基于空间曲面拟合的自适应阈值选取方法

提出了一种基于空间多项式曲面拟合的自适应阈值选取方法，该方法初步考虑了图像上空间目标、背景及像素的空间分布特征，拟合了图像及其空间分布结构。     

初论双三次数值模式

讨论在数学Rn空间里,存在孔斯双三次曲面拟合的可能数值模式(以下称双三次数值模式)。双三次数值模式特点是,在诊断上对天气系统中的由各个物理定律表述的(离散点)大气物理量场,可通过数学三次样条函数做双三次曲面拟合,则模式大气(包括天气系统)的各个物理量场均达到二阶可导,即是大气运动方程中的各个物理量场都存在各自的一、二阶空间微商,从而可以对模式大气与天气系统做时间积分。与有限差分模式和谱模式存在所谓的空间截断误差和波数截断误差相比较,双三次数值模式存在所谓的空间拟合误差,恰是现行有限差分模式空间截断误差的高阶小量。而双三次数值模式具有谱模式准确计算空间微商的优点,且双三次数值模式的数学构架能够较好地适应大气运动动力框架,是可与有限差分模式和谱模式相比较的另一数值分析新算法的气象数值模式。     

全球资料同化中误差协方差三维结构的准确估计与应用Ⅰ:观测空间协方差的准确估计

观测误差与背景误差协方差在四维资料同化和业务资料分析系统中起到决定性作用,它决定着观测信息与背景初猜值信息的相对重要性以及这些信息在空间及不同变量间的扩展方式。由于实际大气的真值并不知道,需要发展不同的技巧来估计观测误差与背景误差协方差,其中在观测空间利用观测与背景初猜值之差来分离观测误差与背景误差协方差的方法估计出的结果较为准确,其估计出的观测误差可直接用于资料分析系统中,背景误差可作为标尺来度量其他方法估计结果的可靠性。文章采用国家气象中心T213L31全球中期分析预报系统的6 h预报作为背景初猜场及同时段冬夏两个季节的北半球探空,利用贝塞尔函数拟合方法来分离观测误差与背景误差协方差,并比较了东亚区、北美区、欧洲区3个探空资料均匀密集区的区域与季节变化结果。结果表明,观测空间拟合方法所要求的水平均质、各向同性在欧洲区和北美区成立程度较好,在东亚区略差,使用时需要斟酌。此外均方差区域间差别较大,在冬季明显大于夏季,温度场偏大0.2 K,风场偏大0.9 m/s。温度场在400 hPa以下与150 hPa以上,背景误差略小于观测误差,而在200—300 hPa,背景误差略大一些。风场的特点与温度场比较一致。温度与风场背景误差主要集中在前40波,并在20波左右达到最大,水平相关季节区域差别不大,而温度垂直相关比风场窄,两者相关范围比较大的波数主要集中在前20波。此外利用贝塞尔函数拟合方法获得结果的分析表明,在质量场中不同区域季节间温度误差的稳定性要明显好于高度场,涡度散度的稳定性要明显好于流函数和势函数,特别是对于特征长度更为明显。这表明利用贝塞尔函数拟合方法获得的结果对校准在全球资料同化中采用温度、涡度散度作为资料同化的分析变量具有一定的优势。     

Artificial ground motion compatible with specified peak velocity and target spectrum

In this paper, a method, which synthesizes the artificial ground motion compatible with the specified peak velocity as well as the target acceleration response spectrum, was proposed. In this method, firstly, an initial acceleration time history α8^（0） （t）, which satisfies the prescribed peak ground acceleration, the target spectral acceleration ST（ω, ζ）,and the specified intensity envelope, is generated by the traditional method that generates the requency domain; secondly,α8^（0） （t）is further modulated by superimposing narrow-band time histories upon it in the time domain to make its peak velocity, approach the target peak ground velocity, and at the same time to improve its fitting precision to the target spectrum. Numerical examples show that this algorithm boasts high calculation precisions.     

Mathematical expressions used in amino acid racemisation geochronology—A review

A variety of mathematical expressions that describe changes over time (t) in the extent of amino acid racemisation (AAR, expressed as the ratio of d- to l-amino acid isomers or epimers) have been used in Quaternary geochronology. The integrated rate equation was first used to estimate fossil age from D/L but its geochronological utility is disadvantaged by uncertainties regarding the conformity of AAR in fossil protein to apparent reversible first-order kinetics for the entire reaction history. ‘Non-linear’ models have subsequently been used to relate D/L to t. The logarithmic equation successfully applied to Atlantic Coastal Plain research has not achieved widespread application, perhaps due to the regional calibration required if sensitivity to temperature is to be modelled, or the difficulties encountered when extending the model to include fossils with D/L<0.1. Success producing a linear correlation between D/L transformed with a power function and t has seen this approach emerge as one of the most commonly applied in AAR geochronology in recent years. Like parabola curve fitting, which has been applied to trends in D/L versus t in a variety of fossils and geographic settings, power transformations may not be suitable for geochronological modelling during the latter stages of amino acid diagenesis. Several studies have demonstrated the utility of simple and contingent linear equations for relating D/L to t. Future research should aim to reduce reliance on independent calibration and explore the geochronological benefits of AAR in pools other than the total hydrolysable amino acids.     

A six-step practical approach to semivariogram modeling

Geostatistical prediction and simulation are being increasingly used in the earth sciences and engineering to address the imperfect knowledge of attributes that fluctuate over large areas or volumes—pollutant concentration, electromagnetic fields, porosity, thickness of a geological formation. Central to the application of such techniques is the need to know the spatial continuity, knowledge that is commonly condensed in the form of covariance or semivariogram models. Their preparation is subdivided here into the following steps: (1) Data editing, (2) Exploratory data analysis, (3) Semivariogram estimation, (4) Directional investigation, (5) Simple modeling, (6) Nested modeling. I illustrate these stages practically with a real data set from a geophysical survey from Elk County, Kansas, USA. The applicability of the approach is not limited by the physical nature of the attribute of interest.     

两种GPS水准综合模型的比较研究

给出了GPS水准拟合中的加权综合模型和混合拟合模型,通过某测区的GPS水准数据对该两种综合模型和几种单一模型进行了计算和比较分析,结果表明综合模型逼近高程异常的精度和可靠性均高于单一模型,并且混合拟合模型比加权综合模型理论上更为合理。     

地震序列较强余震最小二乘拟合预测的方法研究

本研究给出了针对地震序列较强余震发生时间进行快速预测的一种方法,即最小二乘拟合预测方法.该方法包括:最小二乘拟合预测模型的建立、预测模型的各种可信性检验及模型预测等内容.震例研究表明,该方法在大(强)地震现场震情分析中可望发挥积极作用.     

曲线拟合在核探测器信号幅度提取中的应用

研究数字化核探测器输出脉冲信号的幅度提取问题。根据闪烁探测器的电路特性，推导了其脉冲信号理想曲线方程。综合利用三和值法、最小二乘法、试探法等方法，设计了该理想曲线拟合算法。由脉冲信号采样点数据，通过曲线拟合，计算出曲线的极大值，该值即为闪烁探测器输出脉冲信号的幅度。正反演数据结果对比表明，采用曲线拟合算法提取闪烁探测器输出脉冲信号幅度，其方案可行，计算结果更准确。相较于数字滤波和数字脉冲成形方法提取核探测器输出脉冲幅度，该算法更简单，对仪器的硬件处理速度要求更低。该方法开辟了核探测器脉冲幅度提取的新途径。     

一种深度图像拟合圆柱的优化方法

圆柱状构件广泛存在于古建筑仿真中,为了提高古建筑深度图像圆柱拟合的精度,针对古建筑仿真3维建模的特点,提出基于高斯图获取圆柱拟合参数初始值,然后利用圆柱距离函数参数化法进行非线性最小二乘拟合的圆柱拟合方法。实验证明,该方法不仅具有较高的精度,而且拟合结果稳定可靠。