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关键词

2R-1C模型；嵌入式系统；参数估计；非迭代方法；二次型 1

三维构造 1

中轴变换；包络；插值；蒙皮；圆 1

二维插值 1

倾转旋翼机；状态跟踪控制；线性切换系统；类时间依赖的多Lyapunov函数方法；光滑插值 1

去隔行 1

地质曲面 1

多源地质数据 1

多点测量 1

密文图像；信息隐藏；图像恢复；完全可逆；插值 1

扫描格式转换 1

插值—逼近拟合 1

时空权重自适应插值 1

烟气 1

边缘搜索 1

运动估计 1

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Fundamental frequency and testing mode of complicated elastic clamped-plate vibration

QI Hongyuan, GUAN Yiduo

《机械工程前沿（英文）》 2008年第3卷第4期页码 360-364 doi: 10.1007/s11465-008-0084-4

摘要： Aimed at the modal analysis of complicated elastic clamped-plates, a trigonometric interpolation method of conformal mapping is applied to set up the mapping function between a complicated region and a unit dish region, and the fundamental frequency of the complicated vibrating region is analyzed with the help of the Galerkin method. Taking an elastic rectangle-plate with arc radius as an example, the testing mode frequency band of plates is determined by analyzing the fundamental frequency; meanwhile, according to hamming testing method of multi-point excitation to the single-point response, and by signal processing technology and its software programming, modal parameter recognition of the elastic clamped-plate is completed. Comparing the first order modal frequency with the theoretical fundament frequency, the validity of the testing mode method and theoretical analysis are verified.

关键词： multi-point excitation rectangle-plate single-point processing technology trigonometric interpolation

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Fractal characteristic evaluation and interpolation reconstruction for surface topography of drilled

《机械工程前沿（英文）》 2021年第16卷第4期页码 840-854 doi: 10.1007/s11465-021-0643-5

摘要： In this paper, an improved fractal interpolation model is proposed to reconstruct the surface topography of composite hole wall. This model adopts the maximum positive deviations and maximum negative deviations between the measured values and trend values to determine the contraction factors. Hole profiles in 24 directions are measured. Fractal parameters are calculated to evaluate the measured surface profiles. The maximum and minimum fractal dimension of the hole wall are 1.36 and 1.07, whereas the maximum and minimum fractal roughness are 4.05 × 10 ⁻⁵ and 4.36 × 10 ⁻¹⁰ m, respectively. Based on the two-dimensional evaluation results, three-dimensional surface topographies in five typical angles (0°, 45°, 90°, 135°, and 165°) are reconstructed using the improved model. Fractal parameter D _s and statistical parameters Sa, Sq, and Sz are used to evaluate the reconstructed surfaces. Average error of D _s, Sa, Sq, and Sz between the measured surfaces and the reconstructed surfaces are 1.53%, 3.60%, 5.60%, and 9.47%, respectively. Compared with the model in published literature, the proposed model has equal reconstruction effect in relatively smooth surface and is more advanced in relatively rough surface. Comparative results prove that the proposed model for calculating contraction factors is more reasonable.

关键词： surface topography fractal evaluation fractal interpolation reconstruction composite

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A multiscale-contour-based interpolation framework for generating a time-varying quasi-dense point cloud

Chu-hua HUANG,Dong-ming LU,Chang-yu DIAO

《信息与电子工程前沿（英文）》 2016年第17卷第5期页码 422-434 doi: 10.1631/FITEE.1500316

摘要： To speed up the reconstruction of 3D dynamic scenes in an ordinary hardware platform, we propose an efficient framework to reconstruct 3D dynamic objects using a multiscale-contour-based interpolation from multi-view videos. Our framework takes full advantage of spatio-temporal-contour consistency. It exploits the property to interpolate single contours, two neighboring contours which belong to the same model, and two contours which belong to the same view at different times, corresponding to point-, contour-, and model-level interpolations, respectively. The framework formulates the interpolation of two models as point cloud transport rather than non-rigid surface deformation. Our framework speeds up the reconstruction of a dynamic scene while improving the accuracy of point-pairing which is used to perform the interpolation. We obtain a higher frame rate, spatio-temporal-coherence, and a quasi-dense point cloud sequence with color information. Experiments with real data were conducted to test the efficiency of the framework.

关键词： Multi-view video Free-viewpoint video Point-pair Multiscale-contour-based interpolation Spatio-temporal-contour Consistency Time-varying point cloud sequence

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Implementation of an adaptive feed speed 3D NURBS interpolation algorithm

LIANG Hong-bin, WANG Yong-zhang, LI Xia

《机械工程前沿（英文）》 2006年第1卷第4期页码 403-408 doi: 10.1007/s11465-006-0047-6

摘要： NURBS (non-uniform rational B-spline) interpolation algorithms have been provided in modern CNC (computer numerical control) systems. However, most of them focus on a constant feed speed without considering the contour accuracy. In order to deal with this problem, an adaptive feed speed interpolation algorithm for 3D NURBS parametric curves with confined chord errors is proposed. When the instantaneous radius of the curvature is small enough, the proposed interpolation algorithm automatically reduces the feed speed to meet the specified chord error. In the other situation it uses the second-order Taylor s expansions approximation interpolation algorithm to obtain a constant feed speed so that the contour accuracy in the CNC system is guaranteed. Experimental results were provided to verify the feasibility and precision of the proposed interpolation algorithm.

关键词： NURBS parametric rational B-spline second-order non-uniform rational precision

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复杂地质曲面三维插值—逼近拟合构造方法

李明超,缪正建,刘菲,王刚

《中国工程科学》 2011年第13卷第12期页码 103-107

摘要：

针对水利水电工程多源地质数据的特点，充分考虑了地质精度要求、曲面连续性和数据存储量等多方面的均衡，提出并实现了基于NURBS(non-uniform rational B-splines，非均匀有理样条曲线）技术的复杂地质曲面插值—逼近拟合构造方法。该方法对于工程关键区域集中且均匀分布的原始数据，采用NURBS蒙皮插值方法，使曲面严格通过这些数据点；对于周边区域分布离散的数据，采用NURBS逼近拟合方法，使曲面在给定精度下充分逼近原始数据；最后对整体曲面的地质结构合理性、几何性和精度进行检查分析和调整。实例表明，该方法所构造的地质曲面能满足地质工程师的实际需要，并能为进一步的三维地质建模提供基础。

关键词：地质曲面插值—逼近拟合三维构造多源地质数据

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基于插值技术的高容量密文图像可逆信息隐藏算法 Article

Di XIAO, Ying WANG, Tao XIANG, Sen BAI

《信息与电子工程前沿（英文）》 2017年第18卷第11期页码 1732-1743 doi: 10.1631/FITEE.1601067

摘要：本文提出一种新型的高容量密文图像可逆信息隐藏方法。与直接在密文图像中嵌入数据不同，内容拥有者首先利用插值技术在加密前估算出嵌入的位置并生成地图；其次，数据隐藏者根据位置地图，通过翻转密文图像的最高有效位来嵌入额外的数据。在接收端口，接收者在提取嵌入数据和重构图像前先解密图像。实验结果表明该方法可实现完全可逆，即数据提取和图像恢复都无误。此外，与现有大多数密文图像可逆隐藏方案相比，本方案可实现更高的嵌入容量。

关键词：密文图像；信息隐藏；图像恢复；完全可逆；插值

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有理包络线的蒙皮应用

Kinga KRUPPA1,2

《信息与电子工程前沿（英文）》 2021年第22卷第2期页码 141-286 doi: 10.1631/FITEE.1900377

摘要：闵可夫斯基空间中的特殊曲线如闵可夫斯基毕达哥拉斯矢端线，在计算机辅助几何设计中有着重要作用，其应用近年来得到深入研究。Bizzarri等人在2016年介绍了一类有理包络（RE）曲线；提出用于G1 Hermite数据的插值方法，其合成的RE曲线能对所表示的区域生成有理边界。本文提出RE曲线的一类新的应用领域——离散输入圆集的蒙皮。若未选择正确的Hermite数据进行插值，得到的RE曲线将不适合蒙皮。本文介绍一种新颖的方法，按此方法得到的包络曲线能够接触每个圆预定的接触点。因此，我们克服了因接触点位置导致不适合蒙皮的问题。本文所提方法的一个显著优点在于其边界偏移量修剪的效率，这在计算机数控方面非常有用。

关键词：中轴变换；包络；插值；蒙皮；圆

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Interpolation of a spline developable surface between a curve and two rulings

Alicia CANTÓN,Leonardo FERNÁNDEZ-JAMBRINA

《信息与电子工程前沿（英文）》 2015年第16卷第3期页码 173-190 doi: 10.1631/FITEE.14a0210

摘要： In this paper we address the problem of interpolating a spline developable patch bounded by a given spline curve and the first and the last rulings of the developable surface. To complete the boundary of the patch, a second spline curve is to be given. Up to now this interpolation problem could be solved, but without the possibility of choosing both endpoints for the rulings. We circumvent such difficulty by resorting to degree elevation of the developable surface. This is useful for solving not only this problem, but also other problems dealing with triangular developable patches.

关键词： Developable surfaces Spline surfaces Blossoms

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Comparison of modeling methods for wind power prediction: a critical study

Rashmi P. SHETTY, A. SATHYABHAMA, P. Srinivasa PAI

《能源前沿（英文）》 2020年第14卷第2期页码 347-358 doi: 10.1007/s11708-018-0553-3

摘要： Prediction of power generation of a wind turbine is crucial, which calls for accurate and reliable models. In this work, six different models have been developed based on wind power equation, concept of power curve, response surface methodology (RSM) and artificial neural network (ANN), and the results have been compared. To develop the models based on the concept of power curve, the manufacturer’s power curve, and to develop RSM as well as ANN models, the data collected from supervisory control and data acquisition (SCADA) of a 1.5 MW turbine have been used. In addition to wind speed, the air density, blade pitch angle, rotor speed and wind direction have been considered as input variables for RSM and ANN models. Proper selection of input variables and capability of ANN to map input-output relationships have resulted in an accurate model for wind power prediction in comparison to other methods.

关键词： power curve method of least squares cubic spline interpolation response surface methodology artificial neural network (ANN)

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Assessment of pollution of potentially harmful elements in soils surrounding a municipal solid waste incinerator, China

Ying Han, Huiting Xie, Wenbin Liu, Haifeng Li, Mengjing Wang, Xuebin Chen, Xiao Liao, Nan Yan

《环境科学与工程前沿（英文）》 2016年第10卷第6期 doi: 10.1007/s11783-016-0873-7

摘要： Potentially harmful elements in ambient soil of a MSWI were assessed. Spatial distribution of potential ecological risk index was investigated. Health risk assessment of potentially harmful elements in soil was evaluated. Hg in the soil posed health hazards to the local population. We assessed the contamination levels of Mn, Zn, Cr, Cu, Ni, Pb, As and Hg and the risks posed by these potentially harmful elements in top-soils around a municipal solid waste incinerator (MSWI). We collected 20 soil samples, with an average pH of 8.1, and another fly ash sample emitted from the MSWI to investigate the concentrations of these elements in soils. We determined the concentrations of these elements by inductively coupled plasma–optical emission spectrometer (ICP-OES), except for Hg, which we measured by AF-610B atomic fluorescence spectrometer ( ). We assessed the risks of these elements through the use of geoaccumulation index ( ), potential ecological risk index ( ), hazard quotient ( ) and cancer risk ( ). The results showed that concentrations of potentially harmful elements in soil were influenced by the wind direction, and the concentrations of most elements were higher in the area northwest of the MSWI, compared with the area southeast of the incinerator, with the exception of As; these results were in accordance with those results acquired from our contour maps. According to the values, some soil samples were clearly polluted by Hg emissions. However, the health risk assessment indicated that the concentrations of Hg and other elements in soil did not pose non-carcinogenic risks to the local populations. This was also the case for the carcinogenic risks posed by As, Cr, and Ni. The carcinogenic risk posed by As was higher, in the range 6.49 × 10 –9.58 × 10 , but this was still considered to be an acceptable level of risk.

关键词： Soil Potentially harmful elements Contamination Kriging interpolation Risk assessment Wind direction

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小尺寸实验烟气浓度分布的影响因素

黄锐,杨立中,冯文兴,方廷勇,范维澄

《中国工程科学》 2003年第5卷第8期页码 54-58

摘要：

通过多组小尺寸实验多点离散测量烟气成分，对有限的实验数据做Lagrange插值分析，得到相同时刻烟气浓度在不同位置的变化规律以及烟气浓度场随时间的分布。考虑燃烧实验存在随机因素影响，提出用某一组分的质量分数相对值来比较不同实验数据所体现的规律，结果表明烟气浓度沿通道的一维分布受可燃物质量与流通开口高度影响较大。

关键词：烟气二维插值多点测量

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基于切换系统建模的倾转旋翼机过渡模式光滑跟踪控制 Research Article

罗苛比,史爽,彭聪

《信息与电子工程前沿（英文）》 2023年第24卷第11期页码 1591-1600 doi: 10.1631/FITEE.2300266

摘要：本文使用切换建模和光滑插值技术，研究倾转旋翼机过渡模式的状态跟踪控制问题。基于过渡模式的非线性动力学模型，采用Jacobi线性化方法，并根据倾转角设计切换信号，建立线性切换系统模型。在此基础上，设计H_∞状态跟踪控制方案解决过渡模式的控制问题。该方法不直接限制控制输入的幅值，而采用改进的光滑插值方法实现无扰切换。最后，以XV-15倾转旋翼机为例，验证该控制方案的有效性。

关键词：倾转旋翼机；状态跟踪控制；线性切换系统；类时间依赖的多Lyapunov函数方法；光滑插值

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一种时空权重和边缘自适应的扫描格式转换

丁勇,陆生礼,时龙兴

《中国工程科学》 2007年第9卷第10期页码 49-54

摘要：

为实现隔行扫描到逐行扫描的视频扫描格式转换，提出了一种时空权重和边缘自适应的去隔行算法，主要包括运动估计、小角度边缘搜索、时空权重计算、自适应插值等。该算法通过4场相邻像素的最大灰度变化与运动阈值比较实现对当前像素的运动估计，采用自适应搜索半径和并行搜索树的方法实现小角度边缘检测，并且增加对半像素边缘的考虑实现最小6°边缘的检测，最后通过时空权重自适应的插值算法实现去隔行处理，取得很好的处理效果。

关键词：扫描格式转换运动估计边缘搜索时空权重自适应插值去隔行

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适于低成本嵌入式硬件的2R-1C模型非迭代参数估计 Article

Mitar SIMIĆ, Zdenka BABIĆ, Vladimir RISOJEVIĆ, Goran M. STOJANOVIĆ

《信息与电子工程前沿（英文）》 2020年第21卷第3期页码 476-490 doi: 10.1631/FITEE.1900112

摘要： 2R-1C模型的参数估计常运用需要高性能处理单元的迭代方法，从而激励我们研究更省时且更节能的参数估计方法。这些低复杂度的算法将更适于便携式微机设备的运行。本文提出二次插值非迭代参数估计方法（QINIPE）；该方法基于测量阻抗虚部的二次插值，能够更精确地估计特征频率。运用一组封闭表达式从测量阻抗的实部和虚部计算2R-1C模型的参数。对仿真和测量获得的模型阻抗数据作对比分析；结果表明，相较于我们早前提出的非迭代参数估计方法（NIPE），QINIPE能减少80%测量点，且所有估计参数的相对估计误差低于1%。两种非迭代方法均基于一个微机设备实施；检测了估计精度、RAM、闪存使用以及运行时间。实验结果表明，相较于NIPE，QINIPE轻微增加了0.576 ms运行时间（约6.7%），且需要多24%（1.2 KB）闪存及多2.4%（32字节）RAM。然而，QINIPE的阻抗均方根误差分别降低至NIPE对应的42.8%（实部）和64.5%（虚部）。此外，比较了QINIPE和复杂非线性最小二乘法（CNLS）对2R-1C模型参数的估计。结果表明，虽然QINIPE估计精度稍低于CNLS，其依然适合许多实际应用，且运行时间降至原来的1/45至1/30。

关键词： 2R-1C模型；嵌入式系统；参数估计；非迭代方法；二次型

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标题作者时间类型操作

Fundamental frequency and testing mode of complicated elastic clamped-plate vibration

QI Hongyuan, GUAN Yiduo

期刊论文

Fractal characteristic evaluation and interpolation reconstruction for surface topography of drilled

期刊论文

A multiscale-contour-based interpolation framework for generating a time-varying quasi-dense point cloud

Chu-hua HUANG,Dong-ming LU,Chang-yu DIAO

期刊论文

Implementation of an adaptive feed speed 3D NURBS interpolation algorithm