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190 results about "Level set method" patented technology

Level-set methods (LSM) are a conceptual framework for using level sets as a tool for numerical analysis of surfaces and shapes. The advantage of the level-set model is that one can perform numerical computations involving curves and surfaces on a fixed Cartesian grid without having to parameterize these objects (this is called the Eulerian approach). Also, the level-set method makes it very easy to follow shapes that change topology, for example, when a shape splits in two, develops holes, or the reverse of these operations.

Distributed level cluster method and system of geographic information service

ActiveCN101729412AReduce storage burdenAlleviate the problem of poor reliabilityData switching networksCluster systemsDistributed computing
The invention provides distributed level cluster method and system of geographic information service, wherein the cluster system comprises a plurality of load equalizers, a plurality of secondary load equalizers and a plurality of service nodes. Each load equalizer is provided with at least one stage equalizer secondary node; the equalizer secondary node comprises at least one secondary load equalizer; and the secondary load equalizer of the equalizer secondary node is an equalizer middle secondary node or an equalizer leaf node belonging to a root load equalizer. When the secondary load equalizer is the equalizer middle secondary node, the secondary load equalizer has a next stage equalizer secondary node; when the secondary load equalizer is the equalizer leaf node, the secondary load equalizer has a leaf service node secondary node, and the leaf service node secondary node comprises at least one service node. The invention can reduce the storage burden of the cluster system, solve the problem of low reliability of the cluster system, which is caused by the storage burden, realize cluster redundancy and increase the efficiency and the reliability of the whole cluster system and does not need to increase additional costs.
Owner:BEIJING SUPERMAP SOFTWARE CO LTD

Synthetic aperture radar image segmentation method based on level set

The invention discloses an image partition method of synthetic aperture radars (SAR) which is based on a level set and relates to the application technology of radar remote sensing. The method comprises the following procedures: an SAR echoed signal is acquired by a receiver and a hybrid probability model of an SAR image is computed; a boundary detection operator is computed according to the hybrid probability model; an energy functional based on a boundary information is acquired by combining a geodesic active contour model with the boundary detection operator; the energy functional based on a region information is computed and a partition model is defined as the weighted sum of the energy functional which are based on the region information and the boundary information; the partition model is minimized by a variation method, so as to acquire the partition result of the SAR image. As the invention uses the level set method for transforming curve movement into curved surface movement, even if the target boundary is disunited or merged in the image partition, the topology structure of the curved surfaces does not change, and simultaneously the invention does not need a noise preprocessing procedure, thus improving the precision and the applicability of the SAR image partition.
Owner:UNIV OF ELECTRONICS SCI & TECH OF CHINA

Level set polarization SAR image segmentation method based on polarization characteristic decomposition

A level set polarization SAR image segmentation method based on polarization characteristic decomposition, belonging to the radar remote sensing technology or the image processing technology. In the invention, a polarization characteristic vector v which is composed of three polarization characteristics: H, alpha and A is obtained by the polarization characteristic decomposition of each pixel point of the original polarization SAR image; the polarization characteristic vectors v of all the pixel points are combined into a polarization characteristic matrix omega so as to convert the segmentation problem of the polarization SAR image from data space to polarization characteristic vector space; and the condition that the characteristic vector definition is suitable for energy functional of the polarization SAR image segmentation is utilized and a level set method is adopted to realize the numerical value solution of partial differential equation, thus realizing the polarization SAR image segmentation. The method provided by the invention takes full use of the polarization information of the polarization SAR image; therefore, the image edge obtained by segmentation is relatively complete so that the local characteristic is maintained better, the robustness for noise is stronger, the stability of the arithmetic is higher and the segmentation result is accurate; and the invention reduces the complexity of data and can effectively improve the image segmentation speed.
Owner:UNIV OF ELECTRONICS SCI & TECH OF CHINA

Propagating Shell for Segmenting Objects with Fuzzy Boundaries, Automatic Volume Determination and Tumor Detection Using Computer Tomography

A dynamic thresholding level set method combines two optimization processes, i.e., a level set segmentation and an optimal threshold calculation in a local histogram, into one process that involves a structure called a “propagating shell.” The propagating shell is a mobile 3-dimensional shell structure with a thickness that encompasses the boundary of an object, the boundary between two objects or the boundary between an object and a background. Because the local optimal threshold tends to shift to a value of a small region in a histogram, the shift can drive the propagating shell to an object boundary by pushing or pulling the propagating shell. The segmentation process is an optimizing process to find a balanced histogram with minimal threshold shift. When the histogram in the propagating shell is balanced, the optimal threshold becomes stable, and the propagating shell reaches a convergence location, i.e., an object boundary. This method can be applied to computer-aided organ and tumor volumetrics.
Owner:THE GENERAL HOSPITAL CORP

Pulmonary nodule three-dimensional segmentation and feature extraction method and system thereof

The invention belongs to the application field of computer analysis technology of medical image, and relates to a pulmonary nodule three-dimensional segmentation and feature extraction method and a system thereof based on chest CT. By adopting a level set method based on a three-dimensional space, pulmonary nodule is divided within a three-dimensional interest area, and the feature of the nodule can be extracted by combining the characteristics of a bounding curved surface and the interest area of the pulmonary nodule. The invention comprises a lung area segmentation module, a three-dimensional interest area extracting module, a pulmonary nodule three-dimensional segmentation module, a nodule feature extraction and quantification module and an output module. The invention fully utilizes the three-dimensional space information of HRCT image, thus reducing the interference of normal tissues around the nodule for segmentation and feature extraction, and improving the accuracy of feature extraction.
Owner:HUAZHONG UNIV OF SCI & TECH

Method for simulating stable but non-dissipative water

A method for graphically simulating stable but non-dissipative water in real-time includes steps for modeling multiphase materials with grid of nodes, suppressing numerical dissipation for getting rid of loss of mass of material, and suppressing numerical diffusion for reducing dampening of the fluid motion of materials in liquid phase. The step of modeling multiphase materials includes steps of describing liquid and gas with a set of nonlinear partial differential equations, representing the liquid-gas interface as an implicit surface, and determining properties of the materials, from the information about the liquid-gas interface, including the surface curvature and the surface tension. The set of nonlinear partial differential equations includes multiphase incompressible Navier-Stokes equations. The step of representing the liquid-gas interface includes a level set method.
Owner:SEOUL NAT UNIV R&DB FOUND +1

Three-dimensional medical image segmentation method

The invention discloses a three-dimensional medical image segmentation method. The method comprises the following steps: firstly performing three-dimensional superposition reconstruction on sequential two-dimensional medical image, and then performing Gaussian filter smoothing in a three-dimensional space; carrying out three-dimensional space contraction computation on the three-dimensional medical image, and calculating and recording the contraction orders and the energy characteristics of every three-dimensional pixel point; performing three-dimensional space extension on the three-dimensional medical image in a plurality of areas by a level set method; and finally extracting and segmenting the three-dimensional pixel points in the three-dimensional image according to information of interested areas, and respectively generating a plurality of three-dimensional images of the interested areas. The method has positive effects of strong timeliness, high computing efficiency, high segmentation accuracy, and clear and reliable image local features, and can achieve simultaneous segmentation of a plurality of areas.
Owner:四川锦江电子医疗器械科技股份有限公司

Constrained surface evolutions for prostate and bladder segmentation in CT images

InactiveUS20070014462A1Accurate and stable segmentationImage enhancementImage analysisMedicineBayesian formulation
A Bayesian formulation for coupled surface evolutions in level set methods and application to the segmentation of the prostate and the bladder in CT images are disclosed. A Bayesian framework imposing a shape constraint on the prostate is also disclosed, while coupling its shape extraction with that of the bladder. Constraining the segmentation process improves the extraction of both organs' shapes.
Owner:SIEMENS MEDICAL SOLUTIONS USA INC

Blood vessel extraction method

InactiveCN104978726AFull extraction implementationEffective combinationImage analysisComputer visionComputer science
The invention provides a blood vessel extraction method. The method comprises steps of reading angiography data; adopting a region growing method on the data to obtain a first result; adopting a level set method to obtain a second result; performing morphological combination according to the first result and the second result; and performing blood vessel extraction of the angiography data. According to the invention, advantages of the region growing method based on the threshold and the gradient and the level set method based on the radius and the gradient are effectively combined, and region growing of bones and blood vessels are flexibly utilized to assist the blood vessel extraction, so that the complete extraction of blood vessels can be achieved.
Owner:SHANGHAI UNITED IMAGING HEALTHCARE

Level set method for edge detection of SAR images of airport roads

The invention discloses a level set based method for edge detection of SAR images, which mainly overcomes the defect that the existing methods for edge detection of SAR images can not well suppress the impacts of speckle noises. The method comprises the following steps: (1) inputting the SAR images and carrying out median filtering and brightness transform in sequence to obtain the enhanced images; (2) manually selecting initialized seed points on the enhanced images and beginning area growth; (3) carrying out morphological close operation and removal operation on the area growth result in sequence to obtain the edge profile of the smoothened destination area; (4) obtaining a level set evolved initialized zero level set according to the edge profile of the destination area, which is obtained through area growth; and (5) carrying out level set evolution until the preset iterative evolution frequency is met to obtain the final edge profile of the destination area. The method can effectively overcome the impacts of speckle noises of the SAR images on edge detection, is accurate in edge detection and can be used for edge detection of the SAR images of airport runways and roads.
Owner:XIDIAN UNIV

Mura defect level judgment method and device based on deep learning

The invention relates to a Mura defect level judgment method and device based on deep learning. The method comprises the following steps that: setting a Mura defect level tag, and enabling a Mura defect image sample to correspond to the Mura defect level tag one by one according to a preset level; then, taking the Mura defect image sample as an input neuron to enter a network, carrying out training after feature extraction is carried out, and outputting a training result after the training result passes through a classifier, and obtaining a Mura defect image corresponding to the Mura defect level tag; and finally, outputting the Mura defect image test sample through feature extraction after the Mura defect image test sample passes through the classifier, and comparing with the Mura defectimage sample features with a Mura defect level tag to obtain the Mura defect level corresponding to classification. By use of the method, the Mura defect of a panel can be subjected to accurate and detailed judgment and output, the limitation of a traditional algorithm can be successfully evaded, and meanwhile, human cost can be greatly lowered.
Owner:WUHAN JINGCE ELECTRONICS GRP CO LTD

Hierarchical FPGA layout and wiring method based on multi-level method and empowerment hypergraph

InactiveCN106919769AExcellent group effectOptimizing Local Interconnect LinesSpecial data processing applicationsComputer architectureResearch Object
The invention relates to a hierarchical FPGA layout and wiring method based on a multi-level method and empowerment hypergraph. A mathematical model of a logical netlist in a hierarchical FPGA layout and wiring process is constructed by using empowerment hypergraph; circuit logic units are represented as nodes in the empowerment hypergraph; wiring among the circuit units is expressed as overrides in the empowerment hypergraph. The multi-level method is adopted as a hierarchical FPGA layout and wiring method to effectively meet the higher requirements of VLSI on the operating efficiency and processing capacity. The method can gradually reduce the scale of problems and the time complexity of methods by bottom up cluster stage and also can process details of problems level by level, increasing solution accuracy of methods by means of top-down projection optimization so as to be naturally combined with hierarchical features of researched objects. By means of the hierarchical FPGA layout and wiring method based on the multi-level method and empowerment hypergraph, the time complexity of FPGA physical design can be effectively reduced and the design capability and performance of FPGA are increased.
Owner:冷明

Active contour tracing method based on superpixel

InactiveCN103366382AThe distance measure is true and reliableGood modelingImage analysisDiscriminantHat matrix
The invention discloses an active contour tracing method based on superpixel. The method comprises the following steps of carrying out the superpixel segmentation on a training image to obtain a training sample pool of a target and a background, adopting a measuring learning method to obtain a distance measuring projection matrix according to a training sample, establishing a judgment-type appearance model, carrying out the superpiexel segmentation on each frame of test image of a sequence image, obtaining a confidence diagram corresponding to the test image according to the established judgment-type appearance model, obtaining a speed field of the test image, substituting the speed field into an evolution equation of a level set method, and obtaining a contour trace result of the test image. Compared with the prior art, the contour evolution efficiency of each frame of test image can be improved, and the tracing accuracy and tracing efficiency of the sequence image can be improved.
Owner:UNIV OF ELECTRONICS SCI & TECH OF CHINA

Method for delineation of tissue lesions

The present invention relates to a method for estimating a measure of a penumbra size of a penumbra in biological tissue wherein first and second images obtained respectively by perfusion weighted imaging (PWI) and diffusion weighted imaging (DWI) are analyzed, and wherein the analysis of the first image includes application of a level set method, and the analysis of the second image includes application of a grayscale morphological operation. In a further embodiment of the invention, a connected component labeling algorithm maybe applied on any one of the first and second image. The invention further relates to a system, a computer program product and use of a corresponding method.
Owner:REGION MIDTJYLLAND +1

User interactive level set methods for image segmentation

A method for boundary based image segmentation comprises segmenting an image, providing a level set representation of the segmentation for interaction, and providing an interactive edit of the level set representation. The method further comprises converting the interactive edit into a propagation constraint, and determining a segment according to the interactive edit and the level set representation.
Owner:SIEMENS MEDICAL SOLUTIONS USA INC

Narrowband constraint-based local segmentation method for geometric activity contour model image

The invention discloses a narrowband constraint-based local segmentation method for a geometric activity contour model and belongs to the field of image processing. The method comprises the followingsteps of constructing a narrow-band range based on particle swarm threshold segmentation and morphology expansion; constructing an energy function of fusing a global energy item and a local energy item by a self-adaptive coefficient; and solving the energy function by adopting the level set method. According to the invention, the local segmentation calculation region is optimized, and the self-adaptation coefficient of the global energy term and the local energy term is achieved. Therefore, the efficiency and the accuracy of the local segmentation of a grayscale uneven image are improved. Theproblems that the narrow-band control is unstable and the curve evolution precision is insufficient during the local segmentation of the grayscale uneven image are solved. The problem that the energyfunction model fitted by the global energy item and the local energy item cannot be rapidly and accurately segmented is also solved.
Owner:SHANDONG UNIV

Workpiece detecting and sorting device and method based on visual robot

The invention discloses a workpiece detecting and sorting device and method based on a visual robot. The device comprises a transmission device, a robot and a computer. The transmission device collects a workpiece image, analysis is carried out through a computer, and the robot grabs a damaged workpiece. Compared with the prior art, the workpiece detecting and sorting device and method based on the visual robot is characterized in that Haar-like features are adopted to establish a weak classifier based on gray level changes, an AdaBoost algorithm is used for forming a strong classifier with high accuracy, cascading of the strong classifier is then carried out, a region of interest (ROI) containing a target object is extracted in the image, and the better detection accuracy and the real-time effect are obtained; a defect image is obtained in the target object, and a level set method is used for obtaining a defect ROI to form a training sample; and a convolutional neural network (CNN) isintroduced as a training model, and the accuracy of defect classification is improved.
Owner:SUZHOU VOCATIONAL UNIV

Remote-sensing image road network extract method based on improved C-V model

The invention discloses a remote-sensing image road network extract method based on an improved C-V mode, comprising the following steps: (1) pre-processing initial remote-sensing images; (2) selecting seed points and segmenting a first road network subimage; (3) using the level set method of the improved C-V model to extract a road network area; (4) using the method of morphologic detailing to extract the center line of the road network; (5) segmenting the next road network subimage according to the subimage position criterion rule to automatically obtain the road network initial curve according to threshold segmentation and the morphologic method. The method of the invention can be employed to effectively extract the road network from the remote-sensing image, upgrade urban road network in real time and effectively assist decision-makers in formulating traffic planning.
Owner:ZHEJIANG UNIV

Multi-level cache method based on historical upgrading and downgrading frequency

The invention provides a multi-lever cache method based on historical upgrading and downgrading frequency. The multi-lever cache method based on the historical upgrading and downgrading frequency is based on historical hinting information of a data block, and the historical hinting information is one of the key points of a multi-lever cache system. Through the hinting frequency, a hot data block can be identified effectively, the hot data block can be stored in the cache at a higher lever for a longer time, the data block hit rate in the system is increased, and the average response time is reduced; according to the multi-lever cache method based on the historical upgrading and downgrading frequency, a traditional LRU stack is divided into two special queues, so that the hinting information has locality, mixing of the hot data block and a cool data block is avoided, and the use of band width between the caches in all levers; the hot data block is identified effectively, the hot data block can be stored in the cache at the higher lever for a long time through an algorithm, the downgrading and upgrading operation of the caches in all levers is reduced, and the band width consumption between the caches is reduced further; the space consumption is small, and basis is provided for a better read-write property of the system under different loads.
Owner:SHANGHAI JIAO TONG UNIV

Demoscopy focus automatic segmentation method

The invention relates to a demoscopy focus automatic segmentation method in a medical image processing technology. The method includes the following steps: detection and extraction of a focus area; preliminary segmentation of a focus area and a background area in an image and extraction of the shape, position and contour of the focus area; segmentation of a mobile contour model; and construction of an initial curve of the mobile contour model according to the contour of the focus area and establishment of a corresponding energy functional. According to a level set method and a curve evolution theory, a curve capable of meeting minimum of the energy functional is obtained through partial-differential solution and the focus area is segmented automatically from the image. The method performs automatic detection and segmentation on the focus area according to the difference of the demoscopy focus area and the surrounding area; the method is accurate and high in efficiency in focus segmentation, great in practicality, dispensed with manual interruption and capable of assisting dermatology doctors to perform more accurate focus analysis and diagnosis.
Owner:SHANXI UNIV

A fluid-solid coupling high-precision numerical simulation method based on continuous medium mechanics

ActiveCN109902376AAccurately Predict Fluid-Structure Interaction ProcessesReduce dissipationSpecial data processing applicationsShock (mechanics)Engineering
The invention provides a fluid-solid coupling high-precision numerical simulation method based on continuous medium mechanics, and belongs to the technical field of fluid-solid coupling numerical simulation. The implementation method is as follows: based on an intrinsic non-oscillation (WENO) finite difference method, a joint algorithm coupled with a Level-Set method and a real virtual fluid method (RGFM), high-precision numerical simulation of fluid-solid coupling of continuous medium mechanics is realized. The WENO finite difference format can realize high-precision spatial discretization byselecting spatial template lattice points, so that the calculation precision is ensured, and the dissipation of shock waves is remarkably reduced; the Level-Set method can be used for effectively processing the complex topological structure change of the multi-substance interface; The RGFM method can effectively restrain the problem of non-physical oscillation generated by the interaction of shock waves and a material interface. The method can improve the prediction accuracy of the fluid-solid coupling process, and further solves the related engineering technical problems in the fluid-solid coupling field. The fluid-solid coupling field comprises the fields of high-speed penetration weapons, protection equipment, aerospace and mechanical engineering.
Owner:BEIJING INSTITUTE OF TECHNOLOGYGY

Multiscale level set image segmenting method based on kernel fuzzy clustering

The invention discloses a multiscale level set image segmenting method based on kernel fuzzy clustering. The method includes step 1 adopting a divide marking method to calculate the gray average of small areas; 2 adopting the gray average to initialize a membership matrix, conducting kernel fuzzy clustering to obtain the initial contour of the interested area; 3 designing an edge constraint stop item of the multiscale level set; 4 conducting iteration evolution to segment an image. The method overcomes the shortcoming that over-segmenting is easy to cause for the divide based on edge information, and edge segmenting missing is easy to cause for the C-V model level set method based on area information for the images with unclear edges and poor contrast. The edge information and the area information are effectively blended by adopting the kernel fuzzy clustering method, the multiscale edge constraint stop item is added, the re-initialization is eliminated, the segmenting accuracy is improved, and the real-time performance of the algorithm is ensured.
Owner:DALIAN NATIONALITIES UNIVERSITY

Breast tumor partition method based on nuclear magnetic resonance images

The invention discloses a breast tumor partition method. The breast tumor partition method includes the steps of building a coupled framework of classifications and biased field correcting of breast tissue nuclear magnetic resonance images, enhancing the breast areas and the peripheral areas, and partitioning the breast tumor images in cooperation with the shape prior. By means of the breast tumor partition method, biased field information is fused into classification models, the biased field information and the classification models are combined to be the unified framework, and the classifications and a corrected biased field of the breast tumor nuclear magnetic resonance images are solved with the fast energy minimization method at the same time, and use information of each other in the model evolution process for finally achieving accurate solving of the classifications and the corrected biased field; the shapes of blood vessels and tumors are analyzed, differences of the blood vessels and the tumors in shape are caught, the shape prior is built through parameters such as the characteristic values and the characteristic vectors, and the level set driving force based on the shapes is built and combined with a level set method based on local information, so that a level set overcomes the interference of a tubular structure during evolution and only captures the breast tumor area.
Owner:SHENZHEN BASDA MEDICAL APP

Three-dimensional simulation method for chemical vapor deposition process

InactiveCN102521886AAvoid blindnessSolve the single composition materialImage data processingMulti materialOmega
The invention relates to a three-dimensional simulation method for a chemical vapor deposition process, belonging to the field of deposition process simulation in micro-electronic processing. The method comprises the steps of: representing material distribution of each position in a simulation region omega by using a cell method (CM) and subdividing the deposition graph surface into a plurality of triangular planes; realizing a transport process of quickly tracking deposition particles by using a Monte Carlo (MC) method in combination with a spatial oct-tree non-uniform subdivision technology, calculating to obtain the triangular planes of the deposition graph surface, and calculating in combination with a deposition model corresponding to current position material and the area of the triangular plane and the like to obtain the deposition velocity of each triangular plane of the deposition graph surface, wherein the blindness of the calculation of the deposition velocity is avoided; and according to the calculation result, obtaining the deposition velocity, and realizing accurate tracking of the deposition surface motion in the chemical vapor deposition (CVD) process by using a level set (LS) method. According to the method, various vapor deposition processes such as low-pressure chemical vapor deposition, plasma enhancement chemical vapor deposition, chemical vapor deposition under atmospheric pressure and the like can be simulated, and deposition simulation of complicated deposition graph composed of a plurality of materials is realized.
Owner:TSINGHUA UNIV

Method for predicting traffic flow extracted by improved C-V model-based remote sensing image road network

The invention discloses a method for predicting traffic flow extracted by an improved C-V model-based remote sensing image road network, which comprises the following steps of: (1) preprocessing an original remote sensing image; (2) selecting a seed point and segmenting a first road network sub-image; (3) extracting a road network area by an improved C-V model-based level set method; (4) extracting a road network central line by a morphological thinning method; (5) segmenting a next road network sub-image by using a sub-image position decision rule and automatically acquiring a road network initial curve in the road network sub-images by a threshold segmentation and morphological method; (6) vectorizing a road network; and (7) predicting the traffic flow. By integrating technology such as remote sensing, geographic information system (GIS), image identification, traffic planning and the like, an urban road network can be more accurately, efficiently and cheaply updated in real time, the traffic flow prediction cost is lower, the traffic flow prediction accuracy is higher and the traffic flow prediction period is shorter, so that decision makers can be effectively assisted in making traffic planning decisions.
Owner:ZHEJIANG UNIV

Local Gamma fitting-based active contour SAR image segmentation method

InactiveCN102024260AEnhanced inhibitory effectNo complex speckle preprocessing requiredImage analysisEnergy minimizationSynthetic aperture radar
The invention discloses a local Gamma fitting-based active contour synthetic aperture radar (SAR) image segmentation method. The SAR image segmentation precision is low in the prior art. The method comprises the following steps of: representing the local structure of each pixel in an original SAR image in a certain neighborhood, regarding a maximum likelihood as a regional separation criterion, and defining a local fitting energy term; then integrating all pixel points in the defined region to acquire an overall optimized energy functional; and finally, describing and solving an energy minimization process by adopting a curve evolution theory and level set method-based geometrical active contour model so as to realize effective segmentation of the SAR image. The method has strong speckle noise inhibiting capability, can realize effective segmentation of the SAR image, and particularly has accurate segmentation effect on complex boundaries such as deep indentation and the like.
Owner:ZHEJIANG GONGSHANG UNIVERSITY

Self-noise test system and level test method for ship sonar platform

The invention discloses a self-noise test system and level test method for a ship sonar platform and belongs to the field of underwater noise control engineering. According to the invention, three signal source generators are controlled through a computer to generate excitation signals, and so the three signal source generators generate simulated hydrodynamic noise, simulated mechanical noise andsimulated propeller noise. Then data is collected and analyzed through a signal acquisition and recording end. A sonar platform self-noise test under a single noise resource effect can be carried out,a platform self-noise test under the effects of multiple noise resources at the same time can be implemented, test data in a whole wide frequency band can be obtained at a time, tests in different frequency bands are avoided, the work efficiency is improved, and the self-noise characteristics of a sonar chamber under various working conditions are more realistically simulated, and the establishment of a self-noise test system for the ship sonar platform is achieved.
Owner:HARBIN ENG UNIV
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