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Complex coordinate rotation method based on gradient optimization
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作者 Zhi-Da Bai Zhen-Xiang Zhong +1 位作者 Zong-Chao Yan Ting-Yun Shi 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第2期257-261,共5页
In atomic,molecular,and nuclear physics,the method of complex coordinate rotation is a widely used theoretical tool for studying resonant states.Here,we propose a novel implementation of this method based on the gradi... In atomic,molecular,and nuclear physics,the method of complex coordinate rotation is a widely used theoretical tool for studying resonant states.Here,we propose a novel implementation of this method based on the gradient optimization(CCR-GO).The main strength of the CCR-GO method is that it does not require manual adjustment of optimization parameters in the wave function;instead,a mathematically well-defined optimization path can be followed.Our method is proven to be very efficient in searching resonant positions and widths over a variety of few-body atomic systems,and can significantly improve the accuracy of the results.As a special case,the CCR-GO method is equally capable of dealing with bound-state problems with high accuracy,which is traditionally achieved through the usual extreme conditions of energy itself. 展开更多
关键词 complex coordinate rotation method resonant state metastable state gradient optimization
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Effects of Coordinate Rotation on Turbulent Flux Measurements during Wintertime Haze Pollution in Beijing, China
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作者 GUO Xiao-Feng 《Atmospheric and Oceanic Science Letters》 CSCD 2015年第2期67-71,共5页
Eddy-covariance observations from the Beijing 325-m meteorological tower are used to evaluate the effects of coordinate rotation on the turbulent exchange of momentum and scalars during wintertime haze pollution(Janua... Eddy-covariance observations from the Beijing 325-m meteorological tower are used to evaluate the effects of coordinate rotation on the turbulent exchange of momentum and scalars during wintertime haze pollution(January-February 2013). Two techniques are used in the present evaluation; namely, the natural wind coordinate(NWC) and the planar fit coordinate(PFC), with the latter being applied by means of two methods for linear regression(i.e., overall and sector-wise). The different techniques show a general agreement in both turbulent fluxes and transport efficiencies, especially evident at the lower, 140-m level above the ground(compared to the higher, 280-m level), perhaps implying that the selection of a technique for coordinate rotation(NWC or PFC) is less of a concern for a sufficiently low level, despite the complexities of urban terrain. Additionally, sector-wise regression is a recommended approach for practical application of the PFC in a complex urban environment subjected to particulate pollution, because this method is found to produce a better correlation between the mean vertical velocity at the 140- and 280-m heights. 展开更多
关键词 coordinate rotation eddy-covariance method particulate air pollution turbulent exchange urban environment
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Research on Open-circuit Fault Tolerant Control of Six-phase Permanent Magnet Synchronous Machine Based on Fifth Harmonic Current Injection 被引量:3
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作者 Zhifeng Zhang Yue Wu +1 位作者 Hequn Su Quanzeng Sun 《CES Transactions on Electrical Machines and Systems》 CSCD 2022年第3期306-314,共9页
This paper proposes a novel control approach for fault-tolerant control of dual three-phase permanent magnet synchronous motor(PMSM) under one-phase open-circuit fault.A modified six-phase static coordinate transforma... This paper proposes a novel control approach for fault-tolerant control of dual three-phase permanent magnet synchronous motor(PMSM) under one-phase open-circuit fault.A modified six-phase static coordinate transformation matrix and an extended rotating coordinate transformation matrix are investigated considering the influence of the fifth harmonic space on fault-tolerant control. These mathematical models are further analyzed in the fundamental space and the fifth harmonic space after the fault and to eliminate the coupling between the d-q axis voltage equation in the fundamental wave space and the d-q axis voltage equation in the fifth harmonic space, a secondary rotation coordinate transformation matrix is proposed. To achieve the purpose of reducing torque ripple, the fault-tolerant control method proposed in this paper not only takes the minimum copper loss as the constraint condition, but also injects the fifth harmonic current. The experimental result of current and torque is used to verify the accuracy of fault-tolerant control. 展开更多
关键词 Extended rotating coordinate transformation matrix Fault-tolerant control Fifth harmonic current injection Modified six-phase static coordinate transformation matrix Dual three-phase permanent magnet synchronous motor Torque ripple
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Numerical Investigation of Submarine Hydrodynamics and Flow Field in Steady Turn 被引量:4
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作者 曹留帅 朱军 万文彬 《China Ocean Engineering》 SCIE EI CSCD 2016年第1期57-68,共12页
This paper presents numerical simulations of viscous flow past a submarine model in steady turn by solving the Reynolds-Averaged Navier-Stokes Equations(RANSE) for incompressible, steady flows. The rotating coordina... This paper presents numerical simulations of viscous flow past a submarine model in steady turn by solving the Reynolds-Averaged Navier-Stokes Equations(RANSE) for incompressible, steady flows. The rotating coordinate system was adopted to deal with the rotation problem. The Coriolis force and centrifugal force due to the computation in a bodyfixed rotating frame of reference were treated explicitly and added to momentum equations as source terms. Furthermore, velocities of entrances were coded to give the correct magnitude and direction needed. Two turbulence closure models(TCMs), the RNG k-ε model with wall functions and curvature correction and the Shear Stress Transport(SST) k-ω model without the use of wall functions, but with curvature correction and low-Re correction were introduced, respectively. Take DARPA SUBOFF model as the test case, a series of drift angle varying between 0° and 16° at a Reynolds number of 6.53×10^6 undergoing rotating arm test simulations were conducted. The computed forces and moment as a function of drift angle during the steady turn are mostly in close agreement with available experimental data. Though the difference between the pressure coefficients around the hull form was observed, they always show the same trend. It was demonstrated that using sufficiently fine grids and advanced turbulence models will lead to accurate prediction of the flow field as well as the forces and moments on the hull. 展开更多
关键词 submarine hydrodynamics flow field rotating coordinate system Coriolis and centrifugal force
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Theoretical study of micro-optical structure fabrication based on sample rotation and two-laser-beam interference 被引量:1
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作者 陈宜臻 王向贤 +2 位作者 王茹 杨华 祁云平 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第5期148-152,共5页
A method for fabricating a micro-optical structure based on sample rotation and two-laser-beam interference is proposed. The rotation process is analyzed using the coordinate transformation in matrix presentation and ... A method for fabricating a micro-optical structure based on sample rotation and two-laser-beam interference is proposed. The rotation process is analyzed using the coordinate transformation in matrix presentation and the theoretical expressions of the optical field distributions corresponding to different sample rotations. By rotating the samples and changing the laser wavelength, various special micro-optical structures can be obtained, such as equally spaced concentric rings and irregular trapezoidal lattices; these structures are demonstrated by simulating the corresponding optical field distributions. The proposed approach may be developed into a low-cost laser interference lithography technology for the fabrication of various micro-optical structures. 展开更多
关键词 rotation fabrication lithography fabricating rotating coordinate presentation hexagonal coherent grating
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New scale factor correction scheme for CORDIC algorithm 被引量:1
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作者 戴志生 张萌 +1 位作者 高星 汤佳健 《Journal of Southeast University(English Edition)》 EI CAS 2009年第3期313-315,共3页
To overcome the drawbacks such as irregular circuit construction and low system throughput that exist in conventional methods, a new factor correction scheme for coordinate rotation digital computer( CORDIC) algorit... To overcome the drawbacks such as irregular circuit construction and low system throughput that exist in conventional methods, a new factor correction scheme for coordinate rotation digital computer( CORDIC) algorithm is proposed. Based on the relationship between the iteration formulae, a new iteration formula is introduced, which leads the correction operation to be several simple shifting and adding operations. As one key part, the effects caused by rounding error are analyzed mathematically and it is concluded that the effects can be degraded by an appropriate selection of coefficients in the iteration formula. The model is then set up in Matlab and coded in Verilog HDL language. The proposed algorithm is also synthesized and verified in field-programmable gate array (FPGA). The results show that this new scheme requires only one additional clock cycle and there is no change in the elementary iteration for the same precision compared with the conventional algorithm. In addition, the circuit realization is regular and the change in system throughput is very minimal. 展开更多
关键词 coordinate rotation digital computer (CORDIC) algorithm scale factor correction field-programmable gate array (FPGA)
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FPGA Implementation of Wave Pipelining CORDIC Algorithms 被引量:1
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作者 崔嵬 《Journal of Beijing Institute of Technology》 EI CAS 2008年第1期76-80,共5页
The implementation of the coordinate rotational digital computer (CORDIC) algorithm with wave pipelining technique on field programmable gate array (FPGA) is described. All data in FPGA-based wave pipelining pass ... The implementation of the coordinate rotational digital computer (CORDIC) algorithm with wave pipelining technique on field programmable gate array (FPGA) is described. All data in FPGA-based wave pipelining pass through a number of logic gates, in the same way that all data pass through the same number of registers in a conventional pipeline. Moreover, all paths are routed using identical routing resources. The manual placement, timing driven routing and timing analyzing techniques are applied to optimize the layout for achieving good path balance. Experimental results show that a 256-LUT logic depth circuit mapped on XC4VLX15-12 runs as high as 330 MHz, whichis a little lower than the speed of 336 MHz based on the conventional 16-stage pipelining in the same chip. The latency of the wave pipelining circuit is 30.3 ns, which is 36.4% shorter than the latency of 16-stage conventional pipelining circuit. 展开更多
关键词 wave pipelining coordinate rotational digital computer(CORDIC) algorithm pipeline latency path balance performance comparison
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EVALUATION OF CORRECTIONS ON TURBULENT FLUXES OBTAINED BY EDDY COVARIANCE METHOD IN HIGH WINDS 被引量:1
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作者 BI Xue-yan WEN Bin +5 位作者 ZHAO Zhong-kuo HUANG Jian LIU Chun-xia HUANG Hui-jun MAO Wei-kang WEN Guan-huan 《Journal of Tropical Meteorology》 SCIE 2018年第2期176-184,共9页
This paper investigates processing of fast-response data and corrections of turbulent fluxes obtained by using eddy covariance method based on data collected at an offshore observation tower during three Cold-intrusio... This paper investigates processing of fast-response data and corrections of turbulent fluxes obtained by using eddy covariance method based on data collected at an offshore observation tower during three Cold-intrusion(CI)events in the South China Sea in 2010. This study presents the data processing procedure in detail and compares frictional velocities(u*), sensible heat fluxes(H) and latent heat fluxes(LE) yielded by using different averaging periods and different coordinate rotation methods; evaluates the sonic temperature correction for sensible heat flux and the Webb correction for latent heat flux as a function of 10 m wind speed(u10) during the CIs. The results show(1) that the different averaging periods of 30 min and 10 min cause biases of u*(H, LE) within 5%(15%, 62%). The values of u*(H,LE) averaged from 30 mins are mostly larger than those averaged from 10 mins. We suggest that the averaging period of 10 min is not sufficiently long to capture all scale eddies and recommend 30 min averaging period in calculating turbulent fluxes using eddy covariance method during CIs;(2) that the values of u*(H, LE) obtained from double rotation(DR2) and those obtained from planar fit rotation(PF) have good agreements and correlation coefficients between them are larger than 0.99. Because PF method requires unchanged environment and it is easier to apply DR2 method, we suggest DR2 coordinate rotation method in processing fast-response data; and(3) that the median values of frictional velocity(sensible heat flux and latent heat flux) binned according to 2 m s^(-1) intervals of u_(10) increase(decrease,increase) by less than 9%(4%, 10%) by Coriolis corrections(sonic temperature corrections, Webb corrections), which decreases(decreases, increases) with increasing u10 when u10 are 5-17 m s^(-1). 展开更多
关键词 processing of fast-response data averaging period coordinate rotation Coriolis correction sonic temperature correction Webb correction
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New method for oblique impact dynamics research of a flexible beam with large overall motion considering impact friction force 被引量:1
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作者 W.Yuan L.Li +1 位作者 D.G.Zhang J.Z.Hong 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2016年第4期720-730,共11页
A flexible beam with large overall rotating motion impacting with a rigid slope is studied in this paper. The tangential friction force caused by the oblique impact is analyzed. The tangential motion of the system is ... A flexible beam with large overall rotating motion impacting with a rigid slope is studied in this paper. The tangential friction force caused by the oblique impact is analyzed. The tangential motion of the system is divided into a stick state and a slip state. The contact constraint model and Coulomb friction model are used respectively to deal with the two states. Based on this hybrid modeling method, dynamic equations of the system, which include all states(before, during, and after the collision)are obtained. Simulation results of a concrete example are compared with the results obtained from two other models: a nontangential friction model and a modified Coulomb model. Differences in the results from the three models are discussed. The tangential friction force cannot be ignored when an oblique impact occurs. In addition, the results obtained from the model proposed in this paper are more consistent with real movement. 展开更多
关键词 collision oblique friction stick tangential considering Coulomb constraint coordinate rotating
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Moving Human Posture Recognition Based on Joint Quaternion 被引量:1
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作者 刘妍 郝矿荣 丁永生 《Journal of Donghua University(English Edition)》 EI CAS 2016年第5期694-698,共5页
Posture recognition plays an important role in many applications,such as security system and monitoring system.Joint quaternion combined with support vector machine(SVM) can solve the problem of moving human posture r... Posture recognition plays an important role in many applications,such as security system and monitoring system.Joint quaternion combined with support vector machine(SVM) can solve the problem of moving human posture recognition.It is a simple and effective algorithm that only three joints are used as the feature points in the whole human skeleton.Using the quaternion of the three joints,a feature vector with five parameters in gait cycle is extracted.The efficiency of the proposed method is demonstrated through an experimental study,and walking and running postures can be distinguished accurately. 展开更多
关键词 Recognition joints rotation running recognize distinguished coordinates frames camera interpolation
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CORDIC algorithm based on FPGA
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作者 戴益君 毕卓 《Journal of Shanghai University(English Edition)》 CAS 2011年第4期304-309,共6页
It is an important problem that we implement floating point trigonometric functions of high precision with suitable hardware cost for high performance in digit image processing. The coordinate rotational digital compu... It is an important problem that we implement floating point trigonometric functions of high precision with suitable hardware cost for high performance in digit image processing. The coordinate rotational digital computer (CORDIC) arithmetic to is used to solve the above problem in this paper. In order to increase the speed of operation, it chooses the pipeline architecture. The results are disposed by IEEE-754 standard. The CORDIC architecture is modeled by using the verilog HDL and verified with MATLAB program and ModelSim 6.2SE tool. A 32 bits radix-2 CORDIC architecture was implemented on the available FPGA platform. The entire CORDIC architecture operated at 126.34 MHz of clock rate with a power consumption of 318.56 mW. Its theoretical background, procedures, simulation results and conclusions are presented in this paper. 展开更多
关键词 digital image processing coordinate rotational digital computer (CORDIC) piepline radix-2
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Implementing kinematics computation in FPGA co-processor for a 6-DOF space manipulator
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作者 郑一力 《High Technology Letters》 EI CAS 2009年第3期250-254,共5页
Based on the coordinate rotation digital computer(CORDIC)algorithm,the high-speed kinematicscalculation for a six degree of freedom(DOF)space manipulator is implemented in a field programmablegate array(FPGA)co-proces... Based on the coordinate rotation digital computer(CORDIC)algorithm,the high-speed kinematicscalculation for a six degree of freedom(DOF)space manipulator is implemented in a field programmablegate array(FPGA)co-processor.A pipeline architecture is adopted to reduce the complexity and time-consumption of the kinematics calculation .The CORDIC soft-core and the CORDIC-based pipelined kine-matics calculation co-processor are described with the very-high-speed integrated circuit hardware descrip-tion language(VHDL)language and realized in the FPGA .Finally,the feasibility of the design is vali-dated in the Spartan-3 FPGA of Xilinx Inc.,and the performance specifications of FPGA co-processor arediscussed.The results show that time-consumption of the kinematics calculation is greatly reduced. 展开更多
关键词 Space manipulator coordinate rotation digital computer (CORDIC) KINEMATICS field programmable gate array (FPGA)
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Multi-sink Deployment Strategy for Wireless Sensor Networks Based on Improved Particle Swarm Clustering Optimization Algorithm
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作者 李芳 丁永生 +1 位作者 郝矿荣 姚光顺 《Journal of Donghua University(English Edition)》 EI CAS 2016年第5期689-693,共5页
In wireless sensor networks(WSNs) with single sink,the nodes close to the sink consume their energy too fast due to transferring a large number of data packages,resulting in the "energy hole" problem.Deployi... In wireless sensor networks(WSNs) with single sink,the nodes close to the sink consume their energy too fast due to transferring a large number of data packages,resulting in the "energy hole" problem.Deploying multiple sink nodes in WSNs is an effective strategy to solve this problem.A multi-sink deployment strategy based on improved particle swarm clustering optimization(IPSCO) algorithm for WSNs is proposed in this paper.The IPSCO algorithm is a combination of the improved particle swarm optimization(PSO) algorithm and K-means clustering algorithm.According to the sink nodes number K,the IPSCO algorithm divides the sensor nodes in the whole network area into K clusters based on the distance between them,making the total within-class scatter to minimum,and outputs the center of each cluster.Then,multiple sink nodes in the center of each cluster can be deployed,to achieve the effects of partition network reasonably and deploy multi-sink nodes optimally.The simulation results show that the deployment strategy can prolong the network lifetime. 展开更多
关键词 clustering deployment partition scatter rotation reasonably lifetime recognize Recognition coordinates
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Simulation research on a minimum root-mean-square error rotation-fitting algorithm for gravity matching navigation 被引量:12
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作者 WANG HuBiao WANG Yong +2 位作者 FANG Jian CHAI Hua ZHENG Hui 《Science China Earth Sciences》 SCIE EI CAS 2012年第1期90-97,共8页
Gravity/inertial combination navigation is a leading issue in realizing passive navigation onboard a submarine. A new rotation-fitting gravity matching algorithm, based on the Terrain Contour Matching (TERCOM) algorit... Gravity/inertial combination navigation is a leading issue in realizing passive navigation onboard a submarine. A new rotation-fitting gravity matching algorithm, based on the Terrain Contour Matching (TERCOM) algorithm, is proposed in this paper. The algorithm is based on the principle of least mean-square-error criterion, and searches for a certain matched trajectory that runs parallel to a trace indicated by an inertial navigation system on a gravity base map. A rotation is then made clockwise or counterclockwise through a certain angle around the matched trajectory to look for an optimal matched trajectory within a certain angle span range, and through weighted fitting with another eight suboptimal matched trajectories, the endpoint of the fitted trajectory is considered the optimal matched position. In analysis of the algorithm reliability and matching error, the results from simulation indicate that the optimal position can be obtained effectively in real time, and the positioning accuracy improves by 35% and up to 1.05 nautical miles using the proposed algorithm compared with using the widely employed TERCOM and SITAN methods. Current gravity-aided navigation can benefit from implementation of this new algorithm in terms of better reliability and positioning accuracy. 展开更多
关键词 Terrain Contour Matching algorithm minimum root-mean-square error rotation of coordinates weighted fit gravityaided navigation
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A 3D measurement method based on multi-view fringe projection by using a turntable 被引量:1
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作者 宋丽梅 高艳艳 +2 位作者 朱新军 郭庆华 习江涛 《Optoelectronics Letters》 EI 2016年第5期389-394,共6页
In order to get the entire data in the optical measurement, a multi-view three-dimensional(3D) measurement method based on turntable is proposed. In the method, a turntable is used to rotate the object and obtain mult... In order to get the entire data in the optical measurement, a multi-view three-dimensional(3D) measurement method based on turntable is proposed. In the method, a turntable is used to rotate the object and obtain multi-view point cloud data, and then multi-view point cloud data are registered and integrated into a 3D model. The measurement results are compared with that of the sticking marked point method. Experimental results show that the measurement process of the proposed method is simpler, and the scanning speed and accuracy are improved. 展开更多
关键词 projection registered cloud fringe calibration rotate fitting reconstructed coordinates scanner
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A novel 3780-point FFT processor scheme for the time domain synchronous OFDM system
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作者 Ji-nan LENG Lei XIE +1 位作者 Hui-fang CHEN Kuang WANG 《Journal of Zhejiang University-Science C(Computers and Electronics)》 SCIE EI 2011年第12期1021-1030,共10页
The 3780-point FFT is a main component of the time domain synchronous OFDM (TDS-OFDM) system and the key technology in the Chinese Digital Multimedia/TV Broadcasting-Terrestrial (DMB-T) national standard. Sinc, e ... The 3780-point FFT is a main component of the time domain synchronous OFDM (TDS-OFDM) system and the key technology in the Chinese Digital Multimedia/TV Broadcasting-Terrestrial (DMB-T) national standard. Sinc, e 3780 is not a power of 2, the classical radix-2 or radix-4 FFT algorithm cannot be applied directly. Hence, the Winograd Fourier transform algorithm (WFTA) and the Good-Thomas prime factor algorithm (PFA) are used to implement the 3780-point FFT processor. However, the structure based on WFTA and PFA has a large computational complexity and requires many DSPs in hardware implementation. In this paper, a novel 3780-point FFT processor scheme is proposed, in which a 60x63 iterative WFTA architecture with different mapping methods is imported to replace the PFA architecture, and an optimized CoOrdinate Rotation Digital Computer (CORDIC) module is used for the twiddle factor multiplications. Compared to the traditional scheme, our proposed 3780-point FFT processor scheme reduces the number of multiplications by 45% at the cost of 1% increase in the number of additions. All DSPs are replaced by the optimized CORDIC module and ROM. Simulation results show that the proposed 3780-point FFT processing scheme satisfies the requirement of the DMB-T standard, and is an efficient architecture for the TDS-OFDM system. 展开更多
关键词 3780 coordinate Rotation Digital Computer (CORDIC) Digital Multimedia/TV Broadcasting-Terrestrial (DMB-T) FFT Time domain synchronous OFDM (TDS-OFDM) Winograd Fourier transform algorithm (WFTA)
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Computer assessment of the composition of a generic wound by image processing
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作者 Rohit Nayak Pramod Kumar Ramesh R.Galigekere 《Plastic and Aesthetic Research》 2015年第1期261-265,共5页
Aim:This paper addresses the assessment of the composition of a general wound,in terms of all identifiable categories of tissue and pigmentation in an attempt to improve accuracy in assessing and monitoring wound heal... Aim:This paper addresses the assessment of the composition of a general wound,in terms of all identifiable categories of tissue and pigmentation in an attempt to improve accuracy in assessing and monitoring wound health.Materials and Methods:A knowledgebase of clusters was built into the hue,saturation and intensity(HSI)color space and then used for assessing wound composition.Based on the observation that the clusters are fairly distinct,two different algorithms,that is,Mahalanobis distance(MD)based and the rotated coordinate system(RCS)method,were used for classification.These methods exploit the shape,spread,and orientation of each cluster.Results:The clusters in the HSI color space,built from about 9,000(calibrated)pixels from 48 images of various wound beds,showed 8 fairly distinct regions.The inter-cluster distances were consistent with the visual appearance.The efficacy of the MD and RCS based methods in 120 experiments taken from a set of 15 test images(in terms of average percent-match)was found to be 91.55 and 93.71,respectively.Conclusion:Our investigations established eight categories of tissue and pigmentation in wound beds.These findings help to determine the stage of wound healing more accurately and comprehensively than typically permitted through use of the 4-color model reported in the literature for addressing specific wound types. 展开更多
关键词 Wound composition color-image processing HUE saturation and intensity model classification Mahalanobis distance rotated coordinate system method
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