INEQUALITIES FOR Lp-MIXED CURVATURE IMAGES

Lutwak, Yang, and Zhang posed the notion of Lp-curvature images and established several Lp analogs of the affne isoperimetric inequality. In this article, the notion of Lp-mixed curvature images is introduced, Lp-curvature images being a special case. The properties and Lp analogs of the affne isoperimetric inequality are established for Lp-mixed curvature images.     

L_p-混合质心体和对偶L_p-混合质心体

本文引进了L_p-混合质心体Γ_(p,i)K、对偶L_p-混合质心体Γ_(-p,i)K和R~n中星体K和L的L_p-混合调和Blaschke加K+_pL的概念,成功地解决了L_p-混合质心体和对偶L_p-混合质心体的Shephard型问题.并且结合星体的L_p-混合调和Blaschke加的概念,分别建立了L_p-混合质心体的均质积分和对偶均质积分的Brunn-Minkowski型不等式.所获结论推广了已有文献的结果.     

慢延伸指数函数中一个序列的理论分布测度

慢延伸指数函数的分项部分的序列是”理想”均匀分布的 .本文对这种”理想”均匀分布的偏离程度给出了一个数值估计 ,并把这一数值估计称为这个序列的理论分布测度 .     

LaFe1－xCrxO3系列氧化物的EXAFS研究

采用固相反应法, 制备了钙钛矿结构氧化物LaFe_1－xCr_xO₃较宽范围内(x=0.0—0.7)的系列单相样品, 并测量了各样品的X射线衍射谱(XRD)和扩展X射线吸收精细结构(EXAFS)谱. 通过对XRD的分析样品均为钙钛矿结构正交相, 同时晶格常数随着掺杂量x的增加而减小. 通过对EXAFS的分析和研究得到在LaFe_1－xCr_xO₃氧化物中Fe-O键长和Fe-La键长随掺杂浓度x的变化, 发现Fe-La键长发生比较大的变化, 说明La在体系掺杂中对结构的稳定起到重要作用.     

Approximation by generalized MKZ-operators in polynomial weighted spaces

We prove some approximation properties of generalized Meyer-Konig and Zeller operators for differentiable functions in polynomial weighted spaces. The results extend some results proved in [1-3,7-16].     

Refocusing and locating effect of fluorescence scattering field

Optical imaging deep inside scattering medium has always been one of the challenges in the field of bioimaging, which significantly drawbacks the employment of con-focal microscopy system. Although a variety of feedback techniques, such as acoustic or nonlinear fluorescence-based schemes have realized the refocusing of the coherent light, the problems of non-invasively refocusing and locating of linearly-excited fluorescent beads inside the scattering medium have not been thoroughly explored. In this paper, we linearly excited the fluorescent beads inside a scattering medium by using our homemade optical con-focal system, collected the fluorescence scattering light as the optimized target, and established a theoretical model of target contrast enhancement, which is consistent with the experimental data. By improving both the cost function and variation rate within the genetic algorithm, we could refocus the fluorescence scattering field while improving the contrast enhancement factor to 12.8 dB. Then, the positions of the fluorescent beads are reconstructed by sub-pixel accuracy centroid localization algorithm, and the corresponding error is no more than 4.2 μ with several fluorescent beads within the field of view. Finally, the main factors such as the number of fluorescent beads, the thickness of the scattering medium, the modulating parameter, the experimental noise and the system long-term stability are analyzed and discussed in detail. This study proves the feasibility of reconstructing fluorescent labeled cells inside biological tissues, which provides certain reference value for deep imaging of biological tissues.     

夏克-哈特曼波前传感器的波前相位探测误差

对夏克－哈特曼（Ｓｈａｃｋ－Ｈａｒｔｍａｎｎ）波前传感器的相位探测误差进行了分析,并分析了它的政论相位探测极限,分析结果表明,夏克－哈特曼波前传感器的相位探测精度与探测器的噪声水平,探测目标的亮度有关,还与被探测对象的特性、孔径波前分割有关。给出了它们的关系表达式。     

哈特曼-夏克波前传感器子孔径合并的理论研究

在大气湍流条件较好而被探测信标光信号极弱的工作条件下,自适应光学系统在实际的应用中需要采用子孔径合并的部分校正方式。本文针对云南天文台1.2m高分辨率自适应光学系统中的哈特曼－夏克（Hartmann-Shack ）波前传感器结构,从光子起伏噪声和CCD像素读出噪声对子孔径内哈特曼光斑质心探测精度的影响的角度,对子也径软件合并和硬件合并两种方案进行了理论分析和计算,导出了有实际应用意义的结论。     

白光扫描干涉测量算法综述

白光扫描干涉测量是光学测量中一种非常重要的方法。在干涉仪的结构、光源的光谱宽度以及扫描步长一定的情况下,选择合适的算法对干涉信号进行处理能够达到更高的测量精度。对重心法、移相法、包络曲线拟合法以及空间频域算法分别加以介绍和比较,为白光干涉信号的算法选取提供了一份详尽的参考。