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Deformation warning of surrounding rock mass of underground powerhouse based on octree theory and microseismic monitoring
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作者 Linlu Dong Nuwen Xu +5 位作者 Peng Li Huabo Xiao Yonghong Li Yuepeng Sun Biao Li Tieshuan Zhao 《Journal of Rock Mechanics and Geotechnical Engineering》 2026年第2期1160-1176,共17页
The effective early warning of surrounding rock mass deformation is crucial in geotechnical engineering for ensuring the safety and stability of underground constructions.This study introduces a novel risk early warni... The effective early warning of surrounding rock mass deformation is crucial in geotechnical engineering for ensuring the safety and stability of underground constructions.This study introduces a novel risk early warning model based on multi-parameter fuzzy comprehensive evaluation,which quantitatively assesses the risk state of the surrounding rock mass.The microseismic(MS)monitoring system is set up for the underground powerhouse.The spatial and temporal distribution of MS events and the frequency characteristics of MS signals are analyzed during the top arch excavation.The early warning indices for characterizing MS spatial aggregation and frequency-energy dispersion are proposed based on the octree theory to assess the deformation of the surrounding rock mass.The risk warning model for the surrounding rock mass in underground engineering is developed through the integration of the formulated index and the frequency characteristics of MS signals.The results indicate that the multiparameter fuzzy comprehensive assessment model can achieve three-dimensional visualization of risk warnings for the surrounding rock mass.The quantitative results regarding warning time and potential deformation areas are highly consistent with the characteristics of MS precursors.These research results can provide an important reference for early warning of surrounding rock mass risk in similar underground projects. 展开更多
关键词 Underground powerhouse octree theory Microseismic monitoring Early warning model
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Deep Learning Model for Identifying Internal Flaws Based on Image Quadtree SBFEM and Deep Neural Networks
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作者 Hanyu Tao Dongye Sun +1 位作者 Tao Fang Wenhu Zhao 《Computer Modeling in Engineering & Sciences》 2025年第10期521-536,共16页
Structural internal flaws often weaken the performance and integral stability,while traditional nondestructive testing or inversion methods face challenges of high cost and low efficiency in quantitative flaw identifi... Structural internal flaws often weaken the performance and integral stability,while traditional nondestructive testing or inversion methods face challenges of high cost and low efficiency in quantitative flaw identification.To quickly identify internal flaws within structures,a deep learning model for flaw detection is proposed based on the image quadtree scaled boundary finite element method(SBFEM)combined with a deep neural network(DNN).The training dataset is generated fromthe numerical simulations using the balanced quadtree algorithmand SBFEM,where the structural domain is discretized based on recursive decomposition principles andmesh refinement is automatically performed in the flaw boundary regions.The model contains only six types of elements and hanging nodes don’t affect the solution accuracy,resulting in a high degree of automation and significantly reducing the cost of the training dataset.The deep artificial neural network for flaw detection is constructed using DNN as the learning framework,effectively mitigating the risk of the objective function converging to local optima during training.Statistical methods are employed to evaluate the accuracy of the inversionmodel,and the influences of flaw size and the number of training samples on the performance are examined.In statistical results of single flaw,the 95%confidence intervals of the relative error for(x,y,r)are[2.16%,2.76%],[1.53%,1.96%]and[1.49%,1.91%],respectively.The 95%confidence interval of the comprehensive relative error for double flaws is[3.06%,3.62%].The results demonstrate that the predicted flaw parameters align closely with the reserved clean data,indicating that themodel can accurately quantify both the location and size of structural flaws. 展开更多
关键词 Flaw detection deep neural network image quadtree scaled boundary finite element method
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Database-oriented storage based on LMDB and linear octree for massive block model 被引量:6
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作者 毕林 赵辉 贾明涛 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2016年第9期2462-2468,共7页
Data organization requires high efficiency for large amount of data applied in the digital mine system. A new method of storing massive data of block model is proposed to meet the characteristics of the database, incl... Data organization requires high efficiency for large amount of data applied in the digital mine system. A new method of storing massive data of block model is proposed to meet the characteristics of the database, including ACID-compliant, concurrency support, data sharing, and efficient access. Each block model is organized by linear octree, stored in LMDB(lightning memory-mapped database). Geological attribute can be queried at any point of 3D space by comparison algorithm of location code and conversion algorithm from address code of geometry space to location code of storage. The performance and robustness of querying geological attribute at 3D spatial region are enhanced greatly by the transformation from 3D to 2D and the method of 2D grid scanning to screen the inner and outer points. Experimental results showed that this method can access the massive data of block model, meeting the database characteristics. The method with LMDB is at least 3 times faster than that with etree, especially when it is used to read. In addition, the larger the amount of data is processed, the more efficient the method would be. 展开更多
关键词 block model linear octree lightning memory-mapped database mass data access digital mine etree
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基于TIN-Octree的三维地质模型构建方法研究 被引量:12
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作者 尚福华 杨彦彬 杜睿山 《计算技术与自动化》 2019年第4期121-125,共5页
在三维地质模型中,不能有效的分析地层与断层之间的形态与结构,提出了基于TIN-Octree混合空间数据模型的精细三维地质体构建方法。分析两者的地质形态与连接状态,形成良好的数据映射剖面,并利用Octree的编码特性,增加对象的描述精度以... 在三维地质模型中,不能有效的分析地层与断层之间的形态与结构,提出了基于TIN-Octree混合空间数据模型的精细三维地质体构建方法。分析两者的地质形态与连接状态,形成良好的数据映射剖面,并利用Octree的编码特性,增加对象的描述精度以及存储性能,可以有效地为油气勘探开发提供可视化效果。并结合实际地质地震勘探解释成果资料的应用,表明该模型构建方法可以有效地建立地质体三维模型,具有良好的应用价值。 展开更多
关键词 不规则三角网(TIN) octree TIN-octree混合模型 三维建模
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基于Octree-SBFEM跨尺度模型的大型商用飞机撞击核电厂的精细化损伤演化分析 被引量:5
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作者 邹德高 隋翊 +2 位作者 陈楷 潘蓉 熊京川 《核动力工程》 EI CAS CSCD 北大核心 2019年第5期140-145,共6页
采用比例边界多面体有限元分析方法,结合八分树网格离散技术,开展了第三代核电厂在大型商用客机撞击下屏蔽厂房的损伤演化分析,讨论了基础效应、撞击区域形状选取和结构-地基相互作用的影响。结果表明:比例边界多面体有限元分析方法具... 采用比例边界多面体有限元分析方法,结合八分树网格离散技术,开展了第三代核电厂在大型商用客机撞击下屏蔽厂房的损伤演化分析,讨论了基础效应、撞击区域形状选取和结构-地基相互作用的影响。结果表明:比例边界多面体有限元分析方法具有极强的网格离散能力、单元质高量少,且对模型修改有极高的适应性,与传统方案相比,效率可提高几十倍;精细化模型更准确地模拟了损伤演化与渐进破坏过程;飞机撞击核岛分析中的基础效应及结构-地基相互作用(SSI效应)在非岩性地基时不可忽略。 展开更多
关键词 八分树 比例边界有限元 塑性损伤 AP1000 飞机撞击 结构-地基相互作用
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Efficient Quadtree based Fractal Image Coding Scheme in Wavelet Transform Domain *
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作者 高西奇 洪波 +1 位作者 张辉 何振亚 《Journal of Southeast University(English Edition)》 EI CAS 1998年第1期35-40,共6页
This paper presents an efficient quadtree based fractal image coding scheme in wavelet transform domain based on the wavelet based theory of fractal image compression introduced by Davis. In the scheme, zerotrees of... This paper presents an efficient quadtree based fractal image coding scheme in wavelet transform domain based on the wavelet based theory of fractal image compression introduced by Davis. In the scheme, zerotrees of wavelet coefficients are used to reduce the number of domain blocks, which leads to lower bit cost required to represent the location information of fractal coding, and overall entropy constrained optimization is performed for the decision trees as well as for the sets of scalar quantizers and self quantizers of wavelet subtrees. Experiment results show that at the low bit rates, the proposed scheme gives about 1 dB improvement in PSNR over the reported results. 展开更多
关键词 fractal image coding wavelet transform quadtree
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Volumetric extraction of porous materials based on octree algorithm
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作者 罗守华 李光 顾宁 《Journal of Southeast University(English Edition)》 EI CAS 2010年第4期537-540,共4页
Through the octree data structure analysis,a volumetric dataset of closed-cell porous materials is converted into a dataset of hierarchical octree nodes,and then the specific traversal search algorithm on the octree n... Through the octree data structure analysis,a volumetric dataset of closed-cell porous materials is converted into a dataset of hierarchical octree nodes,and then the specific traversal search algorithm on the octree nodes is depicted in details,which is involved in six steps of the volume growth model and one step of the volume decomposition model.Moreover,the conditions of both the proceeding traversal and three possibilities of terminating are given,and the traversal algorithm of completeness is proved from a theoretical perspective.Finally,using a simulated volumetric dataset of columnar pores,the extracting effectiveness of the octree traversal algorithm is verified.The results show that the volume and the distribution information of pores can be successfully extracted by the proposed algorithm,which builds a solid foundation for a more effective performance analysis of porous materials. 展开更多
关键词 octree closed-cell porous materials volume of pores traversal algorithm
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基于LSM-OCTree的时空流分布式调度和存储方案 被引量:4
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作者 李悦艺 张丰 +1 位作者 杜震洪 刘仁义 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2023年第2期204-212,共9页
时空流的高效管理要求顾及数据的时空相关性,支持时空流的高速插入、实时索引和低延迟时空范围查询,而现有的基于HBase等的存储方案,因索引更新开销过大,无法满足高效管理要求。针对时空流的应用特性,提出了一种面向时间分片的时空流分... 时空流的高效管理要求顾及数据的时空相关性,支持时空流的高速插入、实时索引和低延迟时空范围查询,而现有的基于HBase等的存储方案,因索引更新开销过大,无法满足高效管理要求。针对时空流的应用特性,提出了一种面向时间分片的时空流分布式调度和存储方法。利用时空流的紧耦合性进行数据划分与调度,以减少查询时数据复制的开销。将采用预分区方式构建的基于日志结构合并树的八叉树(octree based on the log-structured merge-tree,LSM-OCTree)索引作为存储结构,保证时空流的索引更新,实现索引的高效批量合并计算,提高查询性能。实验结果表明,时空动态调度策略优于通用的调度方法,LSM-OCTree索引的合并与更新性能优于常规索引结构。与HBase方案相比,基于LSM-OCTree的时空流分布式调度和存储方案的查询效率提升了20%以上。 展开更多
关键词 时空流 时空调度 LSM-octree 分布式存储
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Numerical simulation of wind-driven circulation and pollutant transport in Taihu Lake based on a quadtree grid 被引量:6
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作者 Xiao-dong Liu Ling-qi Li +4 位作者 Peng Wang Zu-lin Hua Li Gu Yuan-yuan Zhou Lu-ying Chen 《Water Science and Engineering》 EI CAS CSCD 2019年第2期108-114,共7页
In this study,a two-dimensional flow-pollutant coupled model was developed based on a quadtree grid.This model was established to allow the accurate simulation of wind-driven flow in a large-scale shallow lake with ir... In this study,a two-dimensional flow-pollutant coupled model was developed based on a quadtree grid.This model was established to allow the accurate simulation of wind-driven flow in a large-scale shallow lake with irregular natural boundaries when focusing on important smallscale localized flow features.The quadtree grid was created by domain decomposition.The governing equations were solved using the finite volume method,and the normal fluxes of mass,momentum,and pollutants across the interface between cells were computed by means of a Godunov-type Osher scheme.The model was employed to simulate wind-driven flow in a circular basin with non-uniform depth.The computed values were in agreement with analytical data.The results indicate that the quadtree grid has fine local resolution and high efficiency,and is convenient for local refinement.It is clear that the quadtree grid model is effective when applied to complex flow domains.Finally,the model was used to calculate the flow field and concentration field of Taihu Lake,demonstrating its ability to predict the flow and concentration fields in an actual water area with complex geometry. 展开更多
关键词 Numerical simulation WIND-DRIVEN CIRCULATION POLLUTANT transport quadtree GRID Shallow-flow hydrodynamics Taihu Lake
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Terrain Rendering LOD Algorithm Based on Improved Restrictive Quadtree Segmentation and Variation Coefficient of Elevation 被引量:2
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作者 Zhenwu Wang Xiaohua Lu 《Journal of Beijing Institute of Technology》 EI CAS 2018年第4期617-622,共6页
Aiming to deal with the difficult issues of terrain data model simplification and crack disposal,the paper proposed an improved level of detail(LOD)terrain rendering algorithm,in which a variation coefficient of eleva... Aiming to deal with the difficult issues of terrain data model simplification and crack disposal,the paper proposed an improved level of detail(LOD)terrain rendering algorithm,in which a variation coefficient of elevation is introduced to express the undulation of topography.Then the coefficient is used to construct a node evaluation function in the terrain data model simplification step.Furthermore,an edge reduction strategy is combined with the improved restrictive quadtree segmentation to handle the crack problem.The experiment results demonstrated that the proposed method can reduce the amount of rendering triangles and enhance the rendering speed on the premise of ensuring the rendering effect compared with a traditional LOD algorithm. 展开更多
关键词 terrain data model simplification crack disposal level of detail(LOD)terrain rendering algorithm variation coefficient of elevation node evaluation function restrictive quadtree segmentation
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Spatial Topology Rule Checking Algorithm of Linear Entity Based on Quadtree 被引量:1
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作者 Shunping ZHOU Shaohuai CHEN Bo WAN 《Journal of Geographic Information System》 2009年第1期1-4,共4页
Spatial topology rule is the primary method to insure the consistency and validity of spatial topology relation in GIS software. Topology rule can be divided into three categories according to geographic entity’s geo... Spatial topology rule is the primary method to insure the consistency and validity of spatial topology relation in GIS software. Topology rule can be divided into three categories according to geographic entity’s geometric shape: point topology rule, line topology rule and polygon topology rule. At first, this paper summarizes the various linear geographic entities’ topological relations which have practical application, then designs a series of linear entity topology rules detailedly. Based on these rules, this paper proposes a topology rule checking algorithm using quadtree, which is designed on the basis of MAPGIS7.4 spatial data model. The algorithm has already been applied to MAPGIS platform and gained good effects. 展开更多
关键词 LINEAR ENTITY TOPOLOGY RULE RULE CHECK quadtree
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Improved lazy theta algorithm based on octree map for path planning of UAV 被引量:2
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作者 Meng-shun Yuan Tong-le Zhou Mou Chen 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2023年第5期8-18,共11页
This paper investigates the path planning method of unmanned aerial vehicle(UAV)in threedimensional map.Firstly,in order to keep a safe distance between UAV and obstacles,the obstacle grid in the map is expanded.By us... This paper investigates the path planning method of unmanned aerial vehicle(UAV)in threedimensional map.Firstly,in order to keep a safe distance between UAV and obstacles,the obstacle grid in the map is expanded.By using the data structure of octree,the octree map is constructed,and the search nodes is significantly reduced.Then,the lazy theta*algorithm,including neighbor node search,line-of-sight algorithm and heuristics weight adjustment is improved.In the process of node search,UAV constraint conditions are considered to ensure the planned path is actually flyable.The redundant nodes are reduced by the line-of-sight algorithm through judging whether visible between two nodes.Heuristic weight adjustment strategy is employed to control the precision and speed of search.Finally,the simulation results show that the improved lazy theta*algorithm is suitable for path planning of UAV in complex environment with multi-constraints.The effectiveness and flight ability of the algorithm are verified by comparing experiments and real flight. 展开更多
关键词 Unmanned aerial vehicle Path planning Lazy theta*algorithm octree map Line-of-sight algorithm
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Framed-Quadtree Path Planning for an Underwater Vehicle with the Task of Tracking a Moving Target 被引量:1
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作者 高博 徐德民 严卫生 《Journal of Marine Science and Application》 2010年第1期27-33,共7页
An autonomous underwater vehicle (AUV) must use an algorithm to plan its path to distant, mobile offshore objects. Because of the uneven distribution of obstacles in the real world, the efficiency of the algorithm dec... An autonomous underwater vehicle (AUV) must use an algorithm to plan its path to distant, mobile offshore objects. Because of the uneven distribution of obstacles in the real world, the efficiency of the algorithm decreases if the global environment is represented by regular grids with all of them at the highest resolution. The framed quadtree data structure is able to more efficiently represent the environment. When planning the path, the dynamic object is expressed instead as several static objects which are used by the path planner to update the path. By taking account of the characteristics of the framed quadtree, objects can be projected on the frame nodes to increase the precision of the path. Analysis and simulations showed the proposed planner could increase efficiency while improving the ability of the AUV to follow an object. 展开更多
关键词 regular grid framed quadtree data structure algorithm efficiency
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3D Simulation of Flow with Free Surface Based on Adaptive Octree Mesh System 被引量:1
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作者 李绍武 庄茜 +1 位作者 黄筱云 王东 《Transactions of Tianjin University》 EI CAS 2015年第1期32-40,共9页
The technique of adaptive tree mesh is an effective way to reduce computational cost through automatic adjustment of cell size according to necessity. In the present study, the 2D numerical N-S solver based on the ada... The technique of adaptive tree mesh is an effective way to reduce computational cost through automatic adjustment of cell size according to necessity. In the present study, the 2D numerical N-S solver based on the adaptive quadtree mesh system was extended to a 3D one, in which a spatially adaptive oetree mesh system and multiple particle level set method were adopted for the convenience to deal with the air-water-structure multiple-medium coexisting domain. The stretching process of a dumbbell was simulated and the results indicate that the meshes are well adaptable to the free surface. The collapsing process of water column impinging a circle cylinder was simulated and from the results, it can be seen that the processes of fluid splitting and merging are properly simulated. The interaction of second-order Stokes waves with a square cylinder was simulated and the obtained drag force is consistent with the result by the Morison's wave force formula with the coefficient values of the stable drag component and the inertial force component bein~ set as 2.54. 展开更多
关键词 adaptive octree mesh 3D numerical flume spatially adaptive multiple particle level set
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Image Coding Using Wavelet Transform and EntropyConstrained Vector Quantization with Quadtree Structure Vectors
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作者 高西奇 何振亚 《Journal of Southeast University(English Edition)》 EI CAS 1996年第1期19-24,共6页
This paper presents a new wavelet transform image coding method. On the basis of a hierarchical wavelet decomposition of images, entropy constrained vector quantization is employed to encode the wavelet coefficients... This paper presents a new wavelet transform image coding method. On the basis of a hierarchical wavelet decomposition of images, entropy constrained vector quantization is employed to encode the wavelet coefficients at all the high frequency bands with 展开更多
关键词 WAVELET TRANSFORM ENTROPY constrained VECTOR QUANTIZATION quadtree structure VECTOR image coding
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An Efficient Representation of Quadtrees and Bintrees for Multiresolution Terrain Models
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作者 Yusnier Valle José Ortiz 《Geo-Spatial Information Science》 2011年第3期198-206,共9页
A space-filling curve in 2,3,or higher dimensions can be thought as a path of a continuously moving point.As its main goal is to preserve spatial proximity,this type of curves has been widely used in the design and im... A space-filling curve in 2,3,or higher dimensions can be thought as a path of a continuously moving point.As its main goal is to preserve spatial proximity,this type of curves has been widely used in the design and implementation of spatial data structures and nearest neighbor-finding techniques.This paper is essentially focused on the efficient representation of Digital Ele-vation Models(DEM) that entirely fit into the main memory.We propose a new hierarchical quadtree-like data structure to be built over domains of unrestricted size,and a representation of a quadtree and a binary triangles tree by means of the Hilbert and the Sierpinski space-filling curves,respectively,taking into account the hierarchical nature and the clustering properties of this kind of curves.Some triangulation schemes are described for the space-filling-curves-based approaches to efficiently visualize multiresolu-tion surfaces. 展开更多
关键词 bintrees quadtreeS space-filling curves spatial data structures digital terrain models
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Hybrid Finite Element Method Based on Polygon-Quadtree Meshes for Heat Transfer and Thermal Elastic Analysis
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作者 Lihui Wang Rui Zhang +1 位作者 Ran Guo Jiangbo Tao 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2023年第5期745-753,共9页
A steady-state thermal hybrid element model is proposed to calculate particle-reinforced composites divided by an improved quadtree mesh.The functional of hybrid flux finite element method(HF-FEM)is constructed using ... A steady-state thermal hybrid element model is proposed to calculate particle-reinforced composites divided by an improved quadtree mesh.The functional of hybrid flux finite element method(HF-FEM)is constructed using the weighted residual method.This functional independently assumes a heat flux field in the cell domain and a temperature field along cell boundaries.The construction of a universal heat flux function is put forward,which is approximated by a complete polynomial,and the temperature at the cell boundary is obtained by linear interpolation.Also,the hybrid stress finite element method(HS-FEM)is constructed to solve the thermal stress.In this paper,an improved quadtree grid that can accurately describe the shape of elliptical inclusions is built.By comparing several numerical examples with the traditional FEM,it is demonstrated that the hybrid element of the thermal analysis proposed in this paper is practical. 展开更多
关键词 Hybridflux method Hybrid thermal stress method Improved quadtree grid STEADY-STATE
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Development of a Three-Dimensional Multiscale Octree SBFEM for Viscoelastic Problems of Heterogeneous Materials
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作者 Xu Xu Xiaoteng Wang +2 位作者 Haitian Yang Zhenjun Yang Yiqian He 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第8期1831-1861,共31页
The multiscale method provides an effective approach for the numerical analysis of heterogeneous viscoelastic materials by reducing the degree of freedoms(DOFs).A basic framework of the Multiscale Scaled Boundary Fini... The multiscale method provides an effective approach for the numerical analysis of heterogeneous viscoelastic materials by reducing the degree of freedoms(DOFs).A basic framework of the Multiscale Scaled Boundary Finite Element Method(MsSBFEM)was presented in our previous works,but those works only addressed two-dimensional problems.In order to solve more realistic problems,a three-dimensional MsSBFEM is further developed in this article.In the proposed method,the octree SBFEM is used to deal with the three-dimensional calculation for numerical base functions to bridge small and large scales,the three-dimensional image-based analysis can be conveniently conducted in small-scale and coarse nodes can be flexibly adjusted to improve the computational accuracy.Besides,the Temporally Piecewise Adaptive Algorithm(TPAA)is used to maintain the computational accuracy of multiscale analysis by adaptive calculation in time domain.The results of numerical examples show that the proposed method can significantly reduce the DOFs for three-dimensional viscoelastic analysis with good accuracy.For instance,the DOFs can be reduced by 9021 times compared with Direct Numerical Simulation(DNS)with an average error of 1.87%in the third example,and it is very effective in dealing with three-dimensional complex microstructures directly based on images without any geometric modelling process. 展开更多
关键词 Three-dimensionalmultiscale viscoelastic analysis numerical base functions octree SBFEM image-based analysis temporally piecewise adaptive algorithm
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An Improved Method of Linear Encoding Representation-A Cell Linear Quadtree
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作者 He Yu Zhang Qianren Ye Yizheng Li Zhongrong (Department of Computer science) 《哈尔滨工业大学学报》 EI CAS CSCD 北大核心 1990年第3期28-31,共4页
The linear encoding of a quadtree is an efficient way to represent the quadtree. In this paper, an improved linear quadtree, a cell linear quadtree, is proposed, in which its redundant storage is eliminated and the co... The linear encoding of a quadtree is an efficient way to represent the quadtree. In this paper, an improved linear quadtree, a cell linear quadtree, is proposed, in which its redundant storage is eliminated and the concept of a cell is introduced. Therefore, it has higher storage efficiency than a conventional linear quadtree. 展开更多
关键词 分支树 图像处理 图像编码 层状数据结构 编码表达法
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IDENTIFICATION OF 3-D OBJECTS FROM THREE ORTHOGONAL SILHOUETTES USING NORMALIZED LINEAR QUAD-OCTREES
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作者 张田文 李仲荣 《Journal of Electronics(China)》 1991年第1期52-59,共8页
Linear octrees offer a volume representation of 3-D objects, which is quite compactand lends itself to traditional object processing operations. However, the linear octree structurefor generating the representation of... Linear octrees offer a volume representation of 3-D objects, which is quite compactand lends itself to traditional object processing operations. However, the linear octree structurefor generating the representation of 3-D objects from three orthogonal silhouettes by using thevolume intersection technique is dependent on viewpoints. The recognition achieved from match-ing object representations to model representations requires that the representations of objectsare independent of viewpoints. In order to obtain independent representations of viewpoints,the three principal axes of the object should be obtained from the moment of inertia matrix bycomputing its eigenvectors. The linear octree is projected onto the image planes of the three prin-cipal views (along the principal axes) to obtain the three normalized linear quadtrees. The objectmatching procedure has two phases: the first phase is to match the normalized linear quadtrees ofthe unknown object to a subset of models contained in a library utilizing a measure of symmetricdifference; the second phase is to generate the normalized linear octrees of the object and theseselected models and then to match the normalized linear octree of the unknown object with themodel having the minimum symmetric difference. 展开更多
关键词 Normalized LINEAR quad-octree THREE ORTHOGONAL SILHOUETTES Principal axes Object matching Symmetric difference
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