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Anti-aliasing nonstationary signals detecion algorithm based on interpolation in the frequency domain using the short time Fourier transform 被引量:7
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作者 Bian Hailong Chen Guangju 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第3期419-426,共8页
To eliminate the aliasing that appeared during the measurement of multi-components nonstationary signals, a novel kind of anti-aliasing algorithm based on the short time Fourier transform (STFT) is brought forward. ... To eliminate the aliasing that appeared during the measurement of multi-components nonstationary signals, a novel kind of anti-aliasing algorithm based on the short time Fourier transform (STFT) is brought forward. First the physical essence of aliasing that occurs is analyzed; second the interpolation algorithm model is setup based on the Hamming window; then the fast implementation of the algorithm using the Newton iteration method is given. Using the numerical simulation the feasibility of algorithm is validated. Finally, the electrical circuit experiment shows the practicality of the algorithm in the electrical engineering. 展开更多
关键词 nonstationary signal interpolation ANTI-ALIASING short time Fourier transform (STFT) iterative algorithm.
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Realization of orientation interpolation of 6-axis articulated robot using quaternion 被引量:7
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作者 AHN Jin-su CHUNG Won-jee JUNG Chang-doo 《Journal of Central South University》 SCIE EI CAS 2012年第12期3407-3414,共8页
In general, the orientation interpolation of industrial robots has been done based on Euler angle system which can result in singular point (so-called Gimbal Lock). However, quaternion interpolation has the advantag... In general, the orientation interpolation of industrial robots has been done based on Euler angle system which can result in singular point (so-called Gimbal Lock). However, quaternion interpolation has the advantage of natural (specifically smooth) orientation interpolation without Gimbal Lock. This work presents the application of quatemion interpolation, specifically Spherical Linear IntERPolation (SLERP), to the orientation control of the 6-axis articulated robot (RS2) using LabVIEW and RecurDyn. For the comparison of SLERP with linear Euler interpolation in the view of smooth movement (profile) of joint angles (torques), the two methods are dynamically simulated on RS2 by using both LabVIEW and RecurDyn. Finally, our original work, specifically the implementation of SLERP and linear Euler interpolation on the actual robot, i.e. RS2, is done using LabVIEW motion control tool kit. The SLERP orientation control is shown to be effective in terms of smooth joint motion and torque when compared to a conventional (linear) Euler interpolation. 展开更多
关键词 QUATERNION spherical linear interpolation (SLERP) Euler angle linear Euler interpolation 6-axis articulated robot
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Local spatial properties based image interpolation scheme using SVMs 被引量:2
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作者 Ma Liyong Shen Yi Ma Jiachen 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第3期618-623,共6页
Image interpolation plays an important role in image process applications. A novel support vector machines (SVMs) based interpolation scheme is proposed with increasing the local spatial properties in the source ima... Image interpolation plays an important role in image process applications. A novel support vector machines (SVMs) based interpolation scheme is proposed with increasing the local spatial properties in the source image as SVMs input patterns. After the proper neighbor pixels region is selected, trained support vectors are obtained by training SVMs with local spatial properties that include the average of the neighbor pixels gray values and the gray value variations between neighbor pixels in the selected region. The support vector regression machines are employed to estimate the gray values of unknown pixels with the neighbor pixels and local spatial properties information. Some interpolation experiments show that the proposed scheme is superior to the linear, cubic, neural network and other SVMs based interpolation approaches. 展开更多
关键词 image processing interpolation support vector machines local spatial properties support vectorregression.
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Seismic ray-tracing calculation based on parabolic travel-time interpolation 被引量:2
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作者 周竹生 张赛民 陈灵君 《Journal of Central South University of Technology》 2004年第2期199-205,共7页
A new seismic ray-tracing method is put forward based on parabolic travel-time interpolation(PTI) method, which is more accurate than the linear travel-time interpolation (LTI) method. Both PTI method and LTI method a... A new seismic ray-tracing method is put forward based on parabolic travel-time interpolation(PTI) method, which is more accurate than the linear travel-time interpolation (LTI) method. Both PTI method and LTI method are used to compute seismic travel-time and ray-path in a 2-D grid cell model. Firstly, some basic concepts are introduced. The calculations of travel-time and ray-path are carried out only at cell boundaries. So, the ray-path is always straight in the same cells with uniform velocity. Two steps are applied in PTI and LTI method, step 1 computes travel-time and step 2 traces ray-path. Then, the derivation of LTI formulas is described. Because of the presence of refraction wave in shot cell, the formula aiming at shot cell is also derived. Finally, PTI method is presented. The calculation of PTI method is more complex than that of LTI method, but the error is limited. The results of numerical model show that PTI method can trace ray-path more accurately and efficiently than LTI method does. 展开更多
关键词 RAY-TRACING parabolic travel-time interpolation method linear travel-time interpolation method (travel-time ) ray-path grid cell
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Null subcarriers based Doppler scale estimation with polynomial interpolation for multicarrier communication over ultrawideband underwater acoustic channels 被引量:1
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作者 Yang Chen Jingwei Yin +2 位作者 Ling Zou Dan Yang Yuan Cao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2015年第6期1177-1183,共7页
This paper addresses the extremal problem of the null subcarriers based Doppler scale estimation in underwater acoustic (UWA) orthogonal frequency division multiplexing (OFDM) communication. The cost function cons... This paper addresses the extremal problem of the null subcarriers based Doppler scale estimation in underwater acoustic (UWA) orthogonal frequency division multiplexing (OFDM) communication. The cost function constructed of the total energy of null subcarriers through discrete Fourier transform (DFT) is proposed. The frequencies of null subcarriers are identified from non-uniform Doppler shift at each tentative scaling factor. Then it is proved that the cost function can be fitted as a quadratic polynomial near the global minimum. An accurate Doppler scale estimation is achieved by the location of the global scarifying precision and increasing the computation minimum through polynomial interpolation, without complexity. A shallow water experiment is conducted to demonstrate the performance of the proposed method. Excellent performance results are obtained in ultrawideband UWA channels with a relative bandwidth of 67%, when the transmitter and the receiver are moving at a relative speed of 5 kn, which validates the proposed method. 展开更多
关键词 underwater acoustic (UWA) communication orthogo-nal frequency division multiplexing (OFDM) Doppler scale estimation polynomial interpolation.
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Spatiotemporal interpolation of precipitation across Xinjiang, China using space-time CoKriging 被引量:1
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作者 HU Dan-gui SHU Hong 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第3期684-694,共11页
In various environmental studies, geoscience variables not only have the characteristics of time and space, but also are influenced by other variables. Multivariate spatiotemporal variables can improve the accuracy of... In various environmental studies, geoscience variables not only have the characteristics of time and space, but also are influenced by other variables. Multivariate spatiotemporal variables can improve the accuracy of spatiotemporal estimation. Taking the monthly mean ground observation data of the period 1960–2013 precipitation in the Xinjiang Uygur Autonomous Region, China, the spatiotemporal distribution from January to December in 2013 was respectively estimated by space-time Kriging and space-time CoKriging. Modeling spatiotemporal direct variograms and a cross variogram was a key step in space-time CoKriging. Taking the monthly mean air relative humidity of the same site at the same time as the covariates, the spatiotemporal direct variograms and the spatiotemporal cross variogram of the monthly mean precipitation for the period 1960–2013 were modeled. The experimental results show that the space-time CoKriging reduces the mean square error by 31.46% compared with the space-time ordinary Kriging. The correlation coefficient between the estimated values and the observed values of the space-time CoKriging is 5.07% higher than the one of the space-time ordinary Kriging. Therefore, a space-time CoKriging interpolation with air humidity as a covariate improves the interpolation accuracy. 展开更多
关键词 space-time CoKriging product-sum model VARIOGRAM PRECIPITATION interpolation
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Novel Retinex algorithm by interpolation and adaptive noise suppression 被引量:1
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作者 李武劲 古博 +1 位作者 黄江涛 王明辉 《Journal of Central South University》 SCIE EI CAS 2012年第9期2541-2547,共7页
In order to improve image quality, a novel Retinex algorithm for image enhancement was presented. Different from conventional algorithms, it was based on certain defined points containing the illumination information ... In order to improve image quality, a novel Retinex algorithm for image enhancement was presented. Different from conventional algorithms, it was based on certain defined points containing the illumination information in the intensity image to estimate the illumination. After locating the points, the whole illumination image was computed by an interpolation technique. When attempting to recover the reflectance image, an adaptive method which can be considered as an optimization problem was employed to suppress noise in dark environments and keep details in other areas. For color images, it was taken in the band of each channel separately. Experimental results demonstrate that the proposed algorithm is superior to the traditional Retinex algorithms in image entropy. 展开更多
关键词 Retinex algorithm illumination estimation interpolation adaptive noise suppression
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Smooth cutting pattern generation technique for membrane structures using geodesic line on subplane and spline interpolation 被引量:1
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作者 SHON Su-deok LEE Seung-jae LEE Kang-guk 《Journal of Central South University》 SCIE EI CAS 2013年第11期3131-3141,共11页
Practical techniques for smooth geodesic patterning of membrane structures were investigated.For the geodesic search,adjustment of the subplane of the extracted elements series was proposed,and various spline approxim... Practical techniques for smooth geodesic patterning of membrane structures were investigated.For the geodesic search,adjustment of the subplane of the extracted elements series was proposed,and various spline approximation methods were used to flatten the strip for the generation of a smooth pattern.This search approach is very simple,and the geodesic line could be easily attained by the proposed method without the need for a difficult computation method.Smooth cutting patterning can also be generated by spline approximation without the noise in discrete nodal information.Additionally,the geodesic cutting pattern saved about 21%of the required area for the catenary model due to the reduction of the curvature of the planar pattern seam line. 展开更多
关键词 membrane structures cutting pattern generation geodesic line spline interpolation triangular mesh sub-plane
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Approach for ISAR imaging of near-field targets based on coordinate conversion and image interpolation 被引量:1
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作者 ZHOU Xingyu WANG Yong LU Xiaofei 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2021年第2期425-436,共12页
Inverse synthetic aperture radar(ISAR)imaging of near-field targets is potentially useful in some specific applications,which makes it very important to efficiently produce highquality image of the near-field target.I... Inverse synthetic aperture radar(ISAR)imaging of near-field targets is potentially useful in some specific applications,which makes it very important to efficiently produce highquality image of the near-field target.In this paper,the simplified target model with uniform linear motion is applied to the near-field target imaging,which overcomes the complexity of the traditional near-field imaging algorithm.According to this signal model,the method based on coordinate conversion and image interpolation combined with the range-Doppler(R-D)algorithm is proposed to correct the near-field distortion problem.Compared with the back-projection(BP)algorithm,the proposed method produces better focused ISAR images of the near-field target,and decreases the computation complexity significantly.Experimental results of the simulated data have demonstrated the effectiveness and robustness of the proposed method. 展开更多
关键词 inverse synthetic aperture radar(ISAR) near-field imaging image interpolation back-projection(BP)algorithm
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Grey interpolation approach for small time-lag samples based on grey dynamic relation analysis
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作者 WANG Junjie DANG Yaoguo +1 位作者 XU Ning DING Song 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第1期105-115,共11页
Given a non-equidistant sequence or an equidistant series with one or more outliers, a grey interpolation approach considering the time lags is established for producing the missing data or correcting the abnormal val... Given a non-equidistant sequence or an equidistant series with one or more outliers, a grey interpolation approach considering the time lags is established for producing the missing data or correcting the abnormal values. To accomplish this, a new grey incidence model, called the grey dynamic incidence model GDIM(t), is constructed for determining whether the factors are effective to the known factor and what the time lag is between a useful factor and the specified sequence. Based on the results of the GDIM(t) model, two programming problems are designed to obtain the upper and lower bounds of the unknown or abnormal values which are regarded as grey numbers. The solutions based on the particle swarm optimization(PSO) for the nonlinear programming problems are given. To explain how it can be used in practice, this new grey interpolation approach is applied to correct an abnormal value in the sequence of an agriculture environment problem. 展开更多
关键词 grey interpolation grey relational analysis time lags programming problems
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Three-Dimensional Space Interpolation of Grey / Depth Image Sequence-A New Technique of Computer Graphics Synthesis
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作者 Wang Xincheng, Zhu Weile, Zhu Xiaokun and Gu DerenChengdu University of Electronic Science and Technology, Chengdu 610054 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1993年第3期70-77,共8页
This paper advances a three-dimensional space interpolation method of grey / depth image sequence, which breaks free from the limit of original practical photographing route. Pictures can cruise at will in space. By u... This paper advances a three-dimensional space interpolation method of grey / depth image sequence, which breaks free from the limit of original practical photographing route. Pictures can cruise at will in space. By using space sparse sampling, great memorial capacity can be saved and reproduced scenes can be controlled. To solve time consuming and complex computations in three-dimensional interpolation algorithm, we have studied a fast and practical algorithm of scattered space lattice and that of 'Warp' algorithm with proper depth. By several simple aspects of three dimensional space interpolation, we succeed in developing some simple and practical algorithms. Some results of simulated experiments with computers have shown that the new method is absolutely feasible. 展开更多
关键词 Grey / depth image Three-dimensional space interpolation Computer graphics synthesis Algorithms.
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Factors affecting accuracy of radial point interpolation meshfree method for 3-D solid mechanics
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作者 彭翀 袁会娜 +1 位作者 张丙印 张琰 《Journal of Central South University》 SCIE EI CAS 2013年第11期3229-3246,共18页
Recently,the radial point interpolation meshfree method has gained popularity owing to its advantages in large deformation and discontinuity problems,however,the accuracy of this method depends on many factors and the... Recently,the radial point interpolation meshfree method has gained popularity owing to its advantages in large deformation and discontinuity problems,however,the accuracy of this method depends on many factors and their influences are not fully investigated yet.In this work,three main factors,i.e.,the shape parameters,the influence domain size,and the nodal distribution,on the accuracy of the radial point interpolation method(RPIM)are systematically studied and conclusive results are obtained.First,the effect of shape parameters(R,q)of the multi-quadric basis function on the accuracy of RPIM is examined via global search.A new interpolation error index,closely related to the accuracy of RPIM,is proposed.The distribution of various error indexes on the R q plane shows that shape parameters q[1.2,1.8]and R[0,1.5]can give good results for general 3-D analysis.This recommended range of shape parameters is examined by multiple benchmark examples in 3D solid mechanics.Second,through numerical experiments,an average of 30 40 nodes in the influence domain of a Gauss point is recommended for 3-D solid mechanics.Third,it is observed that the distribution of nodes has significant effect on the accuracy of RPIM although it has little effect on the accuracy of interpolation.Nodal distributions with better uniformity give better results.Furthermore,how the influence domain size and nodal distribution affect the selection of shape parameters and how the nodal distribution affects the choice of influence domain size are also discussed. 展开更多
关键词 meshfree method radial point interpolation method shape parameter influence domain size nodal distribution
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(G^2-continuous) SHAPE PRESERVING CUBIC INTERPOLATION SPLINE CURVE
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作者 Fang Kui(Department of System Engineering and Mathematics, NUDT, Changsha,410073) 《国防科技大学学报》 EI CAS CSCD 北大核心 1995年第3期65-69,共5页
(G~2-continuous)SHAPEPRESERVINGCUBICINTERPOLATIONSPLINE CURVEFangKui(DepartmentofSystemEngineeringandMathema... (G~2-continuous)SHAPEPRESERVINGCUBICINTERPOLATIONSPLINE CURVEFangKui(DepartmentofSystemEngineeringandMathematics,NUDT,Changsh?.. 展开更多
关键词 G^2-连续 插值 样条曲线
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乌玛高速沙漠段风沙环境特征及格状沙丘移动规律 被引量:1
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作者 李良英 王振强 +3 位作者 王旭 辛国伟 李琦 吕乐乐 《水土保持研究》 北大核心 2025年第1期160-171,共12页
[目的]沙丘移动与风沙环境特征和沙丘形态具有直接关系,探究多种因素作用下的格状沙丘移动规律,能为沙区公路风沙防治提供科学依据。[方法]以乌玛高速沙漠段格状沙丘为研究对象,基于当地气象数据、Google Earth卫星影像,研究了2019-202... [目的]沙丘移动与风沙环境特征和沙丘形态具有直接关系,探究多种因素作用下的格状沙丘移动规律,能为沙区公路风沙防治提供科学依据。[方法]以乌玛高速沙漠段格状沙丘为研究对象,基于当地气象数据、Google Earth卫星影像,研究了2019-2021年乌玛高速沙漠段K167+300,K172+300,K177+300里程处风沙环境及格状沙丘的形态演变和移动规律。[结果](1)研究区年平均起沙风速介于6.07~6.84 m/s,春夏为主要输沙季节,主风向为西北风,次风向为东南风;年输沙势介于31.77~38.89 VU,方向变率指数(RDP/DP)介于0.73~0.78,属于低风能环境、中变率风况。(2)研究区自东北向西南方向,格状沙丘主梁向东偏移,副梁向南偏移,主副梁走向几乎保持垂直,沙丘形态整体上变化较小;格状沙丘的主副梁长度、主副梁间距、沙丘高度均呈现出增加的趋势,主副梁长度增长率、主副梁偏移率呈减小趋势。(3)沙丘移动方向介于140.43°~152.64°,与年RDD变化基本一致,即向东南偏移;沙丘平均高度介于5.24~8.31 m,沙丘移动速率介于2.31~2.86 m/a,两者表现为负相关关系。(4)输沙势、年均温度与沙丘移动速率为正相关关系,相较而言,年均温度对沙丘移动速率的影响更为显著;年均降水量、植被覆盖度与沙丘移动速率为负相关关系,其中年均降水量对移动速率的影响尤为重要。[结论]格状沙丘的移动与当地风况、降水量、温度、植被覆盖度及沙丘自身形态息息相关,其中输沙势及温度增加会加速沙丘前移,不利于对风沙的防治,而提高降水量及植被覆盖度,对防治沙丘移动引起的公路风沙灾害具有积极作用。 展开更多
关键词 格状沙丘 输沙势 空间插值 沙丘移动 形态演变
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挖掘机直线作业的精准轨迹规划
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作者 王爱红 席浩 +3 位作者 周继红 高有山 王猛 李虎山 《中国工程机械学报》 北大核心 2025年第2期244-248,253,共6页
针对关节空间中使用分段的多项式插值方法对挖掘机直线作业的运动轨迹进行轨迹规划时,存在轨迹并非直线导致轨迹并不精准的问题,提出一种基于多维轨迹的五次多项式插值方法,实现挖掘机直线作业的精准轨迹。在使用Matlab绘制出运动时相... 针对关节空间中使用分段的多项式插值方法对挖掘机直线作业的运动轨迹进行轨迹规划时,存在轨迹并非直线导致轨迹并不精准的问题,提出一种基于多维轨迹的五次多项式插值方法,实现挖掘机直线作业的精准轨迹。在使用Matlab绘制出运动时相关图像的同时,使用ikunc函数使得运动过程中各点求逆解最优化,并使用关节角度轨迹平滑处理算法和粒子群优化算法,对ikunc函数最优逆解关节角度变化最小进行验证,验证了ikunc函数对关节角度变化量最小、最佳求逆解的正确性,间接地达到了能量最优的效果。 展开更多
关键词 挖掘机 轨迹规划 多项式插值 运动学逆解
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格陵兰地区GNSS反演PWV分析
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作者 张胜凯 马杰 +3 位作者 龚力 雷锦韬 李文浩 肖峰 《大地测量与地球动力学》 北大核心 2025年第8期771-780,共10页
以2010—2021年格陵兰地区的35个GNSS测站的小时分辨率的天顶对流层延迟(ZTD)数据为基础,结合ERA5再分析资料和T_(m)模型,对该区域的大气可降水量(PWV)进行求解。随后,对其周年、半周年、周日、半周日等主要季节和日变化特征进行研究。... 以2010—2021年格陵兰地区的35个GNSS测站的小时分辨率的天顶对流层延迟(ZTD)数据为基础,结合ERA5再分析资料和T_(m)模型,对该区域的大气可降水量(PWV)进行求解。随后,对其周年、半周年、周日、半周日等主要季节和日变化特征进行研究。结果表明,格陵兰地区测站存在一定程度的自相关性,且夏季自相关程度弱于其他季节。周年项振幅范围为2~7 mm,半周年项振幅范围为0~3 mm,其相位在年际间变化较小,最高值出现在夏季,最低值出现在冬季。仅有少数几个测站周日项比较明显,振幅在0.08 mm左右。去除时间序列中的周年、半周年、周日项得到残差时间序列,最大的RMSE范围为1.30~3.65 mm,平均RMSE为2.08 mm,其中,北部地区RMSE偏大,南部地区较小。 展开更多
关键词 格陵兰 大气可降水量 插值 GNSS T_(m) 天顶对流层延迟
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基于均匀插值的浮游藻类规范光谱库构建方法及应用
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作者 张小玲 王思琦 +5 位作者 赵南京 殷高方 董鸣 王翔 张胜俊 陈玮杰 《光谱学与光谱分析》 北大核心 2025年第5期1225-1235,共11页
浮游藻类是海洋生态系统中最重要的生产者。离散三维荧光光谱法解决了连续三维荧光光谱仪运行条件要求高的问题,能够满足浮游藻类的在线与原位监测需求。但活体荧光不稳定性以及色素组成相似性导致的不同藻类光谱之间离散三维荧光光谱... 浮游藻类是海洋生态系统中最重要的生产者。离散三维荧光光谱法解决了连续三维荧光光谱仪运行条件要求高的问题,能够满足浮游藻类的在线与原位监测需求。但活体荧光不稳定性以及色素组成相似性导致的不同藻类光谱之间离散三维荧光光谱差异降低的问题,限制了浮游藻离散三维荧光光谱法的实际应用。本工作研究了不同生境条件下硅藻和甲藻三维荧光光谱特征,分析了常见的浓度归一化平均值(以下称平均法)规范光谱库构建方式的局限性,在此基础上提出了一种基于均匀插值的规范光谱库构建方法。通过实验分别研究了浮游藻类规范光谱库的最佳插值范围和最优插值数目,结果表明,M±2S范围的平均覆盖率达88%,平均相关系数达0.98,是光谱库的最优插值的范围。当插值数目为10条时,测量准确性比平均法提高了近13%,运算时间为0.4948 s,是兼顾准确性和运算效率的最优插值数目。基于此,构建基于均匀插值的硅藻和甲藻类规范光谱库,结合最小二乘多元线性回归分析,对实验室配置的浓度已知藻类样品进行三维荧光光谱解析,并与平均值法解析结果进行比较。结果表明,采用均匀插值法构建的规范光谱库,对5种不同浓度梯度藻样本的测量值与标准叶绿素a浓度之间的相关系数(k值)范围为0.828~1.149,决定系数(R2)在0.616~0.953之间。对硅藻门识别失败的样本数量从平均值法的21个显著减少至仅2个,对硅藻和甲藻的解析相对误差平均值分别为36.9%和30.7%,较平均值法分别降低了20.6%和19.0%,表明基于均匀插值的规范光谱库构建方法非常有效地提高了硅藻和甲藻的定量解析精度。将此建库方式分别扩展至蓝藻、绿藻和隐藻,并应用于海水叶绿素原位监测仪(AFA)的南海试验。本研究为浮游藻类快速准确测量提供了一种有效的技术方法,也为未来海洋生态监测和环境保护提供了有力的科学支撑。 展开更多
关键词 浮游藻类 荧光法 光谱库构建 均匀插值 生态安全
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三次样条插值优化渐进多焦点镜片非对称设计
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作者 项华中 吴科婷 +6 位作者 马乐飞 梅志贤 解敏 樊骏 郑泽希 张大伟 庄松林 《光学精密工程》 北大核心 2025年第6期839-849,共11页
为了改善和优化传统对称设计的渐进多焦点镜片存在视野死角和扭曲等问题,提出基于旋转平移算法和插值算法的两种偏移研究方法。首先,分析人眼的双眼汇聚现象,介绍了两种非对称设计方法:旋转平移偏移和插值偏移。其次,设定一个偏移量函数... 为了改善和优化传统对称设计的渐进多焦点镜片存在视野死角和扭曲等问题,提出基于旋转平移算法和插值算法的两种偏移研究方法。首先,分析人眼的双眼汇聚现象,介绍了两种非对称设计方法:旋转平移偏移和插值偏移。其次,设定一个偏移量函数,分别采用拉格朗日插值、牛顿插值、三次样条插值构造穿过初始偏移点的插值函数;再次,通过设定两组子午线上偏移定点值和三次样条插值的两个边界条件,分析对比三种插值算法。最后,通过仿真和实际加工给出光焦度和像散分布。实验结果表明:插值算法中三次样条插值更为平滑且无拐点,两种非对称设计方法远近用区的像散梯度都实现了平滑过渡,最大散光从1.125倍加光度减小至0.875倍加光度,偏移角度在20°~23°之间,基本满足人眼自动汇聚的特点,改善人眼视物扭曲、失真等问题。 展开更多
关键词 光学设计 渐进多焦点镜片 非对称设计 三次样条插值
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数值微分在设备组合弹道精度评估中的应用
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作者 何京江 杨涵 +1 位作者 郭茂耘 柴毅 《重庆大学学报》 北大核心 2025年第2期1-9,共9页
设备组合弹道精度评估是测量设备布站设计和设备组合弹道选优方案制定的重要基础。设备组合弹道精度评估通常采用基于误差传播原理的弹道精度评估算法,求解弹道分量关于测元的雅克比矩阵是该算法的核心。然而,对于复杂的弹道方程很难求... 设备组合弹道精度评估是测量设备布站设计和设备组合弹道选优方案制定的重要基础。设备组合弹道精度评估通常采用基于误差传播原理的弹道精度评估算法,求解弹道分量关于测元的雅克比矩阵是该算法的核心。然而,对于复杂的弹道方程很难求得雅克比矩阵的解析式。为了解决复杂弹道方程的雅克比矩阵求解难题,提出基于样条数值微分的设备组合弹道精度评估算法,通过构造弹道分量数值队列,进行基于样条插值的数值微分计算出弹道分量关于测元的雅克比矩阵,计算得到设备组合弹道理论精度。最后,通过与单台设备定位方程的理论雅克比矩阵和弹道精度进行对比,验证基于数值微分的设备组合弹道精度评估算法的有效性和实用性。 展开更多
关键词 弹道精度评估模型 雅克比矩阵 样条插值 数值微分
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基于天擎的网格实况插补站点服务构建及应用
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作者 何林 张雅斌 +3 位作者 肖卫青 霍庆 吉庆 冯洁琼 《应用气象学报》 北大核心 2025年第4期477-489,共13页
针对极端暴雨、台风等灾害性天气影响区域,因自动气象站冲毁、通信设施故障等原因造成观测数据采集或传输中断,无法及时汇交数据等问题,从气象大数据云平台(简称天擎)数据全流程角度,分析采用网格实况分析产品插补到对应缺失站点的数据... 针对极端暴雨、台风等灾害性天气影响区域,因自动气象站冲毁、通信设施故障等原因造成观测数据采集或传输中断,无法及时汇交数据等问题,从气象大数据云平台(简称天擎)数据全流程角度,分析采用网格实况分析产品插补到对应缺失站点的数据上下游关系,以此开展灾害天气预警与应急决策服务的可行性。通过调用高分辨率多源融合网格实况分析产品研发任意位置服务接口,提出国省协同插补服务、气象数据业务系统(Meteorological Da-ta Operational System,MDOS)订正插补服务、专题库插补服务的思路和方法,阐述其主要流程和关键实现技术。通过对比不同方法在数据一致性、服务时效性等方面优缺点,给出适宜国省联合应急或省内快速服务等不同应用场景下的最优插补方案。结合3个典型强降水致灾天气过程的效果检验,以及突发事件气象服务保障实际应用表明:多源融合网格实况插补站点服务流程方法可及时有效填补观测缺失值,在灾害性天气监测预警和应急保障服务中具有重要的数据支撑意义。 展开更多
关键词 网格实况分析 插补 天擎 服务接口 专题库
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