In chapter 3 , 1 consider the nonlinear parabolic equation : where a bounded domain with smooth boundary in ; v is outward normal vector on is a positive function satisfying some compatibility conditions focus my attention on the case of m > 1 , to obtain the blow - up conditions of the positive solution using the method of subsolution and supersolution 运用紧致性原理及moser迭代得到了解的整体存在性和解的熄灭性质。第三章讨论了如下形式的非线性抛物方程:其中m , , 0 , r ~ + ,为r ~ n ( n 1 )中的有界域,具有适当光滑的边界( ? ) ; v是(
At the same time , for the equidistant surface in practical measurement , special search method is applied for automatic segmentation , so the normal vector of the data at arbitrary position of the space is solved , then radius compensation of probe is implement . so the return is realized from equidistant surface to real measurement surface 针对实际测量中得到的等距曲面,采用空间搜索的方法对数据点分块,求取了任意测量点法矢,提出了测头半径的补偿方案,从而实现了由空间等距曲面到被测曲面的复原。
And find the plane by which the robot grasp it by the normal vector of grasped plane ; 8 . confirm the position of the optimum plane , then transfer the position coordinate of the gained plane to the ones of the robot coordinate ; the result indicates that its " implement is simpler and the speed of running is fester than other ways 确定最佳抓取平面的位置,然后把获得平面的位置坐标转化成机器人坐标系中的坐标。运行结果表明,该算法与传统的模板匹配算法相比,实现简单,执行速度快,在求得对象物精确位置方面有所提高,且相似性分布在一定程度上相对尖锐了一些。
Abstract : the tolerance and generation of the stair - error in rp were studied . by using the normal vector information of the tringon facets in stl file , a calaculating method of stair - error was proposed and a slice - adapt algorithm which will save the time of mold manufacturing was presented 文摘:研究了快速成型过程中阶梯误差的产生与度量,并利用stl文件中的三角形面片的法矢量信息给出了阶梯误差的计算方法,提出了可变分层厚度的算法,采用自适应分层来减少成型时间的方案
This dissertation , in a certain extent , has studied the relative techniques of triangular mesh based high quality surface reconstruction and surface interrogation . main contents and research achievements are as follows : mesh smoothing and regularization techniques has been studied . based on the new formula for the calculation of mesh vertex normal vector and discrete curvature , a novel approach for triangular mesh smoothing and regularization are presented 对三角网格模型顶点法矢与离散曲率分别采用三角片面积内角加权及质心加权公式进行计算,克服了现有面积加权公式计算结果不稳定的缺点;对模型上的特征区域与非特征区域分别施以不同的处理策略,能在光顺与优化调整过程中较好地保持模型原有特征。