of this membrane. The integrity of the zona pellucida refers to whether the zona pellucida is intact, and whether its structure is continuous, broken or defective.
[0041] It should be noted that judging embryo quality by its internal structural characteristics can reduce the evaluation error caused by image quality. However, observation of a single structure may not fully reflect the overall developmental potential of the embryo. Frozen cattle embryos may experience local damage to the cell membrane or changes in internal cell color during the thawing process. A comprehensive evaluation based on the external morphological characteristics of the embryo is also required. The contrast blur caused by image quality may make it impossible to accurately obtain the edge contour of the embryo, resulting in errors in the extracted external morphological parameters. Therefore, the inherent correlation between embryo morphological parameters can be analyzed, and the complementarity between different indicators can be used to correct the errors caused by image quality problems through multivariate evaluation, thereby more accurately predicting the actual developmental potential of the embryo.
[0042] As an example, this step may include the following steps: In the first step, the target parameter values of the evaluated cattle frozen embryos and each reference cattle frozen embryo under each morphological parameter were extracted.
[0043] For example, Python (Python Programming Language, a high-level programming language) and OpenCV (Open Source Computer Vision Library, an operating system) can be used to automatically extract target parameter values of cattle frozen embryos under different morphological parameters, such as embryo area, roundness, zona pellucida thickness, and zona pellucida integrity.
[0044] In the second step, any morphological parameter is determined as a marker morphological parameter, and each morphological parameter among all morphological parameters except the marker morphological parameter is determined as a reference morphological parameter.
[0045] In the third step, the above-mentioned cattle frozen embryos to be evaluated and each reference cattle frozen embryo are collectively referred to as cattle frozen embryos.
[0046] The fourth step is to construct the coordinate points of each cattle frozen embryo between the above-mentioned marked morphological parameters and each reference morphological parameter based on the target parameter value of each cattle frozen embryo under the above-mentioned marked morphological parameters and its target parameter value under each reference morphological parameter.
[0047] The target parameter value under the marked morphological parameter may be the ordinate of the coordinate point, and the target parameter value under the reference morphological parameter may be the abscissa of the coordinate point.
[0048] For example, if the marked morphological parameter is an embryo area parameter and a reference morphological parameter is a roundness parameter, then the horizontal coordinate of the coordinate point of the cattle frozen embryo between the embryo area parameter and the roundness parameter can be the roundness of the cattle frozen embryo, and its vertical coordinate can be the embryo area corresponding to the cattle frozen embryo.
[0049] The fifth step is to perform curve fitting on the coordinate points of all cattle frozen embryos between the above-mentioned marked morphological parameters and each reference morphological parameter to obtain a parameter change curve between the above-mentioned marked morphological parameters and each reference morphological parameter.
[0050] For example, if the marked morphological parameter is the embryo area parameter and a reference morphological parameter is the roundness parameter, then the parameter change curve of the cattle frozen embryo between the embryo area parameter and the roundness parameter can be: a curve obtained by curve fitting the coordinate points between the embryo area parameter and the roundness parameter of all cattle frozen embryos.
[0051] It should be noted that image quality often affects the accuracy of morphological parameter extraction. If you want to evaluate error correction through external morphological parameters, you often need to ensure the reliability of the extracted data. The morphological parameters of cattle frozen embryos are usually not independent, but have a certain mathematical relationship. There is often an intrinsic correlation between embryo morphological parameters. For example, an intact zona pellucida maintains the morphological integrity of the embryo, and its roundness is also high; if the zona pellucida is damaged, it may cause irregular embryo morphology and reduced embryo roundness. In other words, when the image quality is high, there is often an intrinsic correlation between the different morphological parameters detected. The parameter change curve between the marked morphological parameter and each reference morphological parameter can characterize the change relationship between the marked morphological parameter and each reference morphological parameter.
[0052] The sixth step is to determine the ordinate corresponding to the coordinate point of the above-mentioned yellow cattle frozen embryo to be evaluated between the above-mentioned marked morphological parameters and each reference morphological parameter on the parameter change curve as the fitting value of the above-mentioned yellow cattle frozen embryo to be evaluated between the above-mentioned marked morphological parameters and each reference morphological parameter.
[0053] Among them, the ordinate of the corresponding point of the coordinate point on the parameter change curve to which it belongs is the fitting value corresponding to the coordinate point.
[0054] The seventh step is to determine the reliability of the morphological evaluation of the above-mentioned cattle frozen embryos to be evaluated under the above-mentioned marked morphological parameters based on the fitting values between the above-mentioned marked morphological parameters and all reference morphological parameters, as well as the target parameter values under the above-mentioned marked morphological parameters.
[0055] For example, the formula for determining the reliability of the morphological evaluation of the frozen cattle embryo to be evaluated under the above-mentioned marked morphological parameters can be: ; ; Wherein, E is the reliability of morphological evaluation of the cattle frozen embryos to be evaluated under the marked morphological parameters. is the natural exponential function. H is the number of reference morphological parameters. t is the ordinal number of the reference morphological parameter. It is A and Pearson correlation coefficient between them. A is a dataset consisting of target parameter values of all cattle frozen embryos under marked morphological parameters. It is a data set consisting of the target parameter values of all cattle frozen embryos under the tth reference morphological parameters. is the image quality interference between the marked morphological parameter and the tth reference morphological parameter of the cattle frozen embryo to be evaluated. is the absolute value function. Y is the target parameter value of the cattle frozen embryo to be evaluated under the marked morphological parameters. is the fitting value between the marker morphological parameter and the tth reference morphological parameter of the cattle frozen embryo to be evaluated.
[0056] It should be noted that the internal structural information of the embryo reflects the cell division of the embryo and is an important basis for the morphological evaluation of the embryo. However, frozen embryos are limited by freezing technology. For example, the freezing fluid may affect the osmotic pressure difference between the inside and outside of the embryo cell membrane, causing slight changes in the color inside the embryo. The internal biological characteristics obtained above are based on color contrast. At the same time, due to the influence of image quality, the final morphological evaluation results may still have certain errors. Therefore, error correction can be performed through external morphological characteristics. When it is larger, it often indicates that the deviation between the target parameter value and its fitting value under the marked morphological parameters of the evaluated cattle frozen embryo is greater, which often indicates that the image quality of the target surface image is relatively worse, which often indicates that the identified morphological abnormalities are more likely to be caused by the image quality, which often indicates that the evaluation reliability of the marked morphological parameters is relatively poor at this time. Can be used as When When the value is larger, it often indicates that A and The more correlated the changes between them are, the more likely there is a certain correlation between the marker morphological parameters and the tth reference morphological parameters. Therefore, when E is larger, it often means that the extracted marker morphological parameters of the cattle frozen embryos to be evaluated are relatively more accurate, and it often means that the morphological evaluation reliability of the cattle frozen embryos to be evaluated under the marker morphological parameters is greater.
[0057] The eighth step is to determine the reference of the evaluation of the above-mentioned cattle frozen embryos under the above-mentioned marked morphological parameters based on the reliability of the morphological evaluation of the above-mentioned cattle frozen embryos under the above-mentioned marked morphological parameters, the fitting values between the above-mentioned marked morphological parameters and all reference morphological parameters, and all internal biological characteristic values.
[0058] It should be noted that in the actual image acquisition process of cattle frozen embryos, problems such as noise, low contrast and blurred edges can cause inaccurate extraction of certain morphological parameters of the embryo, resulting in deviations in the evaluation results. By establishing the intrinsic correlation curve between the parameters and using the redundant information between the parameters, the outliers caused by image quality problems are corrected, thereby improving the accuracy of morphological evaluation of cattle frozen embryos, reducing the impact of different acquisition conditions on the evaluation results, and comprehensively improving the accuracy of predicting embryo development potential.
[0059] For example, determining the evaluation reference of the above-mentioned cattle frozen embryo to be evaluated under the above-mentioned marked morphological parameters may include the following sub-steps: In the first sub-step, the data set consisting of the fitting values of the above-mentioned yellow cattle frozen embryos to be evaluated between the above-mentioned marked morphological parameters and all reference morphological parameters is determined as the fitting value set of the above-mentioned yellow cattle frozen embryos to be evaluated under the above-mentioned marked morphological parameters.
[0060] In the second sub-step, a data set consisting of internal biological characteristic values corresponding to all cattle frozen embryos is determined as an internal biological characteristic value set.
[0061] The third sub-step is to determine the evaluation reference of the above-mentioned cattle frozen embryos to be evaluated under the above-mentioned marked morphological parameters based on the morphological evaluation reliability and fitting value set of the above-mentioned cattle frozen embryos to be evaluated under the above-mentioned marked morphological parameters, as well as the internal biological characteristic value set.
[0062] It should be noted that the morphological parameters of frozen cattle embryos often change synchronously. Due to the interference of image quality, the internal structural information of the embryo that is less affected can be selected as the main basis for morphological evaluation. At the same time, in order to reduce the error caused by image quality, it is also necessary to combine external morphological features for auxiliary evaluation. For example, during the freezing process, due to the limitations of freezing technology, the internal cells of the embryo are in an abnormal state. The freezing fluid increases the osmotic pressure difference of the embryo, and its cells lose water and shrink severely, resulting in a smaller embryo area. The calculated internal biological characteristics will also decrease accordingly due to the reduced contrast with the external background color, which often affects other morphological parameters. It is necessary to verify the acquisition of a type of morphological parameters with the most stable relationship with the internal biological characteristics of the embryo, and the evaluation results can be corrected by the morphological parameters with the most stable relationship. Therefore, the evaluation reference of each type of morphological parameters of each embryo can be obtained based on the synchronization of changes in the internal biological characteristics of the embryo and the morphological parameter data.
[0063] For example, the formula for determining the evaluation reference of the frozen cattle embryos to be evaluated under the marked morphological parameters can be: ; Wherein, T is the evaluation reference of the cattle frozen embryo under the marked morphological parameters. is a normalization function. is the Pearson correlation coefficient between XN and XY. XN is the internal biological feature value set. XY is the fitted value set of the cattle frozen embryo to be evaluated under the marked morphological parameters. E is the morphological evaluation reliability of the cattle frozen embryo to be evaluated under the marked morphological parameters.
[0064] It should be noted that when When E is larger, it often indicates that the correlation between the internal biological characteristics of the embryo and the labeled morphological parameters is larger, and it often indicates that the changes between the internal biological characteristics of the embryo and the labeled morphological parameter data have a certain synchronization. When E is larger, it often indicates that the extracted labeled morphological parameters of the cattle frozen embryo to be evaluated are relatively more accurate, and it often indicates that the reliability of the morphological assessment of the cattle frozen embryo to be evaluated under the labeled morphological parameters is larger. Therefore, when T is larger, it often indicates that the accuracy of the extraction of the labeled morphological parameter data of the cattle frozen embryo to be evaluated is relatively higher, and it often indicates that the reliability of the morphological assessment of the cattle frozen embryo to be evaluated under the labeled morphological parameters is larger.
[0065] Step S4, screening out target morphological parameters from all morphological parameters according to the evaluation reference of the cattle frozen embryos to be evaluated under all morphological parameters.
[0066] The evaluation reference of the cattle frozen embryo to be evaluated under the target morphological parameters may be equal to the maximum value of the evaluation reference of the cattle frozen embryo to be evaluated under all morphological parameters.
[0067] As an example, the morphological parameter with the greatest reference value for the evaluation of the above-mentioned cattle frozen embryo to be evaluated can be screened out from all morphological parameters and used as the target morphological parameter.
[0068] Step S5, determining the morphological evaluation index corresponding to the cattle frozen embryo to be evaluated according to the internal biological characteristic value corresponding to the cattle frozen embryo to be evaluated and its evaluation reference under the target morphological parameters, and performing a morphological evaluation on the cattle frozen embryo to be evaluated based on the morphological evaluation index.
[0069] As an example, this step may include the following steps: The first step is to determine the morphological evaluation indicators corresponding to the cattle frozen embryos to be evaluated based on the internal biological characteristic values corresponding to the cattle frozen embryos to be evaluated and their evaluation references under the target morphological parameters, the fitting values between the above target morphological parameters and all other morphological parameters of the cattle frozen embryos to be evaluated, and the target parameter values of the cattle frozen embryos to be evaluated under the target morphological parameters.
[0070] It should be noted that in the morphological evaluation process of cattle frozen embryos, image quality problems may lead to errors in the extraction of morphological parameters, thus affecting the accuracy of embryo quality evaluation. Based on the intrinsic correlation between embryo morphological parameters, the statistical correlation between the parameters can be analyzed to find the mapping relationship between relatively stable parameters and closely related morphological parameters, so as to correct the morphological evaluation results. Among them, relatively stable parameters can be parameters that are less affected by image quality, that is, target morphological parameters. It can effectively reduce the evaluation errors caused by image quality problems and improve the reliability and accuracy of cattle frozen embryo morphological evaluation.
[0071] For example, the formula for determining the morphological evaluation index corresponding to the frozen embryo of cattle to be evaluated can be: ; Wherein, L is the morphological evaluation index corresponding to the cattle frozen embryo to be evaluated. is a normalization function. N is the internal biological characteristic value corresponding to the cattle frozen embryo to be evaluated. ZT is the evaluation reference of the cattle frozen embryo to be evaluated under the target morphological parameters. It is the absolute value function. is the target parameter value of the cattle frozen embryo to be evaluated under the target morphological parameter. ZY is the mean of the fitted values between the target morphological parameter and all other morphological parameters of the cattle frozen embryo to be evaluated.
[0072] It should be noted that when N is larger, it often means that the internal biological characteristics of the embryo represented by the embryo region in the target surface image are relatively more significant, which often means that the morphological characteristics inside the embryo region are relatively better, which often means that the survival rate of the cattle frozen embryos to be evaluated is relatively higher. When ZT is larger, it often means that the accuracy of the target morphological parameter data extraction of the cattle frozen embryos to be evaluated is relatively higher, which often means that the morphological evaluation reliability of the cattle frozen embryos to be evaluated under the target morphological parameters is greater. When L is larger, it often means that the target morphological parameter with the greatest reference to the internal structural characteristics of the cattle frozen embryo to be evaluated has a relatively larger deviation due to image quality, which often means that the image quality problem is more serious, and the corresponding internal biological characteristics may have larger errors, which often means that some abnormalities are more likely to be caused by image quality and require stronger correction. Therefore, when L is larger, it often means that the morphological characteristics of the cattle frozen embryo to be evaluated are relatively better, the developmental potential of the cattle frozen embryo to be evaluated is relatively greater, and the survival rate of the cattle frozen embryo to be evaluated is relatively higher.
[0073] The second step is to conduct a morphological evaluation on the cattle frozen embryos based on the morphological evaluation indicators.
[0074] For example, if the morphological evaluation index is greater than a preset evaluation threshold, it is determined that the morphological characteristics of the cattle frozen embryos to be evaluated are good, which often indicates that the survival rate of the cattle frozen embryos to be evaluated is relatively high at this time, otherwise, the survival rate is relatively low. The preset evaluation threshold may be a pre-set threshold, which may be 0.6.
[0075] refer to Figure 2 Based on the same inventive concept as the above method embodiment, the present invention provides a cattle frozen embryo morphology evaluation system, which includes a memory, a processor, and a computer program stored in the memory and executable on the processor. When the above computer program is executed by the processor, the steps of a cattle frozen embryo morphology evaluation method are implemented, which may specifically include: An image acquisition module 201 is used to acquire a target surface image of the cattle frozen embryo to be evaluated after thawing, and a reference surface image of each reference cattle frozen embryo after thawing; An internal biometric value determination module 202 is used to determine the internal biometric value corresponding to the cattle frozen embryo to be evaluated and each reference cattle frozen embryo according to the grayscale distribution in the target surface image and each reference surface image; An extraction and determination module 203 is used to extract the target parameter values of the cattle frozen embryo to be evaluated and each reference cattle frozen embryo under each morphological parameter, and determine the evaluation reference of the cattle frozen embryo to be evaluated under each morphological parameter based on all the target parameter values and all the internal biological characteristic values; The parameter screening module 204 is used to screen out target morphological parameters from all morphological parameters according to the evaluation reference of the cattle frozen embryo to be evaluated under all morphological parameters; The evaluation module 205 is determined to determine the morphological evaluation index corresponding to the cattle frozen embryo to be evaluated according to the internal biological characteristic value corresponding to the cattle frozen embryo to be evaluated and its evaluation reference under the target morphological parameters, and perform a morphological evaluation on the cattle frozen embryo to be evaluated based on the morphological evaluation index.
[0076] Figure 3 is a schematic diagram of the structure of a computer device provided by an embodiment of the present invention. Figure 3 As shown, the computer device 300 includes: a memory 301, a processor 302, and a computer program 303 stored in the memory 301 and running on the processor 302, wherein when the processor 302 executes the computer program 303, the computer device can execute any one of the cattle frozen embryo morphology evaluation methods introduced above.
[0077] Based on the same inventive concept as the above method embodiment, the present invention provides a server, including a memory and a processor. The memory is used to store executable program code, and the processor is used to call and run the executable program code from the memory, so that the device executes any of the above cattle frozen embryo morphology evaluation methods.
[0078] Based on the same inventive concept as the above method embodiments, the present invention provides a computer program product, which includes: computer program code, when the computer program code is run on a computer, the computer executes any one of the above cattle frozen embryo morphology evaluation methods.
[0079] Based on the same inventive concept as the above-mentioned method embodiments, the present invention provides a computer-readable storage medium, which stores a computer program code. When the computer program code runs on a computer, the computer executes any one of the above-mentioned cattle frozen embryo morphology evaluation methods.
[0080] In summary, compared with the morphological evaluation of cattle frozen embryos through manual observation, the present invention comprehensively considers multiple characteristics related to the morphological evaluation of cattle frozen embryos, such as internal biological characteristic values, morphological parameters, evaluation references and morphological evaluation indicators, etc., when performing morphological evaluation on cattle frozen embryos, thereby realizing the morphological evaluation of cattle frozen embryos to be evaluated and reducing the influence of human subjective factors to a certain extent, thereby improving the accuracy of morphological evaluation of cattle frozen embryos.
[0081] The above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit it. Although the present invention has been described in detail with reference to the aforementioned embodiments, a person skilled in the art should understand that the technical solutions described in the aforementioned embodiments can still be modified, or some of the technical features can be replaced by equivalents. These modifications or replacements do not deviate the essence of the corresponding technical solutions from the scope of the technical solutions of the embodiments of the present invention, and should all be included in the protection scope of the present invention.
Claims
1. A method for evaluating the morphology of cattle frozen embryos, characterized in that: The following steps are involved: Acquire a target surface image of the cattle frozen embryo to be evaluated after thawing, and a reference surface image of each reference cattle frozen embryo after thawing; Determine the internal biological characteristic values corresponding to the cattle frozen embryo to be evaluated and each reference cattle frozen embryo according to the grayscale distribution in the target surface image and each reference surface image; Extracting the target parameter values of the cattle frozen embryos to be evaluated and each reference cattle frozen embryo under each morphological parameter, and determining the evaluation reference of the cattle frozen embryos to be evaluated under each morphological parameter based on all the target parameter values and all the internal biological characteristic values; According to the evaluation reference of the cattle frozen embryos to be evaluated under all morphological parameters, the target morphological parameters are screened out from all morphological parameters; According to the internal biological characteristic values corresponding to the cattle frozen embryos to be evaluated and their evaluation reference under the target morphological parameters, the morphological evaluation indicators corresponding to the cattle frozen embryos to be evaluated are determined, and based on the morphological evaluation indicators, a morphological evaluation is performed on the cattle frozen embryos to be evaluated.
2. A cattle frozen embryo morphology evaluation method according to claim 1, characterized in that: The step of determining the internal biological characteristic values corresponding to the cattle frozen embryo to be evaluated and each reference cattle frozen embryo according to the grayscale distribution in the target surface image and each reference surface image comprises: Performing edge detection and segmentation on the target surface image and the embryo region in each reference surface image to obtain segmentation blocks; Determine the internal biological feature value corresponding to the cattle frozen embryo to be evaluated according to the grayscale difference between the background area and the embryo area in the target surface image, and the grayscale difference between different segmented blocks in the target surface image; Similarly, the internal biological feature value corresponding to each reference cattle frozen embryo is determined based on the grayscale difference between the background area and the embryo area in the reference surface image corresponding to each reference cattle frozen embryo, and the grayscale difference between different segments in the reference surface image corresponding to each reference cattle frozen embryo.
3. A cattle frozen embryo morphology evaluation method according to claim 1, characterized in that: The method of determining the evaluation reference of the cattle frozen embryo to be evaluated under each morphological parameter based on all target parameter values and all internal biological characteristic values includes: Determine any one morphological parameter as a marker morphological parameter, and determine each morphological parameter except the marker morphological parameter among all morphological parameters as a reference morphological parameter; The cattle frozen embryo to be evaluated and each reference cattle frozen embryo are collectively referred to as cattle frozen embryos; Based on the target parameter value of each cattle frozen embryo under the marked morphological parameter and its target parameter value under each reference morphological parameter, construct a coordinate point of each cattle frozen embryo between the marked morphological parameter and each reference morphological parameter, wherein the target parameter value under the marked morphological parameter is the ordinate of the coordinate point, and the target parameter value under the reference morphological parameter is the abscissa of the coordinate point; Performing curve fitting on the coordinate points between the marked morphological parameter and each reference morphological parameter for all cattle frozen embryos to obtain a parameter change curve between the marked morphological parameter and each reference morphological parameter; The ordinate corresponding to the coordinate point of the yellow cattle frozen embryo to be evaluated between the marked morphological parameter and each reference morphological parameter on the parameter change curve is determined as the fitting value of the yellow cattle frozen embryo to be evaluated between the marked morphological parameter and each reference morphological parameter; Determine the reliability of morphological evaluation of the cattle frozen embryo to be evaluated under the marked morphological parameters according to the fitting value of the cattle frozen embryo to be evaluated between the marked morphological parameters and all reference morphological parameters, and the target parameter value under the marked morphological parameters; Based on the reliability of the morphological evaluation of the cattle frozen embryo to be evaluated under the marked morphological parameters, the fitting value of the cattle frozen embryo to be evaluated between the marked morphological parameters and all reference morphological parameters, and all internal biological characteristic values, the evaluation reference of the cattle frozen embryo to be evaluated under the marked morphological parameters is determined.
4. A cattle frozen embryo morphology evaluation method according to claim 2, characterized in that: The formula for the internal biological characteristic value of the cattle frozen embryo to be evaluated is: ; Wherein, N is the internal biological characteristic value corresponding to the cattle frozen embryo to be evaluated; is the absolute value function; G is the mean of the gray values corresponding to all pixels in the embryo area in the target surface image; It is the mean of the gray values corresponding to all pixels in the background area of the target surface image; is a natural exponential function; M is the number of segments in the target surface image; j and m are the serial numbers of different segments in the target surface image; It is the mean of the gray values corresponding to all pixels in the jth segmentation block in the target surface image; It is the mean of the grayscale values corresponding to all pixels in the mth segmentation block in the target surface image.
5. The method for morphological evaluation of cattle frozen embryos according to claim 3, characterized in that: The formula corresponding to the reliability of the morphological evaluation of the frozen cattle embryos to be evaluated under the marked morphological parameters is: ; ; Wherein, E is the reliability of morphological evaluation of the cattle frozen embryo to be evaluated under the marked morphological parameters; is the natural exponential function; H is the number of reference morphological parameters; t is the serial number of the reference morphological parameter; It is A and Pearson correlation coefficient between them; A is the data set consisting of the target parameter values of all cattle frozen embryos under the marked morphological parameters; is a data set consisting of the target parameter values of all cattle frozen embryos under the tth reference morphological parameter; is the image quality interference between the marked morphological parameter and the tth reference morphological parameter of the cattle frozen embryo to be evaluated; is the absolute value function; Y is the target parameter value of the cattle frozen embryo to be evaluated under the marked morphological parameters; is the fitting value between the marker morphological parameter and the tth reference morphological parameter of the cattle frozen embryo to be evaluated.
6. A cattle frozen embryo morphology evaluation method according to claim 3, characterized in that: The method of determining the evaluation reference of the cattle frozen embryo to be evaluated under the marked morphological parameters according to the morphological evaluation reliability of the cattle frozen embryo to be evaluated under the marked morphological parameters, the fitting value of the cattle frozen embryo to be evaluated between the marked morphological parameters and all reference morphological parameters, and all internal biological characteristic values, comprises: Determine the data set consisting of the fitting values of the cattle frozen embryo to be evaluated between the marked morphological parameters and all reference morphological parameters as the fitting value set of the cattle frozen embryo to be evaluated under the marked morphological parameters; A data set consisting of internal biological characteristic values corresponding to all cattle frozen embryos is determined as an internal biological characteristic value set; Based on the morphological evaluation reliability and fitting value set of the cattle frozen embryo to be evaluated under the marked morphological parameters, as well as the internal biological characteristic value set, the evaluation reference of the cattle frozen embryo to be evaluated under the marked morphological parameters is determined.
7. A method for morphological evaluation of cattle frozen embryos according to claim 6, characterized in that: The corresponding formula for the evaluation reference of the cattle frozen embryos under the marked morphological parameters is: ; Wherein, T is the evaluation reference of the cattle frozen embryo to be evaluated under the marked morphological parameters; is the normalization function; is the Pearson correlation coefficient between XN and XY; XN is the internal biological feature value set; XY is the fitting value set of the cattle frozen embryo to be evaluated under the marked morphological parameters; E is the morphological evaluation reliability of the cattle frozen embryo to be evaluated under the marked morphological parameters.
8. The method for morphological evaluation of cattle frozen embryos according to claim 1, characterized in that: According to the evaluation reference of the cattle frozen embryos to be evaluated under all morphological parameters, the target morphological parameters are screened out from all morphological parameters, including: The morphological parameter with the greatest reference value for the evaluation of the frozen cattle embryo to be evaluated is selected from all morphological parameters as the target morphological parameter.
9. A method for morphological evaluation of cattle frozen embryos according to claim 3, characterized in that: The morphological evaluation index corresponding to the cattle frozen embryo to be evaluated is determined according to the internal biological characteristic value corresponding to the cattle frozen embryo to be evaluated and its evaluation reference under the target morphological parameter, including: The morphological evaluation indicators corresponding to the cattle frozen embryos to be evaluated are determined based on the internal biological characteristic values corresponding to the cattle frozen embryos to be evaluated and their evaluation references under the target morphological parameters, the fitting values of the cattle frozen embryos to be evaluated between the target morphological parameters and all other morphological parameters, and the target parameter values of the cattle frozen embryos to be evaluated under the target morphological parameters.
10. A method for morphological evaluation of cattle frozen embryos according to claim 9, characterized in that: The formula corresponding to the morphological evaluation index of the cattle frozen embryos to be evaluated is: ; Wherein, L is the morphological evaluation index corresponding to the cattle frozen embryo to be evaluated; is a normalized function; N is the internal biological characteristic value corresponding to the cattle frozen embryo to be evaluated; ZT is the evaluation reference of the cattle frozen embryo to be evaluated under the target morphological parameters; It is the absolute value function; is the target parameter value of the cattle frozen embryo to be evaluated under the target morphological parameter; ZY is the mean of the fitting values between the target morphological parameter and all other morphological parameters of the cattle frozen embryo to be evaluated.
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