基于改进Canny的激光主动成像图像边缘检测算法研究

针对传统Canny边缘检测算法存在的不足,结合激光主动成像末制导的实际特点,提出了一种改进的Canny边缘检测算法.该算法在Canny边缘检测算法的基础上,采用同态滤波和提升小波变换级联的方法代替传统的高斯滤波器;采用3×3邻域的权值梯度计算方法代替原有的2×2邻域差分运算;采用Otsu自适应阈值计算方法,使算法可根据图像自身特点选择最合适的阈值.实验证明:该算法提升了传统Canny算子的抗干扰能力和鲁棒性,能够较好地保存边缘信息,准确检测出激光主动成像图像的边缘,具有较强的自适应性.     

Hilbert空间中严格伪压缩映像的强收敛定理

给出了一种求解严格伪压缩非自身映像不动点集上变分不等式的迭代算法，并证明了其强收敛性。此结果推广了姚永红和T．H．Kim等的研究结果。最后，进一步将结论推广到求解有限个严格伪压缩非自身映像公共不动点集上的变分不等式。     

Spatial approaches to moons from resonance relative to invariant manifolds

In this study, the final approach to a moon or other body from resonance is explored and compared to the invariant manifolds of unstable periodic orbits. It is shown that the stable manifolds of planar Lyapunov orbits can act as a guide for the periods or resonances that are required for the final approach in both the planar and spatial problems. Previously developed techniques for the planar problem are expanded for use with resonances and used for comparison with trajectories approaching a moon from these resonances. A similar technique is then used for exploring the relationship of invariant manifolds to approach trajectories in the spatial problem. It is shown that the invariant manifolds of unstable periodic orbits provide insight into the trajectory design, and they can be used as a guide to the more direct approach trajectories.     

Dynamics of a spacecraft and normalization around Lagrangian points in the Neptune–Triton system

The problem of a spacecraft orbiting the Neptune–Triton system is presented. The new ingredients in this restricted three body problem are the Neptune oblateness and the high inclined and retrograde motion of Triton. First we present some interesting simulations showing the role played by the oblateness on a Neptune’s satellite, disturbed by Triton. We also give an extensive numerical exploration in the case when the spacecraft orbits Triton, considering Sun, Neptune and its planetary oblateness as disturbers. In the plane a × I (a = semi-major axis, I = inclination), we give a plot of the stable regions where the massless body can survive for thousand of years. Retrograde and direct orbits were considered and as usual, the region of stability is much more significant for the case of direct orbit of the spacecraft (Triton’s orbit is retrograde). Next we explore the dynamics in a vicinity of the Lagrangian points. The Birkhoff normalization is constructed around L₂, followed by its reduction to the center manifold. In this reduced dynamics, a convenient Poincaré section shows the interplay of the Lyapunov and halo periodic orbits, Lissajous and quasi-halo tori as well as the stable and unstable manifolds of the planar Lyapunov orbit. To show the effect of the oblateness, the planar Lyapunov family emanating from the Lagrangian points and three-dimensional halo orbits are obtained by the numerical continuation method.     

Investigations into sensing characteristics of circular thin-plate electrostatic sensors for gas path monitoring

Circular thin-plate electrostatic sensors are promising in gas path monitoring due to their advantages of non-intrusiveness and easy installation. The spatial sensitivity and filtering effect are two important performance parameters. In this paper, an analytically mathematical model of induced charge on a circular thin-plate electrode is first derived. Then the spatial sensitivity and filtering effect of the circular electrostatic sensor are investigated by numerical calculations. Finally,experimental studies are performed to testify the theoretical results. Both theoretical and experimental results demonstrate that circular thin-plate electrostatic sensors act as a low-pass filter in the spatial frequency domain, and both the spatial filtering effect and the temporal frequency response characteristics depend strongly on the spatial position and velocity of the charged particle. These conclusions can provide guidelines for the optimal design of circular thin-plate electrostatic sensors.     

固有模态函数（IMF）积检测器——以低信噪比情况下超宽带雷达信号检测为例

首次提出了一种固有模态函数积检测器。首先通过经验模式分解（EMD）把带噪信号分解成有限个固有模态函数（IMF）。检测的基本思路是，对各个IMF分量的绝对值作逐点乘积，用于抑制噪声并凸现信号，最后进行滤波和判决。本文以UWB信号为例，数据源于UWB雷达实验系统。在低信噪比（SNR），UWB脉冲与噪声波形相似，且噪声概率密度函数（PDF）未知情况下，进行实验。结果表明，当峰峰信噪比低于5dB时，该检测器性能优于Teager能量算子（TEO）。     

一种孔径和频率二维稀疏的步进频SAR成像方法

 步进频率信号(SFWs)在不增加雷达系统瞬时带宽的情况下能够获得高的距离向分辨率的同时,也存在着抗干扰能力较差及其等效重复频率较低的问题,并且在方位向积累时间内由于雷达载机工作状态的变化,会导致方位向的数据录取不完整。针对上述问题,提出一种孔径和频率二维稀疏的步进频合成孔径雷达(SAR)成像方法。首先,分析了稀疏步进频率信号(SSFWs)的SAR成像模型,然后基于压缩感知理论完成距离向成像处理。其次,针对稀疏孔径的回波数据,通过构造成像算子和压缩感知重建模型的方法实现其距离徙动校正和方位压缩处理,进而获得二维成像结果。相比于传统的步进频率信号SAR成像,利用所提方法能够在少量的频率资源和雷达回波数据情况下实现准确的SAR成像。最后,通过对仿真和实测的步进频率雷达数据进行成像处理,验证了所提方法的有效性和可行性。     

一种膨胀映射的不动点定理

王尚志给出了若干种膨胀映射的概念，并证明了它们的不动点存在定理。对其中第一型膨胀映射的不动点定理做了进一步推广。     

Influence of the gravitational vertical on geometric visual illusions

The occurrence of geometric orientation illusions and the perception of ambiguous figures were analyzed in 24 subjects during static body tilt relative to gravity on Earth. Results showed that illusions such as the Rock's diamond/square, the Ponzo illusion, and orientation contrast illusions occurred less frequently, and that depth reversal of ambiguous figures took more time when subjects were lying on their side or supine compared to upright, thus suggesting that the gravitational reference plays a significant role in these “visual” illusions. The structure of images, our representation of the environment, and orientation relative to gravity are all integral parts in interpreting visual images. In a weightless environment where no gravitational reference can be used, it is expected that similar alterations in visual perception will occur.     

基于单目视觉原理的空间位置测量技术研究

为了提升空间位置测量的自动化程度,采用单目视觉原理建立空间成像方程,将三维的空间坐标转换为两维的图像坐标,由此实现单目视觉的空间位置测量。本文推导了单目视觉定位的基本成像方程,对建立的定位装置,进行了实际定位实验,实现了预期的测量结果。基于视觉原理的空间位置测量技术,具有良好的推广应用价值。