85 results about "Laplace operator" patented technology

The present invention relates to the technical field of image fusion. Disclosed is a method for fusing infrared light and visible light images. According to the present invention, design is carried out on the basis of a spatial channel attention mechanism and a gradient aggregation residual dense block, a strong texture and weak texture of a feature are retained by integrating Sobel and Laplacian operators while combining the advantages of ResNeXt and DenseNet, and channel information and spatial information of a feature map are refined by means of introducing a spatial and channel attention mechanism, thus the information capture capability of the feature map is increased, and refined spatial and channel feature maps are fused by using a pooled fusion block, to obtain a high-quality fusion feature.

The invention relates to the field of intelligent monitoring, and discloses an infrared identification-based equipment defect detection method, which comprises the steps of infrared thermal imaging data acquisition, noise reduction processing, nonlinear heat conduction modeling, high-order partial differential optimization and variational regularization inversion solution. An infrared thermal imager collects equipment surface temperature distribution data, after multi-scale wavelet noise reduction and boundary heat flow balance optimization, a non-linear heat conduction model is established by utilizing a temperature-related heat conduction coefficient, a heat diffusion boundary is optimized by combining a high-order Laplace operator, defect heat source distribution is inverted through a variational regularization method, and the defect heat source distribution is calculated. And geometric characteristics, thermal parameters and position coordinates of the defects are accurately extracted. The method can adapt to complex working conditions, realizes high-precision detection and characteristic analysis of equipment defects, overcomes the problems of noise interference, insufficient boundary processing, weak defect inversion capability and the like in the prior art, and is widely applied to fault diagnosis and health monitoring of industrial equipment.

The invention provides a liver focus three-dimensional modeling method, and belongs to the technical field of image processing based on computer vision. Firstly, a multi-view spatial registration method based on optical flow optimization is designed, pixel-level displacement information of different view images is estimated by calculating an optical flow field, accurate image alignment is achieved, and spatial consistency of three-dimensional reconstruction is improved. And secondly, a three-dimensional reconstruction strategy based on two-dimensional focus segmentation is proposed, the two-dimensional focus segmentation is completed by adopting a lightweight U-Net variant, and a segmentation result is mapped to a three-dimensional space through a voxel probability projection method, so that 3D focus reconstruction is realized, and the calculation cost is reduced. And finally, extracting high-frequency features of the three-dimensional model by adopting a local edge enhancement method based on a Laplacian operator, and strengthening a focus boundary and a key anatomical structure through interpolation optimization, so that the three-dimensional model is more accurate and clearer. Compared with a traditional method, the method has the advantages that the mode of purely depending on image superposition is avoided, and the accuracy of three-dimensional modeling is improved.

The invention discloses a phase unwrapping method and device based on Poisson correction, terminal equipment and a storage medium, and relates to the field of interferometry, and the method comprises the steps: obtaining a to-be-processed interferometric phase diagram of a target position, and inputting the to-be-processed interferometric phase diagram into a winding number prediction model to generate a predicted winding number; according to the predicted winding number, calculating a winding number gradient, and performing lower edge filtering correction to obtain a corrected winding number gradient; performing discrete Fourier transform on the corrected horizontal component of the winding number gradient to obtain a first frequency domain transform result; carrying out Laplace operator calculation on the corrected winding number gradient and then carrying out discrete Fourier transform to obtain a second frequency domain transform result; performing inverse discrete Fourier transform on a result obtained by dividing the sum of the two frequency domain transform results by a preset frequency domain adjustment factor to obtain an error winding number; and determining a real phase according to the predicted winding number and the error winding number, and further calculating the actual elevation of the target position. According to the invention, the accuracy of phase unwrapping can be improved.

The invention provides a topological optimization method based on a manifold neural operator, and belongs to the technical field of structural design and optimization. The method comprises the following steps of S1, determining design domain geometry of a given topological optimization task, performing grid division on the design domain geometry, and solving a group of Laplace operator characteristic functions defined on a grid; s2, constructing a Laplacian kernel integral module based on the Laplacian operator feature function, and further constructing a manifold neural operator model; and S3, carrying out iterative training on the convective neural operator model according to the optimization target, optimization constraint, boundary conditions and material attributes of the topological optimization task. By the adoption of the method, continuous field-to-field geometric structure representation is achieved by introducing the manifold neural operator, the problem that local continuity of a geometric structure obtained through a traditional discrete point-to-point representation mode based on a full-connection neural network is poor is solved, and topological optimization design with better manufacturability is achieved.

The invention discloses a QEM algorithm optimization method based on sharp feature degree and area weighting, and belongs to the technical field of image processing, and the method comprises the steps: S1, obtaining a to-be-simplified model, carrying out the simplification through a QEM algorithm, replacing the original folding cost with the optimization folding cost during the simplification, and obtaining a first simplified model; and S2, optimizing each vertex in the first simplified model based on a Laplacian operator to obtain an optimal simplified model. According to the method, on the basis of a traditional QEM algorithm, a new constraint factor is introduced to improve folding cost and generate optimized folding cost, model folding can be considered from more aspects, especially on geometric detail feature processing, model vertex optimization is additionally introduced in model rendering except for operation simplification, and therefore the model folding efficiency is improved. Low-quality long and narrow triangles can be eliminated to the greatest extent, so that the surface of the geometric model is smoother after rendering, and the overall quality of the model is improved.

The invention discloses an aviation electromagnetic multi-component data processing method for three-dimensional complex geologic body detection. The method mainly solves the technical problem that it is difficult to visually and accurately judge the spatial position and distribution condition of an abnormal body. Comprising the steps of obtaining six-component magnetic field detection data; preprocessing the six-component magnetic field detection data, and preliminarily distributing the dynamic weight of the preprocessed six-component magnetic field data; establishing an electromagnetic field forward modeling equation, simulating six-component magnetic field response by using an electromagnetic field forward modeling model, generating corresponding simulated six-component magnetic field response data, and comparing the simulated six-component magnetic field response data with six-component magnetic field detection data to form constraint conditions of an inversion process; carrying out the spatial enhancement of the anomalous body of the three-dimensional complex geologic body in combination with a Laplace operator and the second derivative of the magnetic field gradient component after the initial distribution of the dynamic weight; building a multi-modal network; and inputting the preprocessed six-component magnetic field data into a multi-modal network to obtain a three-dimensional resistivity model or geologic body probability distribution corresponding to the three-dimensional complex geologic body.

The invention relates to the technical field of image processing, in particular to a lens edge detection method and system based on image generation, and the method comprises the following steps: collecting a lens image through an industrial camera, carrying out the weighted graying, extracting an edge coordinate through a Laplace operator, constructing an edge pixel coordinate set, and carrying out the image processing; screening an edge validity marking result by combining a gray difference threshold, calculating a phase difference between a gradient direction and light source incidence based on a Sobel operator, extracting pixels in a consistent direction, carrying out spatial clustering, generating a lens edge pixel cluster, and fitting a continuous curve to construct a complete lens edge contour. Noise and reflection interference are restrained through pixel neighborhood gray difference, effective pixels are screened in combination with a gradient direction and light source incident phase relation, edge direction consistency is enhanced, pixels are clustered according to spatial continuity and gradient intensity, contours are continuously fitted based on pixel cluster distribution, and lens edge integrity and geometric consistency under complex illumination are improved.

The invention discloses a multi-grid interpolation method and device for an unstructured grid in an aircraft simulation process, equipment and a storage medium, and relates to the technical field of fluid calculation research, and the method comprises the steps: determining a coarse grid interpolation unit having a common point with a to-be-interpolated fine grid unit based on the topological relation of the unstructured grid of an aircraft simulation model; determining a first central point and a first central point coordinate of the fine grid unit to be interpolated, and a second central point, a second central point coordinate and a corresponding first physical quantity value of the coarse grid interpolation unit, and determining a central point distance based on the first central point coordinate and the second central point coordinate; determining a first interpolation coefficient by using a target pseudo Laplace operator and based on the distance between the first physical quantity value and the central point; and normalizing the first interpolation coefficient to obtain a second interpolation coefficient, and interpolating the fine grid unit to be interpolated by using a second physical quantity value determined based on the second interpolation coefficient and the first physical quantity value. In this way, the robustness of the interpolation of the unstructured grid can be improved.

The invention relates to the technical field of machine vision detection, in particular to an automobile part surface defect online detection method and system. The method comprises the following steps: acquiring a grayscale image, calculating the size of a structural element for each pixel based on a local Gaussian Laplacian operator response variance, filtering to obtain a substrate image according to the size of the structural element, and differentiating to obtain a texture image. Determining a Gabor scale and a gray-level co-occurrence matrix statistical direction by using the size, and extracting a cooperative direction gray-level co-occurrence matrix feature; and a weight is set based on the size and is subjected to weighted fusion with a multi-scale rotation invariant local binary pattern feature to generate a texture saliency map, and texture defects are judged. On the substrate image, taking the gray value as the height, and determining a neighborhood calculation curvature feature based on the size to detect the substrate defect. According to the scheme, the image scale can be adaptively analyzed, the background texture is effectively inhibited, and therefore different types of tiny defects such as scratches and pits can be reliably detected.

The invention discloses a feature point detection method based on edge saliency and scale sensitivity. The method comprises the following steps of performing Gaussian smooth denoising on an input image; calculating the edge saliency of the pixel points through a Laplace operator; calculating a texture change degree based on the local gradient magnitude; generating a scale sensitivity weighted value through multi-scale analysis; candidate points are screened in combination with edge saliency, texture weighting and scale weighted values, and mismatching points are removed through non-maximum suppression; and finally, key points are enhanced and marked. According to the method, the edge structure, the texture information and the multi-scale features are fused, the robustness and accuracy of feature point detection are improved, and the method is particularly suitable for image matching and target recognition tasks in complex scenes.

The invention relates to the technical field of intelligent printing quality detection, in particular to an intelligent printing quality detection method based on image recognition. The system comprises an image preprocessing module, a physical model construction module, a deformation iterative calculation module, an energy decoupling analysis module and a closed-loop feedback control module. The method comprises the steps of generating a feature point matrix and a to-be-detected feature field by acquiring standard and real-time image data; the core of the method is to construct a virtual tensor spring network model, map image differences into an external acting force field, and solve deformation potential energy distribution by using finite element iteration; a Laplace operator is adopted to execute energy decoupling, low-frequency isotropic stress and high-frequency topological potential energy singular points are separated, and a residual thermodynamic diagram is generated according to the singular points to position defects and adjust transmission tension; according to the method, the transformation from pure image comparison to physical potential energy evolution is realized, the mutual exclusion limitation of deformation tolerance and detection sensitivity is broken through, and the nonlinear deformation interference in the high-speed transmission of the flexible material can be effectively filtered.

The present application relates to the technical field of simulation system, specifically to a virtual battlefield scene simulation system and method thereof, the system comprises: terrain node identification module, combat unit control radius extraction module, terrain advantage area preliminary demarcation module, control force gradient evolution analysis module, advantage area boundary dynamic adjustment module.In the present application, through the joint screening based on elevation, visible penetration rate and surface roughness, the key nodes with cover and accessibility are accurately identified, the terrain selection accuracy is improved, the spatial distance between the advantage nodes and the combat units is calculated to realize the accurate association between the control range and the deployment, the isolated points are excluded by node clustering division, the complete control domain contour is constructed, the Laplace operator is introduced to calculate the control force change rate, the boundary is dynamically adjusted in response to the situation evolution, the spatial continuity and change logic of the control force expression are strengthened, and the scene adaptability and deduction accuracy in the simulation process are enhanced.

The invention belongs to the technical field of building boundary segmentation, and provides a remote sensing image building boundary segmentation method based on a U-net network model, and the method comprises the steps: extracting a gradient magnitude image through a Sobel operator, generating a binary boundary mask, dynamically adjusting the weight of a convolution kernel in combination with a gradient direction, and enhancing the feature extraction capability of a boundary region; boundary artifacts output by cavity convolution are suppressed through a high-frequency residual boundary mask, an artifact area is restored in combination with gradient direction constraint, and original detail features are reserved; calculating complexity scores based on boundary density and tortuosity, adaptively selecting voidage, and balancing global context and local detail capture capability; extracting a high-frequency component through a Laplace operator, marking an artifact point by combining a dynamic threshold value, and repairing an abnormal region by utilizing a neighborhood gradient direction; the method solves the performance bottleneck of a traditional method in a boundary fuzzy, artifact interference and receptive field fixed scene, and is suitable for remote sensing image analysis tasks such as urban planning and disaster assessment.

The invention discloses a variable grid method grid automatic division method and device based on vector field guidance. The method comprises the following steps: extracting boundary feature points according to geometric features of an input model boundary so as to construct a feature polygon of a model, and dispersing the feature polygon into a triangular mesh model; constructing a vector field based on a Laplacian operator by using the triangular mesh model; starting from the geometric center of the model, setting an initial quadrilateral grid as an initial paving layer, paving the quadrilateral grid outwards layer by layer, and if the paving layer exceeds the boundary of the model, stopping paving; when each layer of quadrilateral grid deforms, uniform transition is achieved through a size transition template; and finally, generating a boundary quadrilateral mesh of the model by adopting a mapping method, mapping discrete points on the boundary of the feature polygon back to the boundary of the input model, and outputting a generated quadrilateral mesh model. According to the method, full-automatic generation of the quadrilateral mesh can be realized, and the method is particularly suitable for mesh generation in finite element simulation pretreatment.

The invention relates to a farmland intelligent identification method of an interactive double-branch network based on deep learning, and belongs to the technical field of remote sensing image intelligent analysis and farmland information extraction. The method is composed of two mutually interactive branches which are focused on farmland feature extraction and boundary feature extraction respectively, Gaussian filtering and a Laplace operator are introduced in the boundary feature extraction branch, a double attention module is designed, fine-grained farmland features and boundary features are fused, and a fine-grained farmland feature and boundary feature fusion model is obtained. And the perceptual ability of the model to the farmland boundary is enhanced. In a farmland feature extraction branch, a hierarchical visual Transform structure is adopted, and a channel-space grouping is used for enhancing an attention module so as to improve the expression ability of farmland semantic features; meanwhile, a boundary semantic fusion module is designed to introduce boundary detail information into high-level semantic features, so that the recognition effect is further optimized, finally, comprehensive utilization of different scale features is achieved through a pyramid fusion module, and the recognition capacity of the model for diversified farmlands is effectively improved. According to the method, the description capability and the overall recognition precision of the model on farmland details are effectively improved.

The embodiment of the invention provides an image definition judgment method and device, equipment and a medium, and the method comprises the steps: determining gradient information and Laplacian operator information of an image, the gradient information being used for representing the definition of the image, and the Laplacian operator information being used for representing the definition of the image; determining a definition weight coefficient according to a preset image contour detection algorithm; determining the target definition of the image according to the gradient information, the Laplacian operator information and the definition weight coefficient; when the target definition is greater than a preset threshold value, determining that the image is a clear image; and synthesizing the gradient information, the Laplacian operator information and the definition weight coefficient, calculating the target definition, and comparing the target definition with a preset threshold to judge whether the image is clear or not. According to the method, the edge detection precision is improved, and the reliability and adaptability of definition evaluation under a complex background are remarkably enhanced through multi-dimensional information fusion and weight adjustment.

This invention discloses a method for locating abnormally overheating components on circuit boards based on thermal images. Starting from the characteristics of the thermal image itself, it obtains difference images under normal and abnormal conditions, and performs image registration using an accelerated robust feature registration algorithm optimized based on the Laplacian operator. This ensures that the difference images under abnormal and normal conditions are well aligned after registration, resulting in a clear differential thermal image. Then, outlier detection is performed on the differential thermal image using the Laplacian distribution, obtaining a differential thermal image after outlier detection, thus initially identifying abnormally overheating regions and locating the abnormally overheating components. Finally, kernel density estimation is used to determine the number of K-means clusters, and the K-means algorithm is used to segment the differential thermal image after outlier detection, obtaining a K-means segmented image. Morphological opening-closing operations are then performed on the image to remove minute lines. The thermal image segmentation results of this invention can accurately provide information on abnormally overheating components, enabling accurate location and identification of these components, helping to narrow down the defect range and providing defect judgment information.

The invention discloses a semantic space topology driven multistage SLAM closed-loop detection method and device, a medium and a product, and relates to the field of computer vision. The method comprises the following steps: preprocessing image data corresponding to a key frame by using a region growing algorithm and a Laplacian operator; constructing a semantic feature vector based on a preprocessing result, calculating the similarity and a similarity threshold value of the current key frame and the non-connected key frame, and screening a first-level closed-loop candidate key frame; screening second-level closed-loop candidate key frames from the first-level closed-loop candidate key frames by utilizing a continuity condition; constructing a BFS tree of an undirected complete graph of the current key frame by using instance abstract space information, calculating the similarity with the BFS tree of the undirected complete graph of the secondary closed-loop candidate key frame, and taking the candidate frame with the highest similarity as a closed-loop key frame; and realizing closed-loop detection according to the relationship between the closed-loop key frame similarity and a threshold value. The problem that closed-loop detection cannot be accurately realized due to the influence of illumination and view angle change in a scene is solved.

The invention relates to a mark point hole filling method, device and equipment. The method comprises the steps of obtaining boundary point data of a target hole in the surface of a three-dimensional model, wherein the target hole is a hole formed by scanning mark points; filling the target hole according to the boundary point data of the target hole, and determining a triangular mesh and / or a triangular filling vertex used for filling; according to the triangular mesh and / or the triangular filling vertex, updating the initial topological structure of the three-dimensional model to obtain the topological structure of the updated mesh data corresponding to the three-dimensional model; and if the target hole is filled by using the triangular filling vertex, optimizing and adjusting the position of the triangular filling vertex in the topological structure of the updated grid data by using a Laplace operator linear system so as to obtain the grid data of the three-dimensional model after hole filling. By adopting the method, the hole filling effect of the marked points can be achieved.

This provides a method for denoising seismic profiles based on an improved Laplacian filter and reverse time migration. [Solution] A method for denoising earthquake profiles based on an improved Laplacian filter and reverse time migration, comprising the steps of: collecting earthquake data and obtaining imaging results after reverse time migration processing; calculating the difference of the second derivatives of the Laplace operator in the x and z directions, displaying them in 8-neighbor second derivative form, decomposing this into four Laplacian filters including two relative directions to obtain an improved Laplacian filter; and using the improved Laplacian filter relating only to the second derivative in the z-axis direction, performing noise reduction by filtering on the imaging results after reverse time migration processing.

The present invention relates to a depth estimation method for microscopic discrete noise scenes. The method comprises the following steps: 1, using a micron-level stepping motor to collect a multi-depth image sequence of the microscopic discrete noise scene; 2, using a multi-directional Laplacian operator to perform a convolution operation with the image sequence to obtain multiple focal volume results; 3, obtaining multiple initial depth maps based on the location of the maximum focal volume result; 4, screening the initial depth maps based on constraints proposed from the perspective of statistical data stability; 5, fusing the screened depth maps; 6, combining the image sequence with the fused depth map to obtain a fused image; and 7, performing weighted median filtering on the fused depth map and the fused image to obtain a final depth map of the microscopic scene. The method proposed in the present invention can accurately estimate the depth information of microscopic discrete noise scenes.

The invention provides an online visual detection method and device for flaws of high-speed moving cloth, and relates to the technical field of cloth flaw detection.The online visual detection method comprises the steps that firstly, a response diagram is obtained through time-sharing exposure, a normalized surface gradient modulus is calculated through a normalized difference ratio and logarithm compression, and color albedo interference is eliminated; curvature features are extracted by calculating the absolute value of a Hessian matrix and the square of a Laplacian operator and combined to generate a mixed curvature tensor, and tiny deformation is accurately captured; then manifold unsupervised reconstruction is carried out based on a Gaussian weighted model of a hollowed-out center pixel to obtain an ideal reconstruction tensor, and sample-free adaptive prediction is realized; difference is calculated, a local signal-to-noise ratio abnormal response index is obtained through local statistical window standard deviation normalization, and texture roughness interference is removed; and finally, positioning flaws, carrying out double-threshold judgment by calculating a flaw structure characteristic value and a flaw oil stain characteristic value, and outputting flaw coordinates and categories.

The invention provides a rapid detection method and system for parasites in fresh food, and the method comprises the steps: collecting a multispectral image of the fresh food, selecting near-infrared and green light channels, calculating a normalized differential value, generating a parasite stress feature map, and calculating the global variance of the feature map; edge texture features are extracted through a Laplacian operator, and the original spectrogram and the two feature maps are stacked and input into a deep network; the network intermediate layer divides the features into a core group and an auxiliary group, the core group generates a channel vector, and the auxiliary group performs discrete cosine transform compression according to global variance; splicing the compression feature and the core feature to obtain a depth feature vector; meanwhile, carrying out weighted fusion on the multispectral image by utilizing a channel vector, calculating a gradient covariance matrix and flattening the gradient covariance matrix to obtain a spectral statistical vector; and splicing the depth features and the spectral statistical vectors, outputting a detection score through a classifier, and comparing the detection score with a threshold value to obtain a detection conclusion.

The application discloses a kind of semi-supervised medical image segmentation method and system, it is related to image segmentation technical field, method includes: through the foreground probability graph of student network output, calculate its three-dimensional gradient amplitude and the space average weighted sum of discrete three-dimensional Laplace operator, obtain global boundary roughness scalar;Combining voxel level entropy and soft boundary indicator constructs roughness perception consistency loss, realizes adaptive course learning;Drive scaling factor to carry out residual modulation to geometric contrast loss, enhance the structure discriminant of boundary region;Guide boundary gradient alignment, curvature smoothing and pseudo-supervised threshold, through the weighted joint optimization student network of three, teacher network is updated with exponential moving average.The application introduces global boundary roughness scalar, cooperates and controls entropy consistency, geometric boundary contrast and gradient-curvature-pseudo-supervised joint regularization, significantly improves the boundary precision and robustness of medical image segmentation under semi-supervised condition.

The invention discloses a tunnel water leakage detection method based on refrigeration type infrared thermal imaging. The method comprises the following steps: obtaining a temperature value two-dimensional matrix; traversing each part of original temperature field data, and extracting a feature threshold value; calculating a second-order gradient field by adopting an eight-direction Laplacian operator; extracting a second-order temperature gradient characteristic average value of the low-temperature domain; selecting a second-order temperature gradient upper limit and a second-order temperature gradient lower limit as leakage water quantitative screening criteria based on temperature field second-order gradient characteristics; selecting data meeting quantitative screening criteria, and preliminarily rejecting non-leakage data; for the data meeting the quantitative screening criterion, dividing dry and wet areas of the data by taking the dry and wet boundary temperature as a temperature contour line, and drawing; data which cannot be eliminated through a single temperature field identification mode and contains a regular-shape non-leakage area are eliminated; and outputting the data information containing the leakage water and a corresponding leakage water segmentation result image. The method has the advantage that the tunnel leakage water disease identification accuracy is improved.

The invention discloses a color image vision enhancement method. The method comprises the following steps: acquiring an original color image and separating three color components; a Laplace operator is used to sharpen each component image, a Sobel operator is used to extract horizontal and vertical gradients respectively, the gradients are transformed based on a Gaussian function and normalization processing is completed, natural logarithm operation is carried out on an original component image and a normalized gradient image respectively, two obtained logarithm domain images are added and then exponent recovery is carried out, and a final component image is obtained. Restoring the component image to a gray domain, and performing Sigmoid function transformation on the restored component image; and calculating the global maximum and minimum values of the Sigmoid enhanced images of the three component images, performing linear stretching, and finally combining the stretched color component images to obtain a visual enhanced color image. According to the invention, the permeability of the color image can be improved, the brightness of the color image under the condition of low illumination can be improved, and the color effect matched with the visual habit of human eyes can be kept.

The present invention discloses a method for constructing a manifold neural operator for boundary value problems, which relates to the technical field of machine learning. The steps are as follows: S1. Obtain the Laplace operator eigenfunctions Ψ of the geometry where the solution function is located g and the Laplace operator eigenfunctions Ψ of the geometry where the boundary condition function is located b ; S2. Based on the eigenfunctions Ψ g construct a manifold neural operator to obtain a geometric encoding network, and thereby obtain a set of geometric embedding functions; S3. Based on the eigenfunctions Ψ b construct a manifold neural operator to obtain a boundary condition encoding network, and thereby obtain a boundary condition embedding quantity; S4. Approximate the solution function based on the combination of the set of geometric embedding functions and the boundary condition function embedding vector, so as to construct a manifold neural operator for boundary value problems. The method for constructing a manifold neural operator for boundary value problems adopting the above steps realizes the embedding of complex geometric information in the process of solving boundary value problems and reduces the difficulty of the network in solving boundary value problems.

The invention discloses a semi-supervised medical image segmentation method and system, and relates to the technical field of image segmentation, and the method comprises the steps: calculating the spatial average weighted sum of the three-dimensional gradient magnitude and a discrete three-dimensional Laplacian operator through a foreground probability graph outputted by a student network, and obtaining a global boundary roughness scalar; the voxel-level entropy and the soft boundary indicator are combined to construct the consistency loss of roughness perception, and adaptive course learning is realized; carrying out residual modulation on geometric contrast loss by driving a scaling factor, and enhancing the structural discrimination force of a boundary region; boundary gradient alignment, curvature smoothing and a pseudo-supervision threshold are guided, and the student network and the teacher network are optimized through weighted joint of the three so as to perform index moving average updating. According to the method, the global boundary roughness scalar is introduced, entropy consistency, geometric boundary comparison and gradient-curvature-pseudo supervision joint regularization are cooperatively regulated, and the boundary precision and robustness of medical image segmentation are remarkably improved under the semi-supervised condition.

The present invention provides an elastic wave field separation method, device and medium based on Helmholtz decomposition. In wave field separation, the method uses the relationships among gradient, divergence, curl and exterior derivative operations, and proposes a wave field separation method based on the scalar Poisson equation. Compared with the method based on the vector Poisson equation, the method can significantly reduce the computational cost. The method also includes using the connection between the Laplace operator in the spatial domain and the wavenumber domain. The method combines the smooth extension technology of the truncation function to handle general boundary problems, and finally no artifacts will appear in the separated P-wave field boundary and S-wave field boundary.