曲线的副法线曲面及其性质研究

通过类比一般空间曲线、曲面的研究方法,讨论了三维欧氏空间中曲线的副法线曲面,给出了副法线曲面的渐近线和曲率线;再由高斯曲率、平均曲率,得到了副法线曲面上常高斯曲率曲线、极小轨迹;最后,利用高斯曲率和平均曲率之间的线性关系和平方关系,得到了副法线曲面的分类定理。     

互信息在图像检索中的应用简

基于互信息的图像检索方法是根据图像的可视性及相似性测度对图像进行检索的方法．首先利用互信息生成一种在统计上有代表性的视觉模式,使用这种模式的分布作为图像内容的描述符;接着利用该内容的描述,设计其互信息的计算方法以衡量图像的相似性．实验结果表明,在图像检索中,相对于其他如KL散度和也规范等方法,互信息是一种更为有效的衡量相似性的方法．     

关于构造多元高斯过程协相关函数的一个注记

给出一个简单但较广的构造多响应相依高斯过程协相关函数的方法. 该方法仅依赖已有的单响应高斯过程的协相关函数. 给出了该方法在计算机实验数据建模中的一些应用.     

强度高斯分布对四态叠加多模泛函叠加光场和压缩特性的影响

构造了由多模泛函相干态、多模复共轭泛函相干态以及它们的相反态等几率线性叠加构成的多模泛函叠加态光场｜Ψ。^（4）（fj）〉q利用多模压缩态理论，研究了态｜Ψ。^（4）（fj）〉q的等幂次和压缩特性，发现：当腔模总数与压缩次数之积为奇数时，两正交相位分量可呈现互补对称的等幂次和压缩效应，其压缩程度、压缩深度与各模的经典强度和经典相位的空间分布函数等强烈地非线性关联．进一步研究发现，对由经典强度为厄米高斯分布的四个三模光场构成的态｜Ψ。^（4）（fj）〉q，只有第二正交相位分量呈现和压缩效应．     

Representing the retinal line spread shape with mathematical functions

Objective: To report a mathematical function that characterizes the double-pass line spread function (LSF) of the human eye. Determining analytical functions that represent the double-pass LSF is important because it allows modeling the optical performance of the eye. Methods: Optical section retinal images, generated in normal human eyes using a modified slit-lamp biomicroscope, were analyzed to derive the double-pass LSF by plotting the intensity distribution of laser light reflected/ scattered from the vitreoretinal interface. Three mathematical functions (Lorentzian, Gaussian, exponential) were fitted to the double-pass LSF and the root mean square error (RMSE) was calculated to provide a measure of the goodness of fit. Results: The Lorentzian function provided the best representation of the double-pass LSF of normal human eyes. The full width at half maximum (FWHM) of the Lorentzian fitted curve was positively correlated with age, indicating that the double-pass LSF broadens with age. Furthermore, the goodness of fit of the Lorentzian function was significantly better in younger subjects as compared with older subjects, suggesting that the fitted function to the double-pass LSF may vary according to age. Conclusion: The results demonstrate an age-related change in the double-pass LSF width and the goodness of fit of the Lorentzian function.     

高斯光束辐照下光学薄膜基底温度场有限元分析

基于热传导方程,利用有限元分析方法,利用MSC．Marc有限元软件建立了激光辐照下光学薄膜基底温度场的三维模型,研究了光学薄膜基底在高斯光束辐照下的温度场分布,并进行了分析。     

高斯光束微圆孔衍射变换的数值仿真实验

高斯光束的微圆孔衍射变换在微光学、激光技术以及微光机电技术中发挥着基础性作用,通过数值计算模拟实验可以对它进行研究与探索。由菲涅尔-基尔霍夫衍射公式得到单色点源平面屏衍射的积分式,类推得到高斯光束圆孔衍射的积分式,并给出这一积分式的一种数值计算方法。利用Matlab软件进行了高斯光束微圆孔衍射变换的数值仿真实验研究,这有助于激光束的实际衍射实验及其测控理论与技术的研究以及光学教学的改革。     

高斯光腔中部分相干光频谱演化特性的矩阵分析

利用部分相干光的张量ABCD定律，采用解析的方法研究了部分相干的非轴对称高斯-谢尔模（GSM）光束在高斯型光腔内的频谱演化特性，结果表明非轴对称GSM光束的相对频移与振荡的次数以度光腔的参数有关．解析的分析方法避免了已往处理部分相干光频谱演化时采用数值积分所带来的计算冗长的问题，并且适用于任意的傍轴光学系统．     

Gaussian particle filter based pose and motion estimation

Determination of relative three-dimensional (3D) position, orientation, and relative motion between two reference frames is an important problem in robotic guidance, manipulation, and assembly as well as in other fields such as photogrammetry. A solution to pose and motion estimation problem that uses two-dimensional (2D) intensity images from a single camera is de- sirable for real-time applications. The difficulty in performing this measurement is that the process of projecting 3D object features to 2D images is a nonlinear transformation. In this paper, the 3D transformation is modeled as a nonlinear stochastic system with the state estimation providing six degrees-of-freedom motion and position values, using line features in image plane as measuring inputs and dual quaternion to represent both rotation and translation in a unified notation. A filtering method called the Gaussian particle filter (GPF) based on the particle filtering concept is presented for 3D pose and motion estimation of a moving target from monocular image sequences. The method has been implemented with simulated data, and simulation results are provided along with comparisons to the extended Kalman filter (EKF) and the unscented Kalman filter (UKF) to show the relative advantages of the GPF. Simulation results showed that GPF is a superior alternative to EKF and UKF.     

高斯波包在圆极化光中的原子反转

先导出原子反转的一般表达式 ,然后讨论高斯波包在圆极化光中的原子反转 ,最后得出对于任意原子波包原子反转是随时间衰减的结论