弯管传感器弯径比的三坐标测量方法

对ZWL型智能弯管流量计中弯管传感器弯径比测量方法地不断探索,提出了用三坐标测量机对弯管传感器进行测量的三坐标测量方法.通过建立求解弯径比的数学模型,三坐标测量机测取三维坐标点和用MATLAB软件编写弯径比的计算软件,完成了对弯径比的计算.此方法是将测头直接伸入管内的接触式测量,能直接反映弯管的形状特征,测量结果具有较高的精度,且操作方便,具有通用性.     

平面曲线运动加速度公式的物理-数学推导法

指出了现有平面曲线运动加速度公式物理推导方法的不足．通过将自然坐标系和二维笛卡尔坐标系相结合，将质点运动的物理量和运动曲线的数学量相结合，利用加速度的定义及曲率圆和曲率的概念从数学上严格地推导出了一般平面曲线运动的加速度公式，并对该推导方法的意义进一步作了讨论．     

Translation Surfaces with Zero Mean Curvature in （2+p）-Dimensional Pseudo-Euclidean Space E22+p or Ep2+p

Let Ep^2＋p（resp.E2^2＋p） be a （2＋p）-dimensional pseudo-Euclidean space with the index p （resp.2）. The maximal spacelike or minimal timelike translation surfaces M^2 in Ep^2＋p or E2^2＋p are considered and a complete classification is given.     

Optimization of a piezoelectric linear motor in terms of the contact parameters

The contact kinetics of piezoelectric linear motors determines the operational characteristics like speed and torque or transmitted mechanical power and efficiency. Piezoelectric linear motors are driven by tangential stress in the interface between tip of shaking beam and slider. A good contact between the tip and slider is necessary for a reliable analysis of the motor, which is needed for the optimization of its performance. The piezoelectric linear motor was fabricated and the characteristics of the motor were investigated by external conditions such as tip shape with different curvatures and contact force between the tip and the slider. It was found in this investigation that the optimal curvature of the tip and the contact force are curvature of 1 and 10, respectively, for the high actuating speed, and curvature of 1 and 40 N, respectively, for the high actuating force. Finally, tip shape has an influence on the characteristics of linear motor.     

用多项式近似的图象逆滤波及空间移变系统图象的恢复

光(电)成像系统的特性会引起图象降质，但如果能够根据系统的传递函数确定其逆滤波函数，就可以对这种降质图象进行一定的恢复．为此，提出了一种用多项式近似的图象逆滤波的图象恢复方法，该方法就是首先将连续的逆滤波函数按泰勒级数展开，并用多项式来近似表示，通过对用多项式表达的用于图象恢复的逆滤波函数作反傅里叶变换，就可得到恢复图象在空间域中的近似运算公式，该运算是图象信号及其各阶导数的线性组合，而不是复杂的反卷积操作．同时还详细分析了方法的原理，并推导了算法公式，最后给出了空移不变和移变系统图象的恢复处理结果．实验表明，该方法特别适合于空间移变系统降质图象的恢复，如场曲恢复．     

An Efficient Active Contour Model Through Curvature Scale Space Filtering

Active contour models can be successfully used in multimedia database retrieval systems if they have good accuracy and high speed. The majority of existing active contour models do not lock on to interest objects very accurately and quickly especially in complex images. The behavior of the active contour is generally controlled by its internal and external energies. Internal energy is composed of two parts; the first part acts to shorten the active contour as it iterates towards the interest object, while the second part is the curvature of the active contour and forces smoothness of active contour during its movement towards interest object. In this paper, first a reformulated internal energy is proposed to improve the computation of curvature at point v _i by making use of the three points v _{i – 1}, v _i and v _{i + 1}. Second, an accurate and high speed active contour model, SAC is proposed based on reformulating internal energy by removing the curvature part and using Gaussian filtering with low scale of smoothing. The SAC model has only one parameter that affects the internal energy of active contour and as a result of using the Curvature Scale Space (CSS)¹ technique for smoothing, the SAC model is more independent of model parameter setting and the initial snake.     

基于高光线模型修改NURBS曲面不光顺性

高光线模型是一种评估曲面光顺性的强有力工具．提出一种基于高光线模型修改NURBS曲面不光顺性的新方法，将高光线模型对应的非线性方程组转化成线性方程组，从而大大简化了问题的复杂性，修改后的控制点通过解一组线性方程求得．新NURBS曲面的某些点具有指定的法方向．该方法直观、适用于实时交互设计，通过简单的操作就能修改NURBS强曲面，从而使其具有良好的光顺性．还给出了测试文中方法有效性的实例．     

非线性参数估计中最优解的一个充分条件

估一类非线性参数估计问题中，当某个容许参的输出值与给定值的误差范数为局部极小时，如何判断这个参数是最优解。     

常曲率空间中曲面的等距变形

Ｏ．Ｂｏｎｎｅｔ首先研究了保持主曲率不变的曲面的等距变形问题，并证明了常中曲率曲面具有保主曲率的等距变形。１９８５年Ｓ．Ｓ．Ｃｈｅｒｎ证明了在欧氏空间中具有保持主曲率不变的非常中曲率曲面是Ｗ－曲面。     

用变n次抛物线叠加敷设缓和曲线

按汽车转向时的实际特性分析了公路缓和曲线应满足的理论关系，并采用了变ｎ次抛物线在切线上和圆弧上分别叠加，从而使所敷设的缓和曲线更简化，更附合实际。