CT辐射量降低和投影数目研究

改进CT技术的最终目标是用较低的辐射剂量重建出更高质量的图像以降低患癌症的风险.近年来受压缩感知理论的启发,减少投影角度重建一直是减少辐射量的一个热门课题.但是,当辐射剂量固定,减少投影角度并不总是意味着更好的图像质量.本文研究固定辐射剂量下图像质量和扫描角度数目的关系.数值实验表明对于固定的辐射剂量,起初图像质量随着扫描角度数目的增加而提高,但是当扫描角度数目足够大之后图像质量反而下降了.在等角全扫描模式下,对于我们测试的辐射剂量和图像,产生最佳图像质量的最佳扫描角度数目是300,这对于实际的应用具有借鉴意义.     

An Automatic Method of Direct Interpretation of Residual Gravity Anomaly Profiles due to Spheres and Cylinders

We have developed a least-squares minimization approach to determine the depth and the amplitude coefficient of a buried structure from residual gravity anomaly profile. This approach is basically based on application of Werner deconvolution method to gravity formulas due to spheres and cylinders, and solving a set of algebraic linear equations to estimate the two-model parameters. The validity of this new method is demonstrated through studying and analyzing two synthetic gravity anomalies, using simulated data generated from a known model with different random error components and a known statistical distribution. After being theoretically proven, this approach was applied on two real field gravity anomalies from Cuba and Sweden. The agreement between the results obtained by the proposed method and those obtained by other interpretation methods is good and comparable. Moreover, the depth obtained by the proposed approach is found to be in very good agreement with that obtained from drilling information.     

完备格上的表现定理及其应用

在完备格的条件下讨论了Ｌ集合套的性质,给出了表现定理,最后指出了表现定理在ＬＦ代数理论中的应用。     

Splatting算法在三维CT迭代算法中的应用

采用代数重建技术重建三维物体,提出了一种基于splatting原理的ART权值计算方法,以增强重建图像的空间分辨率.该算法基于三维锥束扫描方式,采用双三次样条局部基函数作为插值核,并利用其足印函数对物体进行插值来计算像素的权值.与常量插值相比,这种方法对物体的灰度值有更精确的近似,在相同的实验条件下可重建出分辨率高的物体.给出了适用于三维锥束重建的splatting算法的具体实现,并对实验数据进行了实物重建及误差分析.     

A PRELIMINARY STUDY ON THE 3DVAR ASSIMILATION OF THE AMSU-A DATA IN SPACE-TIME MULTISCALE ANALYSIS SYSTEM

Assimilating satellite radiances into Numerical Weather Prediction (NWP) models has become an important approach to increase the accuracy of numerical weather forecasting. In this study, the assimilation technique scheme was employed in NOAA’s STMAS (Space-Time Multiscale Analysis System) to assimilate AMSU-A radiances data. Channel selection sensitivity experiments were conducted on assimilated satellite data in the first place. Then, real case analysis of AMSU-A data assimilation was performed. The analysis results showed that, following assimilating of AMSU-A channels 5–11 in STMAS, the objective function quickly converged, and the channel vertical response was consistent with the AMSU-A weighting function distribution, which suggests that the channels can be used in the assimilation of satellite data in STMAS. With the case of the Typhoon Morakot in Taiwan Island in August 2009 as an example, experiments on assimilated and unassimilated AMSU-A radiances data were designed to analyze the impact of the assimilation of satellite data on STMAS. The results demonstrated that assimilation of AMSU-A data provided more accurate prediction of the precipitation region and intensity, and especially, it improved the 0–6h precipitation forecast significantly.     

具有给定超越整函数解的微分方程的唯一性

设n≥1为给定的某个自然数,pi(z)(i=1,2,3,4)是不恒为0的多项式,f(z)是1个超越整函数。如果f(z)是如下形式p1(z)[f(n)(z)]2 p2(z)f(n)(z)f(n-1)(z) p3(z)[f(n-1)(z)]2 p4(z)=0代数微分方程的解,证明如上的微分方程形式具有某种唯一性,即多项式pi(z)(i=1,2,3,4)是唯一确定的。     

一类模糊变换及其应用(英文)

本文定义了从X到Y的模糊变换σ_(g·f)和从Y到X的模糊变换σ_(g·f)~(-1)。当g(λ)=λ时这种变换便是查德提出的变换,即扩展原理。此外,还讨论了此变换的性质;指出其在代数系的同态,尤其是群同态方面的应用。并给出有关变换的唯一确定性定理。     

Integrating algebraic multigrid method in spatial aggregation of massive trajectory data

The advanced technologies in location-based services and telecom have yield large volumes of trajectory data. Understanding these data effectively requires intuitive yet accurate visual analysis. The visual analysis of massive trajectory data is challenged by the numerous interactions among different locations, which cause massive clutter. This paper presents a new methodology for visual analysis by integrating algebraic multigrid (AMG) method in data aggregation. The non-parametric method helps to build a multi-layer node representation from a graph which is extracted from trajectory data. The comparison with AMG and other methods shows that AMG method is more advanced in both the spatial representation and the importance of nodes. The new method is tested with real-world dataset of cell-phone signalling records in Beijing. The results show that our method is suitable for processing and creating abstraction of massive trajectory dataset, revealing inherent patterns and creating intuitive and vivid flow maps.     

On the coalescence of twisted flux tubes

Abstract

We study the problem of the coalescence of twisted flux tubes by assuming that the azimuthal field lines reconnect at a current sheet during the coalescence process and everywhere else the magnetic field is frozen in the fluid. We derive relations connecting the topology of the coalesced flux tube with the topologies of the initial flux tubes, and then obtain a structure equation for calculating the field configuration of the coalesced flux tube from the given topology. Some solutions for the two extreme cases of low-β plasma and high-β plasma are discussed. The coalesced flux tube has less twist than the initial flux tube. Magnetic helicity is found to be exactly conserved during the coalescence, but the assumptions in the model put a constraint on the energy dissipation so that we do not get a relaxation to the minimum-energy Taylor state in the low-β case. It is pointed out that the structure equation connecting the topology and the equilibrium configuration is quite general and can be of use in many two-dimensional flux tube problems.     

3个代数曲面的高光滑拼接

利用计算机代数方法，讨论3个代数曲面的高光滑拼接，并将其转化为求解齐次线性方程组的问题，从而给出3个代数曲面GC^2拼接的条件．在数学软件的辅助下，给出具体实例．