LROTH''''S THEOREM IN DIFFERENTIAL FIELDS

In this paper, we present a constructive proof of Luroth's theorem in differential case. We also give a method to find the inversion maps for general differential rational parametric equations. As a consequence, we prove that a differential rational curve always has a set of proper parametric equations.     

Integral computation relating to rational curves based on approximate degree reduction

A new algorithm is presented for computing the volume of revolution, moment of area and centroid etc. , which are related to the integration of rational curves. In this algorithm rational curve with high degree is firstly approximated by those with lower degree through endpoint interpolation. And finally the closed form integration solution is derived for quadratic rational curve. The diminishing rate of the minimum norm of the perturbation vector needed by degree reduction is 0(2" ") when the interval is subdivided at the midpoint. Combining the subdivision with the degree reduction, we can obtain a faster convergence of integration approximation. A series of integral error bound functions which are fairly simple to compute are derived. The examples given in this paper show that this algorithm is a simple and time-saving method in computing with small tolerance.     

驾驶困倦预警系统中眼部状态识别的研究

为判断驾驶员是否处于疲劳驾驶状态,通过对人脸正面图像中的眼部状态的研究,提出了一种判断算法.首先基于灰度投影曲线和人脸几何特点提取驾驶员的眼部区域,然后利用事先提取的驾驶员睁眼时的瞳孔区域模板在该区域进行匹配,通过匹配初步判断出驾驶员是否属于疲劳驾驶.实验结果表明,该算法简单高效,在满足一定外部条件下,误判率较低.     

一类五次代数曲线的图形的定性分析

对一类五次代数曲线的结构进行研究．先将其转化为与之对应的平面Hamilton系统，运用平面微分动力系统的定性理论分析的方法，研究其奇点的分布及性质．然后对其系数进行分析、计算，找出其系数参数平面的分支曲线．最后用数学软件Mathematic画出所有可能的平面分支相图，从而把这类代数曲线的相图分成了13类．     

灌孔混凝土砌块砌体受压性能研究

通过对灌孔混凝土砌块砌体中混凝土芯柱三向受压应力状态进行分析,提出了适用于灌孔混凝土受压弹性模量的计算方法.同时,基于大量的试验结果,提出了适用于灌孔混凝土砌块砌体的泊松比、峰值应变、极限应变等参数,并引入到Domingo J.Carreira等提出的混凝土本构模型中,得出了适用于灌孔混凝土砌块砌体受压的应力-应变全曲线公式.对比结果表明,计算值与试验结果吻合良好,可供灌孔混凝土砌块砌体结构设计和研究参考.     

Optimal Polygonal Approximation of Digital Planar Curves Using Genetic Algorithm and Tabu Search

Three heuristic algorithms for optimal polygonal approximation of digital planar curves is presented.With Genetic Algorithm (GA), improved Genetic Algorithm (IGA) based on Pareto optimal solution and Tabu Search (TS), a near optimal polygonal approximation was obtained.Compared to the famous Teh-chin algorithm, our algorithms have obtained the approximated polygons with less number of vertices and less approximation error.Compared to the dynamic programming algorithm, the processing time of our algorithms are much less expensive.     

三维振动轨迹曲线演示方法

在传统的振动与波动学教学中,只能通过机械装置对个别振动与波动现象进行演示.利用Mathematica软件,结合计算机系统的图像和声音处理能力,可以直观地显示各种振动与波动时空曲线及轨迹曲线,并能输出任意振动方程对应的声振动(声音),全面突破传统教学手段的局限.     

Z++a:Z++的AOP扩展

为了适应面向Agent技术的发展及其系统设计的需求，提出一种基于面向Agent程序设计(AOP)风范的形式描述语言具有重要的理论指导价值和实际意义。在Z++的基础上，讨论其AOP扩展问题，从而提出具有AOP风范的形式描述语言Z++a,同时还给出了一个关于高度智能化、人格化生物机器人的Z++a形式描述简例。     

Z-广义连续格

利用Ｚ－子集系统引入Ｚ－广义连续格的概念，并研究了这类格的映射及拓扑性质。     

生物法合成叶醇的研究进展

叶醇是食品和化妆品市场上最重要的香料之一,主要通过化学法合成.介绍了目前国内外生物法合成叶醇的研究状况,并试图为下一步的研究方向提出建议.