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At last,we use these feature regions to construct affine invariant s,based on affine geometry invariant property.

利用仿射区域划分获取一组扩展质心集合作为图像特征点集;求解特征点集的凸包,根据扩展质心的性质将凸包顶点均匀组合成若干特征区域;利用仿射几何性质构造了有效的仿射不变量。

With the Ben Tal generalized algebraic operation of 2 , we obtained some necessary and sufficient conditions for the class of generalized convex programming, and the results generalize the corresponding ones for the convex Programming.

利用文〔2〕中定义的Ben-Tal广义代数运算,本文得到了这类广义凸规划的Kuhn-Tucker充分条件和必要条件,所得结果推广了通常凸规划相应的结

Based on measured surface topography in conjunction with theoretical analysis, the characteristics of surface during wear process are studied, and the asperity density and asperity curvature radius are given for the first time.

本文通过对缸套表面的实测和分析,研究了在磨损前后表面形貌的变化,并首次定量描述了微凸体密度、微凸体曲率半径及其沿高度方向的变化。

Based on the analysis of traditional convex hull algorithm, a new convex hull algorithm is presented, i.e. pyramid algorithm.

在分析传统的凸壳算法的基础上,提出新的凸壳算法,即金字塔算法。

Especially, we study the applications of Jensen inequality of convex function in proving inequalities.

在此基础上,利用凸函数的Jensen不等式,证明了一些应用初等数学知识难以证明的初等不等式,显示出凸函数在不等式证明中的重要性。

Several kinds of new convexity are introduced with Gateaux derivatives as an aid, under the assumption of which optimality sufficient conditions are obtained.

借助Gateaux导数引进了几种新的凸性,在新的凸性假设下得到了最优性充分条件。

In this study, a commercial CAD/CAM Software is used to plan and generate the multi-axis tool path, and a table rotating/tilting type five-axis machining center is used to perform the experimental machining operation. The material of the die studied is NAK 80 die tool steel, and the geometries are modeled as concave and convex spherical surfaces. Milling parameters considered are spindle speed, feed rate, and different types of cutting tool path. The experimental results show that the surface roughness for concave spherical surface is about 0.247 μm and roundness is about 0.0283 mm and the surface roughness for convex spherical surface is about 0.250 μm and spherical roundness is about 0.0551 mm under the cutting conditions mentioned in this study.

本研究的实验方法与步骤包括利用商用CAD/CAM系统针对实验对象规划三轴/五轴同动加工路径,并经后处理程式转换,在本实验室之平台倾斜/旋转型之五轴加工机上进行实验,实验对象为NAK80模具钢材料之凹与凸球形曲面之加工,此外考虑的切削条件有主轴转速、进给速度、加工路径等,在本研究所设定之最佳切削条件下,凹球形曲面之真圆度约为0.0283 mm,粗糙度为0.247 μm,而在相同切削条件下,凸球形曲面之真圆度为0.0551 mm,粗糙度为0.250 μm。

The data indicates that the fourth circle is the maximum locking torque stage when the self-tapping screw locks into the boss. The curve of this stage is from 1080° to 1440°. Besides, it will continue the value of the locking torque until the boss produces the strip.

由实验结果显示:自攻螺丝锁入凸毂的第四圈为最大锁附扭矩阶段,此阶段的锁附扭矩曲线角度由1080至1440,此外并继续增加锁附扭矩值直到凸毂产生滑牙为止。

In order to improve the efficiency of the collision detection for two convex polytopes, this paper proposes a fast projection-separation approach.

为了有效地提高凸面体之间的碰撞检测效率,提出一种凸多面体快速碰撞检测的投影分离算法。

It respectively constructs quasi projection-separation facet sets of two convex polytopes while their orthogonal projection on the centerline overlap mutually. Afterward it judges the separation of two convex polytopes by confirming non-overlap in orthographic projection on the centerline or by finding out a projection-separation facet from two quasi projection-separation facet sets, otherwise a collision is judged.

该算法通过判断2个凸多面体在中心线上的正投影不相交,或者分别构造它们的准投影分离面集合,并从这2个集合中找到一个投影分离面,来判断2个凸多面体分离;否则,判断为相交。

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