Iris Localization Algorithm Based on Improved Generalized Symmetry Transform

Accuracy and fastness of iris localization are very important in automatic iris recognition. A new fast iris localization algorithm based on improved generalized symmetry transform (GST) was proposed by utilizing iris symmetry. GST was improved in three aspects: 1 ) A new distance weight function is defined. The new weight function, which is effective in iris localization, utilized the characteristic of irises that the iris is a circular object and it has one inner boundary and one outer boundary. 2) Each calculation of the symmetry measurement of a pair of symmetry points was performed by taking one point of a pair as the starting point of the transformation. This is the most important reason for fast iris localization, due to which, repetitious computation was largely excluded. 3) A new phase weight function was proposed to adjust GST to locate circle target much better because the inner part of iris is darker than the outer part. The edge map of iris image was acquired and GST was only implemented on the edge point, which decreased computation without loss of accuracy. The modification of distance weight function and phase weight function leads to the accuracy of localization, and other ideass peed up the localization. Experiments show that the average speed of new algorithm is about 7.0-8.5 times as high as traditional ones including integro-differential operator and Hough transform method.     

西安半坡遗址祭祀坑析白物成份分析研究

基于半坡遗址遭受可溶性盐分的侵蚀,采用传统的化学分析方法对其可溶性盐分进行了定性和定量分析,同时,用XRD对遗址土样的矿物成份也进行了分析,得出遗址表面析出的白色物质主要是硫酸钙晶体。     

函数条件f(α+x)=f(α-x),f(x+α)=f(x-α)的应用

通过对函数条件f(α+x)=f(α-x),f(x+α)=f(x-α)的讨论,以结论的形势给出了它们所对应的函数性质,并辅以一定例子说明它们的应用.     

4pq阶连通3度边传递图

证明了一个4pq阶的连通3度传递图X当其全自同构群不合非可解极小正规子群时为对称图,这里p，q为大于3且不相等的素数。     

一道竞赛题目的几种解法探索及引申

通过一道竞赛几何问题的一题多解(分析法、对称法、同一法、三角法),力求说明数学竞赛应立足于课本,并从问题解决的过程和结果上初步培养学生学习数学、研究数学的能力。     

浅谈利用笛卡尔坐标变化求解C3v对称群的特征标

在结构化学的分子结构的教学中,教材中对对称群的特征标及特征标表的推导很少,而这些知识恰恰抽象,给学生的理解带来了很大困难,本文以C_(?)为例利用常见的笛卡尔坐标变化来解决这一问题,既简单、又直观。     

R(L)型诱导空间及连通性

用R(L)-值下半连续函数引入了R(L)型诱导空间的概念．讨论了它的一些基本性质．证明了R(L)型诱导空间保持笛卡尔积；(L^x，δ)是连通空间当且仅当其R(L)型诱导空间是连通空间，给出了LF拓扑空间集与R(L)型诱导空间集之间建立的映射和生成映射ω的可交换性．     

构造二次函数，解圆锥曲线中一类对称问题

例1 直线l过抛物线y^2=2px(p&;gt;0)的焦点F，并且与该抛物线相交于A、B两点．求证：对于抛物线任意给定的一条弦CD，直线l不是CD的垂直平分线．     

两类高次多项式系统的全局半稳定性

研究了两类高次多项式系统的全局半稳定性,给出了其为全局半稳定系统的条件.     

有趣的“对称等式”

人教版九义六年制小学数学第七册第108页有这样一道趣题：