The sharp upper bound on the distance between a parametric patch and its interpolated triangle

In computer aided geometric design （CAGD） and computer graphics, it is a general manipulation to approximate a surface by triangulation mesh. Thus a key problem is to estimate the error of the approximation. So far, many papers have given various estimate bounds of the distance between a parametric patch of a C2 surface and an arbitrary triangle whose vertices are on the patch, but these estimates are all imperfect, some of them have large error, some of them have complicated representation formulae. By using a succinct new method, a sharp upper estimate of the maximum distance between a patch and a triangle is obtained and a strict proof is given. This is very valuable for CAGD.     

Study on algorithm of dynamic uncalibrated eye-in-hand visual servoing system

Currently, most visual servoing system must be calibrated, while it is impossible to calibrate cameras and robot models precisely in industrial practice, so a novel dynamic uncalibrated eye-in-hand visual servoing system of tracking a moving target is proposed. The method does not require calibration of camera and robot kinematic models. Vision guided algorithm for tracking dynamic image is developed through minimizing nonlinear objective function. For the large residual has not been approximated in dynamic environment and the change of composite image Jacobian with time increment has not been computed in visual servoing system now,large residuals are dynamic approximated and the change of composite image Jacobian at each iterative step is computed. Simulation results demonstrate the validity of these approaches.     

武器系统可靠性评估中的信息折合计算

基于贝叶斯理论，论述了将组成复杂系统各单元的可靠性信息折合成成败型单元信息，并进行信息综合计算，得出复杂系统可靠性评估结论的方法，并给出了算例。     

运用实例 传授数学知识

运用实际工作中的事例向学生传授数学知识,使抽象的数学通俗易懂.     

关于玻璃熔窑耐火材料侵蚀数据预测模型的发展

新开发的耐火材料侵蚀一维模拟模型可长期地用于玻璃熔窑预测。玻璃液与耐火材料接触边界附近的热辐射对预测耐火材料的侵蚀率具有重要的作用。尽管Rosseland的近似值运用于大量的玻璃熔窑模型，以便通过数值简化来分析辐射热的传递，[第一段]     

在移动VR中加速修正GPU桶形失真的方法

桶形失真是由于光线的倾斜度大引起的画面呈桶形膨胀形状的失真现象,该现象直接影响了移动VR中对图像的分析理解。本文提出一种新的三维映射几何模型,通过对图像网格的预计算与近似值处理,最后在视频编解码器中进行图像对比并计算图像差值和PSNR,数据结果证明此方法很好地权衡了GPU的输出质量和速度,并修正了失真图像,从而取得更好的细节处理效果。     

Generalized multi-layered granulations and approximations based on neighborhood systems under incomplete information systems

A generalized multi-layered granulation structure used by neighborhood systems is proposed. With granulated views, the concepts of approximations under incomplete information systems are studied, which are represented by covering of the universe. With respect to different levels of granulations, a pair of lower and upper approximations is defined and an approximation structure is investigated, which lead to a more general approximation structure. The generalized multi-layered granulation structure provides a basis of the proposed framework of granular computing. Using this framework, the interesting and useful results about information granulation and approximation reasoning can be obtained. This paper presents some useful explorations about the incomplete information systems from information views.     

金属塑性加工中的硬化曲线的确定方法

本文给出了单项和多项带函数的硬化曲线,并考虑了试验工作量,试验取点数等特殊情况下的误差近似值。最后由试验得出了其工作量最小的确定硬化曲线的方法。     

回归估计量均方误差的近似值及其估计量的偏差

对回归估计,有下列结果