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Effect of Scattered Solar Radiation on the Informativeness of Polarization Lidar Studies of High-Level Clouds
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作者 Ignatii Samokhvalov Ilia Bryukhanov +5 位作者 Ivan Akimov Olesia Kuchinskaia Maxim Penzin Denis Romanov Evgeny Ni Ivan Zhivotenyuk 《Journal of Environmental & Earth Sciences》 2025年第6期148-156,共9页
During daylight laser polarization sensing of high-level clouds(HLCs),the lidar receiving system generates a signal caused by not only backscattered laser radiation,but also scattered solar radiation,the intensity and... During daylight laser polarization sensing of high-level clouds(HLCs),the lidar receiving system generates a signal caused by not only backscattered laser radiation,but also scattered solar radiation,the intensity and polarization of which depends on the Sun’s location.If a cloud contains spatially oriented ice particles,then it becomes anisotropic,that is,the coefficients of directional light scattering of such a cloud depend on the Sun’s zenith and azimuth angles.In this work,the possibility of using the effect of anisotropic scattering of solar radiation on the predictive ability of machine learning algorithms in solving the problem of predicting the HLC backscattering phase matrix(BSPM)was evaluated.The hypothesis that solar radiation scattered on HLCs has no effect on the BSPM elements of such clouds determined with a polarization lidar was tested.The operation of two algorithms for predicting the BSPM elements is evaluated.To train the first one,meteorological data were used as input parameters;for the second algorithm,the azi-muthal and zenith angles of the Sun’s position were added to the meteorological parameters.It is shown that there is no significant improvement in the predictive ability of the algorithm. 展开更多
关键词 High-Level Clouds(HLCs) Polarization Lidar Backscattering Phase Matrix(BSPM) Sun’s Azimuthal and Zenith Angles scattered Solar Radiation Cloud Microphysics Machine Learning(ML) Random Forest
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Computing the Far-Field Scattered by a Spherical Target Near the Seabed
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作者 Natalie S.Grigorieva Fiodor F.Legusha Kirill S.Safronov 《哈尔滨工程大学学报(英文版)》 2025年第5期1019-1026,共8页
This study proposes a numerically efficient technique for computing the far-field scattered by a spherical target placed near the seabed.The bottom is supposed to be a homogeneous liquid attenuating half-space.The tra... This study proposes a numerically efficient technique for computing the far-field scattered by a spherical target placed near the seabed.The bottom is supposed to be a homogeneous liquid attenuating half-space.The transmitter and receiver are situated at different points of a homogeneous water half-space.The distances between the transmitter,receiver,and object of interest are assumed to be much larger than the acoustic wavelength in water.The scattered far-field is ascertained using Hackman and Sammelmann’s general approach.The arising scattering coefficients of a sphere are assessed using the steepest descent approach.The branch cut contribution is also considered.The obtained formulas for the form-function can be used for acoustically rigid or soft scatterers,as well as elastic targets or spherical elastic shells.Numerical simulations are conducted for an acoustically rigid sphere.Asymptotic expressions for the scattering coefficients allow a decrease in the number of summands in the formula for the target strength and a significant reduction in computational time. 展开更多
关键词 Scattering of acoustic waves Spherical scatterer Attenuating liquid bottom Later wave Target strength
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Response characteristics of shear waves scattered by fractures with borehole observation system
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作者 Peng Liu Hua-Jun Fan +4 位作者 Meng-Sheng Zhang Zhen Li Jing-Wei Jiang Yuan Gao Ke-Wen Wang 《Petroleum Science》 2025年第5期1912-1928,共17页
Fractures play a crucial role in various fields such as hydrocarbon exploration,groundwater resources management,and earthquake research.The determination of fracture location and the estimation of parameters such as ... Fractures play a crucial role in various fields such as hydrocarbon exploration,groundwater resources management,and earthquake research.The determination of fracture location and the estimation of parameters such as fracture length and dip angle are the focus of geophysical work.In borehole observation system,the short distance between fractures and detectors leads to weak attenuation of elastic wave energy,and high-frequency source makes it easier to identify small-scale fractures.Compared to traditional monopole logging methods,dipole logging method has advantage of exciting pure shear waves sensitive to fractures,so its application is becoming increasingly widespread.However,since the reflected shear waves and scattered shear waves of fractures correspond to different fracture properties,how to distinguish and analyze these two kinds of waves is crucial for accurately characterizing the fracture parameters.To address this issue,numerical simulation of wave responses by a single fracture near a borehole in rock formation is performed,and the generation mechanism and characteristics of shear waves scattered by fractures are investigated.It is found that when the dip angle of the fracture surpasses a critical threshold,the S-wave will propagate to both endpoints of the fracture and generate scattered S-waves,resulting in two distinct scattered wave packets on the received waveform.When the polarization direction of the acoustic source is parallel to the strike of the fracture,the scattered SH-waves always have larger amplitude than the scattered SV-waves regardless of changing the fracture dip angle.Unlike SV-waves,the SH-waves scattered by the fracture do not have any mode conversion.Additionally,propagation of S-waves to a short length fracture can induce dipole mode vibration of the fracture within a wide frequency range.The phenomena of shear waves reflected and scattered by the fracture are further illustrated and verified by two field examples,thus showing the potential of scattered waves for fracture evaluation and characterization with borehole observation system. 展开更多
关键词 Numerical modeling Wave scattering Shear wave FRACTURES Borehole observation system
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A Deep Learning Method to Process Scattered Field Data in Biomedical Imaging System
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作者 Jing Wang Naike Du Xiuzhu Ye 《Journal of Beijing Institute of Technology》 EI CAS 2024年第3期213-218,共6页
This paper proposed a deep-learning-based method to process the scattered field data of transmitting antenna,which is unmeasurable in inverse scattering system because the transmitting and receiving antennas are multi... This paper proposed a deep-learning-based method to process the scattered field data of transmitting antenna,which is unmeasurable in inverse scattering system because the transmitting and receiving antennas are multiplexed.A U-net convolutional neural network(CNN)is used to recover the scattered field data of each transmitting antenna.The numerical results proved that the proposed method can complete the scattered field data at the transmitting antenna which is unable to measure in the actual experiment and can also eliminate the reconstructed error caused by the loss of scattered field data. 展开更多
关键词 inverse problem scattered field deep learning
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Reduction of distortion and improvement of efficiency for gridding of scattered gravity and magnetic data 被引量:1
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作者 张晨 姚长利 +3 位作者 谢永茂 郑元满 关胡良 洪东明 《Applied Geophysics》 SCIE CSCD 2012年第4期378-390,494,共14页
This paper presents a reasonable gridding-parameters extraction method for setting the optimal interpolation nodes in the gridding of scattered observed data. The method can extract optimized gridding parameters based... This paper presents a reasonable gridding-parameters extraction method for setting the optimal interpolation nodes in the gridding of scattered observed data. The method can extract optimized gridding parameters based on the distribution of features in raw data. Modeling analysis proves that distortion caused by gridding can be greatly reduced when using such parameters. We also present some improved technical measures that use human- machine interaction and multi-thread parallel technology to solve inadequacies in traditional gridding software. On the basis of these methods, we have developed software that can be used to grid scattered data using a graphic interface. Finally, a comparison of different gridding parameters on field magnetic data from Ji Lin Province, North China demonstrates the superiority of the proposed method in eliminating the distortions and enhancing gridding efficiency. 展开更多
关键词 scattered data gridding parameters analysis of distribution features human-machine interaction multi-thread parallel technology
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Numerical simulation scattered imaging in deep mines 被引量:1
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作者 胡明顺 潘冬明 李娟娟 《Applied Geophysics》 SCIE CSCD 2010年第3期272-282,294,共12页
Conventional seismic exploration,mostly based on reflection theory,hardly has accurate imaging results for disaster geologic bodies which have small scale,steep dip,or complex structure.In this paper,we design two typ... Conventional seismic exploration,mostly based on reflection theory,hardly has accurate imaging results for disaster geologic bodies which have small scale,steep dip,or complex structure.In this paper,we design two typical geologic models for analyzing the characteristics of scattered waves in mines for forward modeling by finite difference and apply the equivalent offset migration(EOM)and EOM-based interference stack migration methods to mine prospecting.We focus on the analysis of scatted imaging’s technological superiority to reflection imaging.Research shows:1)scattered imaging can improve fold and make the best of weak scattered information,so it shows better results than post-stack migration imaging and 2)it can utilize the diffraction stack migration method-based ray path theory for mine seismic advanced prediction,so it provides an new efficient imaging method for improving resolution of mine seismic exploration. 展开更多
关键词 MINE seismic exploration scattered wave seismic imaging numerical simulation
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Ultrasonic Scattered Field Distribution of One and Two Cylindrical Solids with Phased Array Technique 被引量:4
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作者 Xiaozhou Liu Jian Ma +3 位作者 Haibin Wang Sha Gao Yifeng Li Jiehui Liu 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2019年第6期101-112,共12页
The scattered fields of plane waves in a solid from a cylinder or sphere are critical in determining its acoustic characteristics as well as in engineering applications. This paper investigates the scattered field dis... The scattered fields of plane waves in a solid from a cylinder or sphere are critical in determining its acoustic characteristics as well as in engineering applications. This paper investigates the scattered field distributions of different incident waves created by elastic cylinders embedded in an elastic isotropic medium. Scattered waves, including longitudinal and transverse waves both inside and outside the cylinder, are described with specific modalities under an incident plane wave. A model with a scatterer embedded in a structural steel matrix and filled with aluminum is developed for comparison with the theoretical solution. The frequency of the plane wave ranged from 235 kHz to 2348 kHz, which corresponds to scaling factors from 0.5 to 5. Scattered field distributions in matrix materials blocked by an elastic cylindrical solid have been obtained by simulation or calculated using existing parameters. The simulation results are in good agreement with the theoretical solution, which supports the correctness of the simulation analysis. Furthermore, ultrasonic phased arrays are used to study scattered fields by changing the characteristics of the incident wave. On this foundation, a partial preliminary study of the scattered field distribution of double cylinders in a solid has been carried out, and the scattered field distribution at a given distance has been found to exhibit particular behaviors at different moments. Further studies on directivities and scattered fields are expected to improve the quantification of scattered images in isotropic solid materials by the phased array technique. 展开更多
关键词 Ultrasonic phased array scattered field distribution DIRECTIVITY Quantification of scattered image
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Intestinal disease of scattered mirror carp Cyprinus carpio caused by Thelohanellus kitauei and notes on the morphology and phylogeny of the myxosporean from Sichuan Province,southwest China 被引量:4
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作者 叶灵通 卢明淼 +5 位作者 权可艳 李文祥 邹红 吴山功 王江勇 王桂堂 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2017年第3期587-596,共10页
The mass mortality of pond-reared scattered mirror carp, Cyprinus carpio, caused by Thelohanellus kitauei, occurred at fish farms in Sichuan Province, southwest China. Morphological and molecular analyses were supplem... The mass mortality of pond-reared scattered mirror carp, Cyprinus carpio, caused by Thelohanellus kitauei, occurred at fish farms in Sichuan Province, southwest China. Morphological and molecular analyses were supplemented with histological evaluation of infected tissues to better understand the route of infection and the pathological effects of 1". kitauei on the fish host. The intestine of the diseased host was full of large cysts of the myxosporean. The cysts range from 2 cm to 3.6 cm in diameter. Histopathology indicated that T. kitauei first invaded the submucosa of the host intestine and then moved into the mucosa layers with the development of their spores, finally entering into the enteric cavity of the hosts after the disruption of mucosa layers. The pyriform spores of T. kitauei were surrounded by the transparent spore sheath, measuring 25.98/μm±0.95 μm in body length, 8.72 μm±0.51μm body width, and 7.86 μm±0.26 μm in body thickness. The single polar capsule was pyriform, measuring 14.73 μm±0.92μm in length and 6.82 μm±0.45μm in width, with eight to 10 turns of filament coils winding inside. Phylogenetic analysis based on the 18S small-subunit ribosomal DNA sequences indicated that minimal genetic differences were present between T. kitauei samples from South Korea and from China. Close affinity was found between the genus Thelohanellus and Myxobolus. Additionally, two polar capsule nuclei were found at the anterior end of the single polar capsule in spores of T. kitauei stained with hematoxylin and eosin, which suggested the separation of the genus Thelohanellus from Myxobolus. 展开更多
关键词 intestinal disease scattered mirror carp Thelohanellus kitauei host-specific tropism MORPHOLOGY PHYLOGENY
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Energy Filtering and Coaxial Detection of the Backscattered Electrons in Scanning Electron Microscope 被引量:5
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作者 JIANG Chang-Zhong P.Morin N.Rosenberg 《Chinese Physics Letters》 SCIE CAS CSCD 2000年第9期637-639,共3页
A new detection system in scanning electron microscope,which filters in energy and detects the backscattered electrons close to the microscope axis,is described.This technique ameliorates the dependence of the back.sc... A new detection system in scanning electron microscope,which filters in energy and detects the backscattered electrons close to the microscope axis,is described.This technique ameliorates the dependence of the back.scat tering coefficient on atomic number,and suppresses effectively the relief contrast at the same time.Therefore this new method is very suitable to the composition analysis. 展开更多
关键词 ELECTRON scattered SYSTEM
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Scattered Rural Settlements and Development of Mountainous Regions in Western Sichuan,China 被引量:3
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作者 GAO Yanjun CHEN Guojie SHEN Maoying 《Wuhan University Journal of Natural Sciences》 CAS 2007年第4期737-742,共6页
Making rural settlements of Mountainous Regions in Western Sichuan as the study objects and using symbolic statistical methods, then combining the case study of Daofu County, the paper analyzes the negative impact of ... Making rural settlements of Mountainous Regions in Western Sichuan as the study objects and using symbolic statistical methods, then combining the case study of Daofu County, the paper analyzes the negative impact of the scattered rural settlements on infrastructure construction, farmers' income increase and mountain ecological reconstruction in mountainous regions of western Sichuan. The results indicate that economic density is positively related to both rural settlements density (R^2=0.73) and rural population density (R^2=0.77), and it is the same for relationship between towns density and rural settlements density (R^2=0.88) and between towns density and economic density (R^2=0.71), and the scattered distribution pattern of the rural settlements and shortage of economic centers is a major factor to the lagged socioeconomic development. On the eco-economic zoning to Daofu County, the paper indicates the spatial distribution model and the industrial development model of the rural settlements need to be changed, and rural population should be concentrated in larger rural settlements with development of off-farm industries while infrastructure construction is to reinforced. 展开更多
关键词 mountainous regions in western Sichuan rural settlement scattered distribution DEVELOPMENT
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HERMITE—BIRKHOFF INTERPOLATION OF SCATTERED DATA BY RADIAL BASIS FUNCTIONS 被引量:7
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作者 吴宗敏 《Analysis in Theory and Applications》 1992年第2期1-10,共10页
For Hermite-Birkhoff interpolation of scattered multidumensional data by radial basis function (?),existence and characterization theorems and a variational principle are proved. Examples include (?)(r)=r^b,Duchon'... For Hermite-Birkhoff interpolation of scattered multidumensional data by radial basis function (?),existence and characterization theorems and a variational principle are proved. Examples include (?)(r)=r^b,Duchon's thin-plate splines,Hardy's multiquadrics,and inverse multiquadrics. 展开更多
关键词 HERMITE BIRKHOFF INTERPOLATION OF scattered DATA BY RADIAL BASIS FUNCTIONS
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Analysis of the polarization characteristics of scattered light of underwater suspended particles based on Mie theory 被引量:3
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作者 CHENG Qian WANG Ying-min ZHANG Ying-luo 《Optoelectronics Letters》 EI 2021年第4期252-256,共5页
Aiming at the problem of underwater polarized laser scattering caused by underwater suspended particles, the equivalent spherical particle Mie scattering theory simulation method is used to study the polarization char... Aiming at the problem of underwater polarized laser scattering caused by underwater suspended particles, the equivalent spherical particle Mie scattering theory simulation method is used to study the polarization characteristics of underwater scattered light. The relationship between underwater suspended particle characteristics and optical characteristics is analyzed, and the effects of particle size, polarization characteristics of incident light, and angle of incidence on the degree of polarization of forward and backward scattering light are studied. The results show that: When the incident light is natural light, the degree of polarization of scattered light is very low at the forward-scattering angle, which increases with the increase of the scattering angle, but changes frequently with the increase of the particle size. When the incident light is linearly polarized, the degree of linear polarization of the scattered light is related to the azimuth Angle. The degree of circular polarization is largely unaffected by particle size. 展开更多
关键词 UNDERWATER scattered POLARIZED
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Genetic Algorithm for Scattered Storage Assignment in Kiva Mobile Fulfillment System 被引量:8
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作者 Mengcheng Guan Zhenping Li 《American Journal of Operations Research》 2018年第6期474-485,共12页
Scattered storage means an item can be stored in multiple inventory bins. The scattered storage assignment problem based on association rules in Kiva mobile fulfillment system is investigated, which aims to decide the... Scattered storage means an item can be stored in multiple inventory bins. The scattered storage assignment problem based on association rules in Kiva mobile fulfillment system is investigated, which aims to decide the pods for each item to put on so as to minimize the number of pods to be moved when picking a batch of orders. This problem is formulated into an integer programming model. A genetic algorithm is developed to solve the large-sized problems. Computational experiments and comparison between the scattered storage strategy and random storage strategy are conducted to evaluate the performance of the model and algorithm. 展开更多
关键词 scattered Storage ASSIGNMENT KIVA MOBILE Fulfillment SYSTEM Association Rules GENETIC Algorithm
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Recursive Schemes for Scattered Data Interpolation via Bivariate Continued Fractions 被引量:2
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作者 Jiang QIAN Fan WANG +1 位作者 Zhuojia FU Yunbiao WU 《Journal of Mathematical Research with Applications》 CSCD 2016年第5期583-607,共25页
In the paper, firstly, based on new non-tensor-product-typed partially inverse divided differences algorithms in a recursive form, scattered data interpolating schemes are constructed via bivariate continued fractions... In the paper, firstly, based on new non-tensor-product-typed partially inverse divided differences algorithms in a recursive form, scattered data interpolating schemes are constructed via bivariate continued fractions with odd and even nodes, respectively. And equivalent identities are also obtained between interpolated functions and bivariate continued fractions. Secondly, by means of three-term recurrence relations for continued fractions, the characterization theorem is presented to study on the degrees of the numerators and denominators of the interpolating continued fractions. Thirdly, some numerical examples show it feasible for the novel recursive schemes. Meanwhile, compared with the degrees of the numera- tors and denominators of bivariate Thiele-typed interpolating continued fractions, those of the new bivariate interpolating continued fractions are much low, respectively, due to the reduc- tion of redundant interpolating nodes. Finally, the operation count for the rational function interpolation is smaller than that for radial basis function interpolation. 展开更多
关键词 scattered data interpolation bivariate continued fraction three-term recurrencerelation characterization theorem radial basis function
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A new deep-reading look-ahead method in electromagnetic loggingwhile-drilling using the scattered electric field from magnetic dipole antennas 被引量:1
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作者 Lei Wang Shao-Gui Deng +3 位作者 Guan-Bao Xie Shan-Jun Li Zhen-Guan Wu Yi-Ren Fan 《Petroleum Science》 SCIE CAS CSCD 2022年第1期180-188,共9页
This paper presents a new deep-reading logging-while-drilling electromagnetic(EM)logging method to detect bed boundaries ahead of bit.Unlike all existing EM logging approaches,the new method is based on the scattered ... This paper presents a new deep-reading logging-while-drilling electromagnetic(EM)logging method to detect bed boundaries ahead of bit.Unlike all existing EM logging approaches,the new method is based on the scattered electric field radiated by a magnetic dipole antenna.By analyzing the characteristics of electric tensor responses in layered formations,optimal look-ahead electric component is selected.The selected scattered field contributes to a large portion of the total field and is strongly sensitive to the boundary position.The measured voltage from the scattered electric component can be tens of times larger than that from the scattered magnetic fields and it attenuates slower.Thus,the detection capability improves significantly.A coaxial open-loop half-circle antenna is then proposed to measure the electric field in logging while drilling environment.A practical tool implementation equipped with two tilted close-loop antennas and two open-loop antennas is further developed for look-ahead application.Numerical results demonstrate that the detection depth of the new look-ahead tool can be up to 40 m under favorable conditions.Compared with current look-ahead logging tools,the new method not only significantly shortens the tool size,but also can recognize the boundary position and azimuth. 展开更多
关键词 Electromagnetic logging-while-drilling LOOK-AHEAD Deep reading scattered electric field Short spacing
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Surface Reconstruction of 3D Scattered Data with Radial Basis Functions 被引量:1
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作者 Du XIN-WEI YANG XIAO-YING LIANG XUE-ZHANG 《Communications in Mathematical Research》 CSCD 2010年第2期183-192,共10页
We use Radial Basis Functions (RBFs) to reconstruct smooth surfaces from 3D scattered data. An object's surface is defined implicitly as the zero set of an RBF fitted to the given surface data. We propose improveme... We use Radial Basis Functions (RBFs) to reconstruct smooth surfaces from 3D scattered data. An object's surface is defined implicitly as the zero set of an RBF fitted to the given surface data. We propose improvements on the methods of surface reconstruction with radial basis functions. A sparse approximation set of scattered data is constructed by reducing the number of interpolating points on the surface. We present an adaptive method for finding the off-surface normal points. The order of the equation decreases greatly as the number of the off-surface constraints reduces gradually. Experimental results are provided to illustrate that the proposed method is robust and may draw beautiful graphics. 展开更多
关键词 radial basis function scattered data implicit surface surface reconstruction
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Investigation on a Typical Scattered Lightning Strike Case and Response Measures 被引量:1
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作者 Wei Li Guiqiong Zhao Ping Wang 《Meteorological and Environmental Research》 CAS 2013年第7期8-9,14,共3页
From July 31 to August I in 2008, a strong thunderstorm process occurred in Neijiang of Sichuan Province, and a strange scattered light- ning strike phenomenon happened in office building of Dongxing Meteorological Bu... From July 31 to August I in 2008, a strong thunderstorm process occurred in Neijiang of Sichuan Province, and a strange scattered light- ning strike phenomenon happened in office building of Dongxing Meteorological Bureau in Neijiang. Through a series of investigations and analyses, we found occurrence reason of the scattered lightning strike and improved lightning protection measures. 展开更多
关键词 scattered lightning strike High elevated lightning rod Preventive measures China
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Mesh Generation from Dense 3D Scattered Data Using Neural Network 被引量:8
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作者 ZHANGWei JIANGXian-feng +1 位作者 CHENLi-neng MAYa-liang 《Computer Aided Drafting,Design and Manufacturing》 2004年第1期30-35,共6页
An improved self-organizing feature map (SOFM) neural network is presented to generate rectangular and hexagonal lattic with normal vector attached to each vertex. After the neural network was trained, the whole scatt... An improved self-organizing feature map (SOFM) neural network is presented to generate rectangular and hexagonal lattic with normal vector attached to each vertex. After the neural network was trained, the whole scattered data were divided into sub-regions where classified core were represented by the weight vectors of neurons at the output layer of neural network. The weight vectors of the neurons were used to approximate the dense 3-D scattered points, so the dense scattered points could be reduced to a reasonable scale, while the topological feature of the whole scattered points were remained. 展开更多
关键词 reverse engineering mesh generation neural network scattered points data extraction
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Scattered light imaging beyond the memory effect using the dynamic properties of thick turbid media 被引量:2
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作者 Yuyang Shui Ting Wang +3 位作者 Jianying Zhou Xin Luo Yikun Liu Haowen Liang 《Advanced Photonics Nexus》 2023年第2期125-132,共8页
Scattered light imaging through complex turbid media has significant applications in biomedical and optical research.For the past decade,various approaches have been proposed for rapidly reconstructing fullcolor,depth... Scattered light imaging through complex turbid media has significant applications in biomedical and optical research.For the past decade,various approaches have been proposed for rapidly reconstructing fullcolor,depth-extended images by introducing point spread functions(PSFs).However,because most of these methods consider memory effects(MEs),the PSFs have angular shift invariance over certain ranges of angles.This assumption is valid for only thin turbid media and hinders broader applications of these technologies in thick media.Furthermore,the time-variant characteristics of scattering media determine that the PSF acquisition and image reconstruction times must be less than the speckle decorrelation time,which is usually difficult to achieve.We demonstrate that image reconstruction methods can be applied to timevariant thick turbid media.Using the time-variant characteristics,the PSFs in dynamic turbid media within certain time intervals are recorded,and ergodic scattering regimes are achieved and combined as ensemble point spread functions(ePSFs).The ePSF traverses shift-invariant regions in the turbid media and retrieves objects beyond the ME.Furthermore,our theory and experimental results verify that our approach is applicable to thick turbid media with thickness of 1 cm at visible incident wavelengths. 展开更多
关键词 scattered light imaging memory effect thick turbid media image reconstruction
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Large Scattered Data Fitting Based on Radial Basis Functions 被引量:2
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作者 FENG Ren-zhong XU Liang 《Computer Aided Drafting,Design and Manufacturing》 2007年第1期66-72,共7页
Solving large radial basis function (RBF) interpolation problem with non-customized methods is computationally expensive and the matrices that occur are typically badly conditioned. In order to avoid these difficult... Solving large radial basis function (RBF) interpolation problem with non-customized methods is computationally expensive and the matrices that occur are typically badly conditioned. In order to avoid these difficulties, we present a fitting based on radial basis functions satisfying side conditions by least squares, although compared with interpolation the method loses some accuracy, it reduces the computational cost largely. Since the fitting accuracy and the non-singularity of coefficient matrix in normal equation are relevant to the uniformity of chosen centers of the fitted RBE we present a choice method of uniform centers. Numerical results confirm the fitting efficiency. 展开更多
关键词 scattered data radial basis functions interpolation least squares fitting uniform centers
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