基于热传导模型的像素级遥感图像融合

通过热传导方程给出了一种像素级遥感图像融合模型和方法：1)给出了空间域内高分辨率图像与低分辨率图像之间的扩散关系,作为特例得到了Brovey变换(Brovey Transform,BT);2)给出了图像融合与增强的统一表达式并得到基于亮度平衡的融合方法;3)低分辨率多光谱图像的方差较小情形,指出基于方差的标准图像融合方法将会丢失高空间分辨率全色图像信息。实验表明,除了图像量化误差以外,所提议的方法不会丢失已知图像的空间分辨率和波谱信息。     

直线与缓和曲线斜交的直接解算法

本文提出了缓和曲线的拟合圆弧的概念,首先确定直线与拟合圆弧的交点,将拟合圆弧的交点桩号作为直线与缓和曲线交点的初始桩号,算出其中桩坐标与走向方位角,再由初始交点向直线作垂线算出初始桩号的改正数,实现了交点桩号的直接解算。     

五维波动问题的一种解法

介绍解五维波动问题的微分算子级数法,首先引进数性算子概念及微分算子级数法;其次,推导出了求解公式;最后通过求解公式求解了一些五维波动方程的例题,得出任何维数(n≥5)的波动方程柯西问题都可以用微分算子级数法求其解。     

关于一类微分方程的极限环问题

本文主要研究一个从实际问题中提出的非线性微分方程模型、完整地解决了该模型极限环的存在唯一性以及不存在性问题、并对所得结果给出了实际解释。     

常系数非齐次微分方程特解的算子解法和注释

本文对常系数非齐次微分方程特解的算子解法进行了比较系统地论证和归纳,并对某些问题作了必要的注释。     

一种基于各向异性扩散的心室超声图像滤波方法

研究了各向异性扩散方程在心室超声图像去噪中的应用.首先对P-M各向异性扩散模型进行了分析,为了更好去除噪声并保留图像的边缘等重要信息,提出对扩散系数的改进方法,并通过实验证明可达到更好的去噪效果.     

On the clustering phase transition in self-gravitating N-body systems

The thermodynamic behaviour of self-gravitating N -body systems has been worked out by borrowing a standard method from molecular dynamics. The link between dynamics and thermodynamics is made in the microcanonical ensemble of statistical mechanics. Through the computation of basic thermodynamic observables and of the equation of state in the     plane, the clustering phase transition appears to be of the second-order type. The dynamical–microcanonical averages are compared with their corresponding canonical ensemble averages, obtained through standard Monte Carlo computations. The latter seem to have completely lost any information about the phase transition. Finally, our results – obtained in a 'microscopic' framework – are compared with some existing theoretical predictions – obtained in a 'macroscopic' (thermodynamic) framework: qualitative and quantitative agreement is found, with an interesting exception.     

The Offset-Domain Prestack Depth Migration with Optimal Separable Approximation

The offset-domain prestack depth migration with optimal separable approximation, based on the double square root equation, is used to image complex media with large and rapid velocity variations. The method downward continues the source and the receiver wavefields simultaneously. The mixed domain algorithm with forward Fourier and inverse Fourier transform is used to construct the double square root equation wavefield extrapolation operator. This operator separates variables in the wave number domain and variables in the space domain. The phase operation is implemented in the wave number domain, whereas the time delay for lateral velocity variation is corrected in the space domain. The migration algorithm is efficient since the seismic data are not computed shot by shot. The data set test of the Marmousi model indicates that the offset-domain migration provides a satisfied seismic migration section on which complex geologic structures are imaged in media with large and rapid lateral velocity variations.