Iterated monoidal categories

We develop a notion of an n-fold monoidal category and show that it corresponds in a precise way to the notion of an n-fold loop space. Specifically, the group completion of the nerve of such a category is an n-fold loop space, and free n-fold monoidal categories give rise to a finite simplicial operad of the same homotopy type as the classical little cubes operad used to parametrize the higher H-space structure of an n-fold loop space. We also show directly that this operad has the same homotopy type as the n-th Smith filtration of the Barratt-Eccles operad and the n-th filtration of Berger's complete graph operad. Moreover, this operad contains an equivalent preoperad which gives rise to Milgram's small model for image/1-s2.0-S0001870803000653-si1.gif"> when n=2 and is very closely related to Milgram's model of image/1-s2.0-S0001870803000653-si2.gif"> for n>2.     

On the commutator of the Marcinkiewicz integral

image/1-s2.0-S0022247X02004985-si1.gif"> boundedness is considered for the commutator of higher-dimensional Marcinkiewicz integral. Some conditions implying the image/1-s2.0-S0022247X02004985-si2.gif"> and the image/1-s2.0-S0022247X02004985-si3.gif"> boundedness for the commutator of the Marcinkiewicz integral are obtained.     

Processing of Spectropolarization Video Images

This paper considers the possibilities and results of using spectropolarization video photography of scenes for discriminating artificial and natural objects. A number of new methods for processing spectropolarization video images are proposed.     

Convexity of Nonlinear Image of a Small Ball with Applications to Optimization

Let f: XY be a nonlinear differentiable map, X,Y are Hilbert spaces, B(a,r) is a ball in X with a center a and radius r. Suppose f (x) is Lipschitz in B(a,r) with Lipschitz constant L and f (a) is a surjection: f (a)X=Y; this implies the existence of >0 such that f (a)^* yy, yY. Then, if r,/(2L), the image F=f(B(a,)) of the ball B(a,) is convex. This result has numerous applications in optimization and control. First, duality theory holds for nonconvex mathematical programming problems with extra constraint x–a. Special effective algorithms for such optimization problems can be constructed as well. Second, the reachability set for small power control is convex. This leads to various results in optimal control.     

一种边缘提取的图像分割方法

图像分析技术从广义上来讲 ,是指从图像中提取有用的数据或其它信息。图像分割是图像分析技术的重要手段 ,在前人的理论基础上经过实验提出了一种边缘提取的图像分割方法———行扫描空间带通滤波法。该方法在电视图像的自动跟踪识别中取得了很好的效果 ,是一种较为可取的图像分割方法     

一种基于正负差图像的运动目标检测新方法

运动目标检测领域中现有的差图像法是利用绝对值差图像检测差图像上运动目标区域，用现有方法检测时易受噪声干扰，而且当摄像机有自运动时需要进行背景运动补偿。因此，提出一种新算法，即首先分别计算正差图像与负差图像，然后利用运动目标区域在正差图像与负差图像中的幅值、形状以及运动等信息的对称性对其进行检测，最后给出针对飞机尾焰序列图像进行检测的结果。实验结果表明：该方法可提高运动目标检测的可靠性与效率。     

长焦距大口径连续变焦光学系统的设计

根据某探测设备可见光通道光学系统的特点和技术指标要求，详细介绍长焦距大口径连续变焦光学系统结构形式选择、初始结构参数计算及像差平衡的方法，给出运用该方法设计的采用正组机械补偿形式的长焦距大口径连续变焦光学系统的设计结果。对连续变焦光学系统进行了像质检测、实景成像及环境试验考核，其结果表明：该光学系统能满足某探测设备的性能要求。     

X射线探测器图像的恢复研究

图像退化是引起X射线探测器图像质量下降的主要原因。图像恢复,可以提高系统的分辨率和对比度灵敏度。通过对射线成像系统图像退化的分析,介绍了反滤波信号恢复方法,并提出了一种近似恢复算法,该算法将反滤波恢复近似为除法运算的恢复。给出了恢复前后的图像及标准差的对比,实验结果表明了该算法的有效性。     

改进的遥感图像多种信息熵阈值分割算法

给出了一种新的图像信息量的表述方法,提出了五种基于信息熵的科学分割遥感图像的改进方法。用MATLAB对这些算法进行了实验仿真,并进行了算法性能优化。得出了各种不同算法的最佳阈值和耗时,并对它们进行了比较和分析。实验数据表明,新算法较以往的算法在分割效果和速度上都有明显的改善和提高。     

基于数字图像处理方法的焦距测量技术研究

介绍了基于数字图像处理方法测量透镜焦距的玻罗板分划线快速自动甄别法。该图像处理方法鲁棒性好,采用Canny法进行分划线边缘检测。用重心法计算所有线条的重心,从重心往两边搜索线条,判断选取间隔大的刻划线对,可以提高测量精度。实验数据表明该方法的相对测量不确定度能达到8.5×10-4。为实现以数字图象处理为基础的焦距客观测量提供了一种可行的技术途径。