NON-UNIQUENESS OF THE RECONSTRUCTION FOR CONNECTED AND SIMPLY CONNECTED SETS IN THE PLANE BY THEIR FIXED FINITE PROJECTIONS

We discuss a problem to reconstruct the measurable sets in the plane from their fixed finite projections. In the main theorem, we construct an example of connected and simply connected polygons which are not uniquely reconstructed by their fixed finite projections. We also make a comparison between our main theorem and the known results on this problem.     

基于可见-近红外光谱技术的水稻穗颈瘟染病程度分级方法研究

采用Vis-NIR技术对水稻穗颈瘟染病程度分级方法进行了研究。分别基于原始光谱,变量标准化(SNV)预处理后和多元散射校正(MSC)预处理后的光谱,应用无信息变量消除法(UVE)结合连续投影算法(SPA)对Vis-NIR光谱区进行有效波长的选择。选择后的波长作为输入变量建立最小二乘-支持向量机(LS-SVM)模型。结果表明SNV-UVE-SPA建立的LS-SVM模型预测效果最好。通过SNV-UVE-SPA从全波段600个波长中选择了6个最能够反应光谱信息的波长(459, 546, 569, 590, 775和981 nm)。SNV-UVE-SPA-LS-SVM组合模型对预测集样本预测得到的确定系数(R2_p),预测集的预测标准差(RMSEP)和剩余预测偏差(RPD)分别达到了0.979,0.507和6.580。结果表明,采用Vis-NIR光谱技术对水稻穗颈瘟染病程度进行分级是可行的。通过UVE-SPA得到的有效波长能够很好地代替全波长。     

Radon Emanation in Partially Saturated Porous Media

Radon emanation which is the fraction of radon-222 atoms released in the connected pore space of a porous material, increases when the water content increases because of the low recoil range of this atom in water compared with air. This complex phenomenon is studied using reconstructed porous media and random packings where the phase distribution is obtained by a lattice Boltzmann technique incorporating interfacial tension and wetting. The influence of the pore structure, of the recoil range and of saturation, is systematically studied. The numerical results are in good agreement with data from uranium mine tailings.     

Solution of two-dimensional scattering problem in piezoelectric/piezomagnetic media using a polarization method

Using a polarization method, the scattering problem for a two-dimensional inclusion embedded in infinite piezoelectric/piezomagnetic matrices is investigated. To achieve the purpose, the polarization method for a two-dimensional piezoelectric/piezo-magnetic "comparison body" is formulated. For simple harmonic motion, kernel of the polarization method reduces to a 2-D time-harmonic Green's function, which is ob-tained using the Radon transform. The expression is further simplified under condi-tions of low frequency of the incident wave and small diameter of the inclusion. Some analytical expressions are obtained. The analytical solutions for generalized piezoelec-tric/piezomagnetic anisotropic composites are given followed by simplified results for piezoelectric composites. Based on the latter results, two numerical results are provided for an elliptical cylindrical inclusion in a PZT-5H-matrix, showing the effect of different factors including size, shape, material properties, and piezoelectricity on the scattering cross-section.     

On the theory of divergence-measure fields and its applications

Divergence-measure fields are extended vector fields, including vector fields inL ^p and vector-valued Radon measures, whose divergences are Radon measures. Such fields arise naturally in the study of entropy solutions of nonlinear conservation laws and other areas. In this paper, a theory of divergence-measure fields is presented and analyzed, in which normal traces, a generalized Gauss-Green theorem, and product rules, among others, are established. Some applications of this theory to several nonlinear problems in conservation laws and related areas are discussed. In particular, with the aid of this theory, we prove the stability of Riemann solutions, which may contain rarefaction waves, contact discontinuities, and/or vacuum states, in the class of entropy solutions of the Euler equations for gas dynamics.Dedicated to Constantine Dafermos on his 60^th birthday     

Monte Carlo simulation of radon SSNT detectors

A Monte Carlo based software for the computation of the sensitivity of etched radon track detectors was developed. It can be applied to the measurement of radon and radon daughters in free air or inside of a measurement chamber. LR 115 and CR-39 detectors, with or without an attenuator, are specifically addressed. Various etching conditions and observation criteria for counting the track density may be specified. The latent track formation and the etching process are realistically modelled. The dependence of the etch-rate ratio on the energy is taken into account. The plate-out phenomenon is included in the model. An inhomogeneous source distribution in the detector cup can be considered.     

Personal dosimetry and area monitoring for neutrons and radon in workplaces

The first successful applications of damage track detectors in radiation protection have been made in the early 1970s in personal dosimetry of neutrons, radon and its progenies. Most of the scientists actively engaged in the solution of the complex problem of personal neutron dosimetry by damage track detectors—SSNTD, have attempted to develop individual radon monitoring for exposure in mines by using the same SSNTDs. In late 1970s and the early 1980s, new radon monitoring devices based on SSNTDs have been developed to measure radon in soil, mainly for applications in uranium prospecting or more generally in earth sciences. Most of the radon monitors, developed since then for completely different applications in mind, have been used later for large scale survey of indoor radon. With the current implementation within Europe of the European Union Directive 96/29, applications of damage track detectors will increase drastically, specially for the assessment of the exposure of the workers to natural sources of radiation. In this case, the early work on personal neutron/radon dosimetry, is highly valuable to tackle these new problems of individual monitoring.     

电弧等离子体温度场中Abel逆变换的数值算法分析

针对电弧等离子体温度场分析中Abel逆变换的计算,提出了3种数值解法:三次样条插值法、Radon逆变换法以及离散数据曲线拟合法.通过对单峰、双峰型函数的验证,分析了3种方法各自的特点,得到这3种方法在精度、程序实现性以及积分奇异点处理等方面的比较,指出了在不同实际温度场分析计算中3种方法各自的优势.     

The application of laser reflective tomography in near-field measurements of ultrasonic transducers

With Laser Reflective Tomography（LRT）,the near fields of ultrasonic transducers were measured and analyzed.The principle of LRT measurement of ultrasonic field distribution was introduced and an experimental system was set up.Acoustic pressure of a multiple element piston transducer was measured by using of a laser vibrometer.Its distribution in amplitude and phase was obtained.The acoustic pressure in the same region was measured with a needle hydrophone to validate the LRT method.Furthermore,through reconstruction of acoustic fields,it indicated that LRT method is suitable for predicting the distribution on transducers＇surface and conditions of active elements.     

高光谱成像技术的油菜叶片氮含量及分布快速检测

应用高光谱成像技术实现了油菜苗-花-角果整个生命期叶片氮含量的快速检测和氮素水平分布的可视化。采集三个生长时期共计420个叶片样本的高光谱图像信息(380～1 030 nm),提取图像中感兴趣区域的平均光谱数据,经过不同光谱预处理后,利用连续投影算法(SPA)选择特征波长,将提取的12个特征波长(467,557,665,686,706,752,874,879,886,900,978和995 nm)作为自变量,叶片氮含量作为因变量,分别建立偏最小二乘法(PLS)和最小二乘-支持向量机(LS-SVM)模型。SPA-PLS和SPA-LS-SVM模型对叶片氮含量的预测相关系数R_P分别为0.807和0.836,预测均方根误差RMSEP分别为0.387和0.358。高光谱图像中的每一个像素点都有对应的光谱反射值,利用结构简单、更易提取回归系数的SPA-PLS模型,快速计算出12个特征波长下高光谱图像中每个像素点对应的氮含量预测值,结合像素点的空间位置生成氮素浓度的叶面分布图。可视化分布图详细且直观的反应出同一叶片内部或不同叶片之间氮含量的差异。结果表明,应用高光谱成像技术分析整个油菜生长期的叶片氮含量及其可视化分布是可行的。