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The Fusion of Temporal Sequence with Scene Priori Information in Deep Learning Object Recognition
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作者 Yongkang Cao Fengjun Liu +2 位作者 Xian Wang Wenyun Wang Zhaoxin Peng 《Open Journal of Applied Sciences》 2024年第9期2610-2627,共18页
For some important object recognition applications such as intelligent robots and unmanned driving, images are collected on a consecutive basis and associated among themselves, besides, the scenes have steady prior fe... For some important object recognition applications such as intelligent robots and unmanned driving, images are collected on a consecutive basis and associated among themselves, besides, the scenes have steady prior features. Yet existing technologies do not take full advantage of this information. In order to take object recognition further than existing algorithms in the above application, an object recognition method that fuses temporal sequence with scene priori information is proposed. This method first employs YOLOv3 as the basic algorithm to recognize objects in single-frame images, then the DeepSort algorithm to establish association among potential objects recognized in images of different moments, and finally the confidence fusion method and temporal boundary processing method designed herein to fuse, at the decision level, temporal sequence information with scene priori information. Experiments using public datasets and self-built industrial scene datasets show that due to the expansion of information sources, the quality of single-frame images has less impact on the recognition results, whereby the object recognition is greatly improved. It is presented herein as a widely applicable framework for the fusion of information under multiple classes. All the object recognition algorithms that output object class, location information and recognition confidence at the same time can be integrated into this information fusion framework to improve performance. 展开更多
关键词 Computer Vison Object Recognition Deep Learning Consecutive scene Information Fusion
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Analyzing the Impact of Scene Transitions on Indoor Camera Localization through Scene Change Detection in Real-Time
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作者 Muhammad S.Alam Farhan B.Mohamed +2 位作者 Ali Selamat Faruk Ahmed AKM B.Hossain 《Intelligent Automation & Soft Computing》 2024年第3期417-436,共20页
Real-time indoor camera localization is a significant problem in indoor robot navigation and surveillance systems.The scene can change during the image sequence and plays a vital role in the localization performance o... Real-time indoor camera localization is a significant problem in indoor robot navigation and surveillance systems.The scene can change during the image sequence and plays a vital role in the localization performance of robotic applications in terms of accuracy and speed.This research proposed a real-time indoor camera localization system based on a recurrent neural network that detects scene change during the image sequence.An annotated image dataset trains the proposed system and predicts the camera pose in real-time.The system mainly improved the localization performance of indoor cameras by more accurately predicting the camera pose.It also recognizes the scene changes during the sequence and evaluates the effects of these changes.This system achieved high accuracy and real-time performance.The scene change detection process was performed using visual rhythm and the proposed recurrent deep architecture,which performed camera pose prediction and scene change impact evaluation.Overall,this study proposed a novel real-time localization system for indoor cameras that detects scene changes and shows how they affect localization performance. 展开更多
关键词 Camera pose estimation indoor camera localization real-time localization scene change detection simultaneous localization and mapping(SLAM)
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A Survey of Crime Scene Investigation Image Retrieval Using Deep Learning
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作者 Ying Liu Aodong Zhou +1 位作者 Jize Xue Zhijie Xu 《Journal of Beijing Institute of Technology》 EI CAS 2024年第4期271-286,共16页
Crime scene investigation(CSI)image is key evidence carrier during criminal investiga-tion,in which CSI image retrieval can assist the public police to obtain criminal clues.Moreover,with the rapid development of deep... Crime scene investigation(CSI)image is key evidence carrier during criminal investiga-tion,in which CSI image retrieval can assist the public police to obtain criminal clues.Moreover,with the rapid development of deep learning,data-driven paradigm has become the mainstreammethod of CSI image feature extraction and representation,and in this process,datasets provideeffective support for CSI retrieval performance.However,there is a lack of systematic research onCSI image retrieval methods and datasets.Therefore,we present an overview of the existing worksabout one-class and multi-class CSI image retrieval based on deep learning.According to theresearch,based on their technical functionalities and implementation methods,CSI image retrievalis roughly classified into five categories:feature representation,metric learning,generative adversar-ial networks,autoencoder networks and attention networks.Furthermore,We analyzed the remain-ing challenges and discussed future work directions in this field. 展开更多
关键词 crime scene investigation(CSI)image image retrieval deep learning
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Intelligent Sensing and Control of Road Construction Robot Scenes Based on Road Construction
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作者 Zhongping Chen Weigong Zhang 《Structural Durability & Health Monitoring》 EI 2024年第2期111-124,共14页
Automatic control technology is the basis of road robot improvement,according to the characteristics of construction equipment and functions,the research will be input type perception from positioning acquisition,real... Automatic control technology is the basis of road robot improvement,according to the characteristics of construction equipment and functions,the research will be input type perception from positioning acquisition,real-world monitoring,the process will use RTK-GNSS positional perception technology,by projecting the left side of the earth from Gauss-Krueger projection method,and then carry out the Cartesian conversion based on the characteristics of drawing;steering control system is the core of the electric drive unmanned module,on the basis of the analysis of the composition of the steering system of unmanned engineering vehicles,the steering system key components such as direction,torque sensor,drive motor and other models are established,the joint simulation model of unmanned engineering vehicles is established,the steering controller is designed using the PID method,the simulation results show that the control method can meet the construction path demand for automatic steering.The path planning will first formulate the construction area with preset values and realize the steering angle correction during driving by PID algorithm,and never realize the construction-based path planning,and the results show that the method can control the straight path within the error of 10 cm and the curve error within 20 cm.With the collaboration of various modules,the automatic construction simulation results of this robot show that the design path and control method is effective. 展开更多
关键词 scene perception remote control technology cartesian coordinate system construction robot highway construction
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Optimized CUDA Implementation to Improve the Performance of Bundle Adjustment Algorithm on GPUs
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作者 Pranay R. Kommera Suresh S. Muknahallipatna John E. McInroy 《Journal of Software Engineering and Applications》 2024年第4期172-201,共30页
The 3D reconstruction pipeline uses the Bundle Adjustment algorithm to refine the camera and point parameters. The Bundle Adjustment algorithm is a compute-intensive algorithm, and many researchers have improved its p... The 3D reconstruction pipeline uses the Bundle Adjustment algorithm to refine the camera and point parameters. The Bundle Adjustment algorithm is a compute-intensive algorithm, and many researchers have improved its performance by implementing the algorithm on GPUs. In the previous research work, “Improving Accuracy and Computational Burden of Bundle Adjustment Algorithm using GPUs,” the authors demonstrated first the Bundle Adjustment algorithmic performance improvement by reducing the mean square error using an additional radial distorting parameter and explicitly computed analytical derivatives and reducing the computational burden of the Bundle Adjustment algorithm using GPUs. The naïve implementation of the CUDA code, a speedup of 10× for the largest dataset of 13,678 cameras, 4,455,747 points, and 28,975,571 projections was achieved. In this paper, we present the optimization of the Bundle Adjustment algorithm CUDA code on GPUs to achieve higher speedup. We propose a new data memory layout for the parameters in the Bundle Adjustment algorithm, resulting in contiguous memory access. We demonstrate that it improves the memory throughput on the GPUs, thereby improving the overall performance. We also demonstrate an increase in the computational throughput of the algorithm by optimizing the CUDA kernels to utilize the GPU resources effectively. A comparative performance study of explicitly computing an algorithm parameter versus using the Jacobians instead is presented. In the previous work, the Bundle Adjustment algorithm failed to converge for certain datasets due to several block matrices of the cameras in the augmented normal equation, resulting in rank-deficient matrices. In this work, we identify the cameras that cause rank-deficient matrices and preprocess the datasets to ensure the convergence of the BA algorithm. Our optimized CUDA implementation achieves convergence of the Bundle Adjustment algorithm in around 22 seconds for the largest dataset compared to 654 seconds for the sequential implementation, resulting in a speedup of 30×. Our optimized CUDA implementation presented in this paper has achieved a 3× speedup for the largest dataset compared to the previous naïve CUDA implementation. 展开更多
关键词 scene Reconstruction Bundle Adjustment LEVENBERG-MARQUARDT Non-Linear Least Squares Memory Throughput Computational Throughput Contiguous Memory Access CUDA Optimization
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Study on Recognition Method of Similar Weather Scenes in Terminal Area
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作者 Ligang Yuan Jiazhi Jin +2 位作者 Yan Xu Ningning Zhang Bing Zhang 《Computer Systems Science & Engineering》 SCIE EI 2023年第2期1171-1185,共15页
Weather is a key factor affecting the control of air traffic.Accurate recognition and classification of similar weather scenes in the terminal area is helpful for rapid decision-making in air trafficflow management.Curren... Weather is a key factor affecting the control of air traffic.Accurate recognition and classification of similar weather scenes in the terminal area is helpful for rapid decision-making in air trafficflow management.Current researches mostly use traditional machine learning methods to extract features of weather scenes,and clustering algorithms to divide similar scenes.Inspired by the excellent performance of deep learning in image recognition,this paper proposes a terminal area similar weather scene classification method based on improved deep convolution embedded clustering(IDCEC),which uses the com-bination of the encoding layer and the decoding layer to reduce the dimensionality of the weather image,retaining useful information to the greatest extent,and then uses the combination of the pre-trained encoding layer and the clustering layer to train the clustering model of the similar scenes in the terminal area.Finally,term-inal area of Guangzhou Airport is selected as the research object,the method pro-posed in this article is used to classify historical weather data in similar scenes,and the performance is compared with other state-of-the-art methods.The experi-mental results show that the proposed IDCEC method can identify similar scenes more accurately based on the spatial distribution characteristics and severity of weather;at the same time,compared with the actualflight volume in the Guangz-hou terminal area,IDCEC's recognition results of similar weather scenes are con-sistent with the recognition of experts in thefield. 展开更多
关键词 Air traffic terminal area similar scenes deep embedding clustering
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Development Strategy of Urban Cultural Scene to Promote the Upgrading of Regional Cultural Consumption in Shaanxi
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作者 WANG Mengdie 《Journal of Landscape Research》 2023年第3期71-74,共4页
Regional cultural patterns and characteristics play a positive role in economic and social development.By planning and constructing cultural amenities and creating cultural scenes,the spatial quality and quality of li... Regional cultural patterns and characteristics play a positive role in economic and social development.By planning and constructing cultural amenities and creating cultural scenes,the spatial quality and quality of life in a region can be enhanced,facilitating the expansion of cultural consumption.Shaanxi,with its rich historical and cultural resources,positions the capital city of Xi’an as a“world historical city”,boasting a vast number of cultural amenities represented by“cultural facilities”,“cultural activities”,“cultural experiences”,and“cultural services”.The development of urban cultural scene,with the aim of promoting the upgrading of regional cultural consumption in Shaanxi,requires comprehensive planning and a multifaceted approach,particularly in integrating provincial cultural scenes,clarifying the positioning of cultural scenes,innovating cultural scene experience projects,creating cultural scene intellectual property(IP),and empowering cultural scenes through the application of science and technology. 展开更多
关键词 Cultural consumption Urban cultural scene Economic and social development Development strategy
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Scene 3-D Reconstruction System in Scattering Medium
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作者 Zhuoyifan Zhang Lu Zhang +1 位作者 LiangWang Haoming Wu 《Computers, Materials & Continua》 SCIE EI 2024年第8期3405-3420,共16页
Research on neural radiance fields for novel view synthesis has experienced explosive growth with the development of new models and extensions.The NeRF(Neural Radiance Fields)algorithm,suitable for underwater scenes o... Research on neural radiance fields for novel view synthesis has experienced explosive growth with the development of new models and extensions.The NeRF(Neural Radiance Fields)algorithm,suitable for underwater scenes or scattering media,is also evolving.Existing underwater 3D reconstruction systems still face challenges such as long training times and low rendering efficiency.This paper proposes an improved underwater 3D reconstruction system to achieve rapid and high-quality 3D reconstruction.First,we enhance underwater videos captured by a monocular camera to correct the image quality degradation caused by the physical properties of the water medium and ensure consistency in enhancement across frames.Then,we perform keyframe selection to optimize resource usage and reduce the impact of dynamic objects on the reconstruction results.After pose estimation using COLMAP,the selected keyframes undergo 3D reconstruction using neural radiance fields(NeRF)based on multi-resolution hash encoding for model construction and rendering.In terms of image enhancement,our method has been optimized in certain scenarios,demonstrating effectiveness in image enhancement and better continuity between consecutive frames of the same data.In terms of 3D reconstruction,our method achieved a peak signal-to-noise ratio(PSNR)of 18.40 dB and a structural similarity(SSIM)of 0.6677,indicating a good balance between operational efficiency and reconstruction quality. 展开更多
关键词 Underwater scene reconstruction image enhancement NeRF
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RWNeRF:Robust Watermarking Scheme for Neural Radiance Fields Based on Invertible Neural Networks
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作者 Wenquan Sun Jia Liu +2 位作者 Weina Dong Lifeng Chen Fuqiang Di 《Computers, Materials & Continua》 SCIE EI 2024年第9期4065-4083,共19页
As neural radiance fields continue to advance in 3D content representation,the copyright issues surrounding 3D models oriented towards implicit representation become increasingly pressing.In response to this challenge... As neural radiance fields continue to advance in 3D content representation,the copyright issues surrounding 3D models oriented towards implicit representation become increasingly pressing.In response to this challenge,this paper treats the embedding and extraction of neural radiance field watermarks as inverse problems of image transformations and proposes a scheme for protecting neural radiance field copyrights using invertible neural network watermarking.Leveraging 2D image watermarking technology for 3D scene protection,the scheme embeds watermarks within the training images of neural radiance fields through the forward process in invertible neural networks and extracts them from images rendered by neural radiance fields through the reverse process,thereby ensuring copyright protection for both the neural radiance fields and associated 3D scenes.However,challenges such as information loss during rendering processes and deliberate tampering necessitate the design of an image quality enhancement module to increase the scheme’s robustness.This module restores distorted images through neural network processing before watermark extraction.Additionally,embedding watermarks in each training image enables watermark information extraction from multiple viewpoints.Our proposed watermarking method achieves a PSNR(Peak Signal-to-Noise Ratio)value exceeding 37 dB for images containing watermarks and 22 dB for recovered watermarked images,as evaluated on the Lego,Hotdog,and Chair datasets,respectively.These results demonstrate the efficacy of our scheme in enhancing copyright protection. 展开更多
关键词 Neural radiance fields 3D scene ROBUST watermarking invertible neural networks
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Towards complex scenes: A deep learning-based camouflaged people detection method for snapshot multispectral images
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作者 Shu Wang Dawei Zeng +3 位作者 Yixuan Xu Gonghan Yang Feng Huang Liqiong Chen 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2024年第4期269-281,共13页
Camouflaged people are extremely expert in actively concealing themselves by effectively utilizing cover and the surrounding environment. Despite advancements in optical detection capabilities through imaging systems,... Camouflaged people are extremely expert in actively concealing themselves by effectively utilizing cover and the surrounding environment. Despite advancements in optical detection capabilities through imaging systems, including spectral, polarization, and infrared technologies, there is still a lack of effective real-time method for accurately detecting small-size and high-efficient camouflaged people in complex real-world scenes. Here, this study proposes a snapshot multispectral image-based camouflaged detection model, multispectral YOLO(MS-YOLO), which utilizes the SPD-Conv and Sim AM modules to effectively represent targets and suppress background interference by exploiting the spatial-spectral target information. Besides, the study constructs the first real-shot multispectral camouflaged people dataset(MSCPD), which encompasses diverse scenes, target scales, and attitudes. To minimize information redundancy, MS-YOLO selects an optimal subset of 12 bands with strong feature representation and minimal inter-band correlation as input. Through experiments on the MSCPD, MS-YOLO achieves a mean Average Precision of 94.31% and real-time detection at 65 frames per second, which confirms the effectiveness and efficiency of our method in detecting camouflaged people in various typical desert and forest scenes. Our approach offers valuable support to improve the perception capabilities of unmanned aerial vehicles in detecting enemy forces and rescuing personnel in battlefield. 展开更多
关键词 Camouflaged people detection Snapshot multispectral imaging Optimal band selection MS-YOLO Complex remote sensing scenes
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Estimation of Daily Global Solar Radiation with Different Sunshine-Based Models for Some Burundian Stations
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作者 Mathias Bashahu Gratien Ndacayisaba 《Energy and Power Engineering》 2024年第1期1-20,共20页
Sunshine duration (S) based empirical equations have been employed in this study to estimate the daily global solar radiation on a horizontal surface (G) for six meteorological stations in Burundi. Those equations inc... Sunshine duration (S) based empirical equations have been employed in this study to estimate the daily global solar radiation on a horizontal surface (G) for six meteorological stations in Burundi. Those equations include the Ångström-Prescott linear model and four amongst its derivatives, i.e. logarithmic, exponential, power and quadratic functions. Monthly mean values of daily global solar radiation and sunshine duration data for a period of 20 to 23 years, from the Geographical Institute of Burundi (IGEBU), have been used. For any of the six stations, ten single or double linear regressions have been developed from the above-said five functions, to relate in terms of monthly mean values, the daily clearness index () to each of the next two kinds of relative sunshine duration (RSD): and . In those ratios, G<sub>0</sub>, S<sub>0 </sub>and stand for the extraterrestrial daily solar radiation on a horizontal surface, the day length and the modified day length taking into account the natural site’s horizon, respectively. According to the calculated mean values of the clearness index and the RSD, each station experiences a high number of fairly clear (or partially cloudy) days. Estimated values of the dependent variable (y) in each developed linear regression, have been compared to measured values in terms of the coefficients of correlation (R) and of determination (R<sub>2</sub>), the mean bias error (MBE), the root mean square error (RMSE) and the t-statistics. Mean values of these statistical indicators have been used to rank, according to decreasing performance level, firstly the ten developed equations per station on account of the overall six stations, secondly the six stations on account of the overall ten equations. Nevertheless, the obtained values of those indicators lay in the next ranges for all the developed sixty equations:;;;, with . These results lead to assert that any of the sixty developed linear regressions (and thus equations in terms of and ), fits very adequately measured data, and should be used to estimate monthly average daily global solar radiation with sunshine duration for the relevant station. It is also found that using as RSD, is slightly more advantageous than using for estimating the monthly average daily clearness index, . Moreover, values of statistical indicators of this study match adequately data from other works on the same kinds of empirical equations. 展开更多
关键词 Clearness Index two kinds of Relative Sunshine Duration Ångström-Prescott Linear Model and Four Derivatives Statistical Tests Six Burundian Stations
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Convergence Phenomenon with Fourier Series of tg(x2)and Alike
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作者 Alfred Wünsche 《Advances in Pure Mathematics》 2024年第7期556-595,共40页
The Fourier series of the 2π-periodic functions tg(x2)and 1sin(x)and some of their relatives (first of their integrals) are investigated and illustrated with respect to their convergence. These functions are Generali... The Fourier series of the 2π-periodic functions tg(x2)and 1sin(x)and some of their relatives (first of their integrals) are investigated and illustrated with respect to their convergence. These functions are Generalized functions and the convergence is weak convergence in the sense of the convergence of continuous linear functionals defining them. The figures show that the approximations of the Fourier series possess oscillations around the function which they represent in a broad band embedding them. This is some analogue to the Gibbs phenomenon. A modification of Fourier series by expansion in powers cosn(x)for the symmetric part of functions and sin(x)cosn−1(x)for the antisymmetric part (analogous to Taylor series) is discussed and illustrated by examples. The Fourier series and their convergence behavior are illustrated also for some 2π-periodic delta-function-like sequences connected with the Poisson theorem showing non-vanishing oscillations around the singularities similar to the Gibbs phenomenon in the neighborhood of discontinuities of functions. . 展开更多
关键词 Gibbs Phenomenon Generalized Functions Weak Convergence Chebyshev Polynomials of First and Second Kind Even and Odd Generating Functions for Chebyshev Polynomials POLYLOGARITHMS Completeness Relations
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The Old Town of Lijiang
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作者 MENG JIAXIN 《China Today》 2024年第2期74-78,共5页
With a history of more than 800 years,Lijiang boasts picturesque sceneries,diverse cultures,and an abundance of well-preserved historical sites.THE old town of Lijiang,also known as the town of Dayan,is located in Guc... With a history of more than 800 years,Lijiang boasts picturesque sceneries,diverse cultures,and an abundance of well-preserved historical sites.THE old town of Lijiang,also known as the town of Dayan,is located in Gucheng District in Lijiang City,southwest China’s Yunnan Province.The current structures of the town can be traced back to the end of the Song Dynasty(960-1279)and the early era of the Yuan Dynasty(1271-1368). 展开更多
关键词 Province. SOUTHWEST scene
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Application of 3D Digital Modeling Technology in the Construction of Digital Cities
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作者 Xuke Wang 《Journal of Geographic Information System》 2023年第1期98-109,共12页
The concepts of “digital twins”, “3D real scene”, “metacosm” and others were the technical paths for building digital cities with the development of emerging surveying and mapping science and technology, which w... The concepts of “digital twins”, “3D real scene”, “metacosm” and others were the technical paths for building digital cities with the development of emerging surveying and mapping science and technology, which was to build a digital and virtualized city that matched the real physical world, to achieve a one-to-one correspondence between all elements of the physical world and the digital virtual world. And one of its basic geographic information data was a highly similar, virtual simulation of the 3D real scene. After exploring the traditional manual 3DsMax modeling, UAV low-altitude digital oblique photogrammetry modeling, airborne laser scanning modeling and other single modeling technologies, this paper discussed the 3D digital modeling technology used by the UAV airborne laser scanning point cloud and low-altitude digital oblique photogrammetry for complementary integration, constructing the 3D scene of the digital city. This paper expounded the technical route and production process of 3D digital modeling, in order to provide technical references for related projects. 展开更多
关键词 Airborne Laser Scanning Point Clouds Low-Altitude Oblique Photogrammetry Real scenes Digital City Digital Twins
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Analysis of the Writing Characteristics of the Title Music,Using“Scenes of Childhood”and“Children’s Garden”as Examples
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作者 LEI Shuwen 《Psychology Research》 2023年第6期276-278,共3页
In European thought and culture,there exists a group of passionate artists who are fascinated by the intention,passion,and richness of artistic expression.They strive to establish connections between different art for... In European thought and culture,there exists a group of passionate artists who are fascinated by the intention,passion,and richness of artistic expression.They strive to establish connections between different art forms.Musicians not only attempt to represent masterpieces through the language of music but also aim to convey subjective experiences of emotions and personal imagination to listeners by adding titles to their musical works.This study examines two pieces,“Scenes of Childhood”and“Children’s Garden”,and analyzes the different approaches employed by the composers in portraying similar content. 展开更多
关键词 scenes of childhood children’s corner title music
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The Research of the Relationship Between Yangming’s Yixue and His Xinxue
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作者 LIAO Yiming 《Cultural and Religious Studies》 2023年第4期174-182,共9页
Yangming’s Yixue had been developed several times in his life since originated in Longchang.Yangming’s Yixue and his Xinxue are both sides of the same corn.The Yangming’s Yixue can be roughly divided into two perio... Yangming’s Yixue had been developed several times in his life since originated in Longchang.Yangming’s Yixue and his Xinxue are both sides of the same corn.The Yangming’s Yixue can be roughly divided into two periods.There were the early and middle period of Yangming’s Yixue,which is intended to explain the principles of Yi Zhuan(《易传》)with the theory of Xinxue.The finish of Yangming’s Yixue was a second stage in Yangming’s later years.From the perspective of form and content,there are differences that cannot be ignored between Yangming’s early and middle period and his later years.In the first stage of Yangming’s study,the“Virtuousness”(贞)in Book of Changes is the principle and nature in university.In the later period,Yangming had not focused on interpreting the“Yi Zhuan”,but on the interpretation of ZhouYi’s(《周易》)principles to supplement the connotation of the propositions of Xinxue.This article intends to understand the relationship between Yangming’s Yixue and his Xinxue by dividing the different stages of Yangming’s Yixue firstly.Then by focusing on the influence of Yangming’s later years’Yixue on his Xinxue,we can observe the relation between his Yixue and Xinxue. 展开更多
关键词 Yangming’s Yixue Conscience is Yi nothing kind outside the mind the four-sentence teaching
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ON THE COEFFICIENTS OF DIFFERENTIATED EXPANSIONS AND DERIVATIVES OF CHEBYSHEV POLYNOMIALS OF THE THIRD AND FOURTH KINDS 被引量:3
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作者 Eid H.DOHA Waleed M.ABD-ELHAMEED Mahmoud A.BASSUONY 《Acta Mathematica Scientia》 SCIE CSCD 2015年第2期326-338,共13页
Two new analytical formulae expressing explicitly the derivatives of Chebyshev polynomials of the third and fourth kinds of any degree and of any order in terms of Chebyshev polynomials of the third and fourth kinds t... Two new analytical formulae expressing explicitly the derivatives of Chebyshev polynomials of the third and fourth kinds of any degree and of any order in terms of Chebyshev polynomials of the third and fourth kinds themselves are proved. Two other explicit formulae which express the third and fourth kinds Chebyshev expansion coefficients of a general-order derivative of an infinitely differentiable function in terms of their original expansion coefficients are also given. Two new reduction formulae for summing some terminating hypergeometric functions of unit argument are deduced. As an application of how to use Chebyshev polynomials of the third and fourth kinds for solving high-order boundary value problems, two spectral Galerkin numerical solutions of a special linear twelfth-order boundary value problem are given. 展开更多
关键词 Chebyshev polynomials of the third and fourth kinds expansion coefficients generalized hypergeometric functions boundary value problems
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Translation of the contrastive scenes and implication in River snow
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作者 孙琴青 欧丽慧 《Sino-US English Teaching》 2008年第1期76-80,共5页
This paper makes a brief analysis of the scenes and implication of the famous Ancient Chinese poem River snow. It makes a comparison and contrast of the five typical English versions from the perspective of the transl... This paper makes a brief analysis of the scenes and implication of the famous Ancient Chinese poem River snow. It makes a comparison and contrast of the five typical English versions from the perspective of the translation of its static and dynamic states. The paper also discusses the meaning of “du diao han jiang xue”, and how to better translate the key word “diao”. 展开更多
关键词 River snow scene static state dynamic state fish alone in the cold river-snow
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On the Opening Scene of HOn the Opening Scene of Hamlet and its Role in Theme Expression of the Play
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作者 倪菲菲 《海外英语》 2012年第16期182-183,共2页
Hamlet is a great example to demonstrate Shakespeare's superb skills in writing beginnings. The opening scene of Hamlet is an in tegral part of the play, which paves the way for and contributes a lot to the develo... Hamlet is a great example to demonstrate Shakespeare's superb skills in writing beginnings. The opening scene of Hamlet is an in tegral part of the play, which paves the way for and contributes a lot to the development of the two themes-death and revenge. This paper is to analyze how the opening scene is related to the whole play with regard to theme expression. 展开更多
关键词 HAMLET OPENING scene theME EXPRESSIon
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Three-Dimensional Scene Encryption Algorithm Based on Phase Iteration Algorithm of the Angular-Spectral Domain
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作者 Chao Han Yuzhen Shen 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2020年第4期1074-1080,共7页
In order to increase the capacity of encrypted information and reduce the loss of information transmission, a three-dimensional(3 D) scene encryption algorithm based on the phase iteration of the angular spectrum doma... In order to increase the capacity of encrypted information and reduce the loss of information transmission, a three-dimensional(3 D) scene encryption algorithm based on the phase iteration of the angular spectrum domain is proposed in this paper. The algorithm, which adopts the layer-oriented method, generates the computer generated hologram by encoding the three-dimensional scene. Then the computer generated hologram is encoded into three pure phase functions by adopting the phase iterative algorithm based on angular spectrum domain,and the encryption process is completed. The three-dimensional scene encryption can improve the capacity of the information,and the three-phase iterative algorithm can guarantee the security of the encryption information. The numerical simulation results show that the algorithm proposed in this paper realized the encryption and decryption of three-dimensional scenes. At the same time, it can ensure the safety of the encrypted information and increase the capacity of the encrypted information. 展开更多
关键词 Angular spectrum diffraction information capacity phase iteration three-dimensional scene encryption
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