微分几何

The thesis consists of three parts:The first part deals with optimal Sobolev inequalities on compact Riemannian manifolds;the second part is concerned with some variational models in image processing,and we propose variational models as well as experimental results for detection,denoising and mosaicking;the last part deals with inverse differential geometry in 3-D non-local image restoration.

本论文由三个部分组成。第一部分是流形上的非线性分析：第二部分是基于能量极小化方法的图像处理；第三部分是三维非局部图像重建及逆向微分几何。在第一部分中，我们研究了紧致流形上的最优Sobolev不等式，证明了某些不等式虽然就整体而言是不成立的，但总是局部成立的。

D According to the new development in the defferential geometric nonlinear control theory and its applications in power systems, a control strategy combined the MTDC modulation and fast steaming valving control is presented. And numerical simulation is adopted to test the usefulness of this control strategy to the transient power systems.

根据微分几何非线性控制理论的新发展和它在电力系统中的应用成果，本文推导了多机交流/多端直流系统的快关汽门与直流调制联合控制的控制规律，并用数字仿真验证了这种控制规律在电力系统暂态过程中的作用。

Considering the in-matching uncertainties,we developed an explicit back-stepping design algorithm and applied to the design of high-order sliding mode controller under in-matching conditions.

此外还建立了基于非线性系统相对度的学习控制以及基于遗传算法的模糊控制等算法；并采用非线性微分几何控制等思想，给出了鲁棒与自适应控制器设计方法；最后将有关算法具体应用于移动机器人系统，仿真和实时控制实验结果证明了有效性。

This paper applies the concept of "contact" in Differential Geometry into the machining of sculptured surfaces, presentes the contact principle of the machining of complicated surfaces, using the circumference circle of the cylindrical cutter to sweep curved surfaces instead of ball-end mill .

把微分几何中曲线与曲面之间的&切触&概念应用于复杂曲面的数控加工，提出用圆柱铣刀和圆锥盘铣刀的外圆在五坐标联动中加工三维自由曲面的最佳切触条件。

The rake face normal curvatures of a ball nose end mill in normal direction and chip flow direction are analyzed and calculated in detail in this paper.

采用微分几何中的曲率分析方法对球头立铣刀前刀面上端刃法线方向和切屑流出方向的法曲率进行了详细的分析计算，并给出了切屑流经前刀面时卷曲半径的计算方法。

On applying the theory of differential geometry, the research shows the procedure for determining the required cutter path for cutting conical cam profile using a NC milling machine based on the analytical profile expression of conical cam with oscillation conical roller follower or with a translating conical roller follower established in 3D space. The analytical expression of cutter path is provided for a tapered endmill cutter, whose size may be identical to or smaller than that of the conical roller.

应用微分几何理论，以在3维空间所建立的圆锥滚子摆动从动件和直动从动件圆锥凸轮机构凸轮廓面的解析表达式为基础，对数控铣床加工圆锥凸轮廓面所需刀具轨迹方程的建立方法进行了研究，根据所采用的锥形刀尺寸等于或小于圆锥滚子尺寸的情况，推导出相应的刀具轨迹方程的解析表达式。

The stable winding equations of the elbow torus and cylinder are established according to different geometry, and the winding pattern of the geodesics of torus and semi-geodesics of cylinder are also achieved.

根据微分几何建立弯管的圆环面及圆柱面稳定缠绕方程，给出了圆环面的测地线缠绕解及圆柱面的半测地线缠绕解，并提出了用OpenGL及VC++对所设计的线型进行仿真的具体实现办法。

This paper presents the explicit expression of geodesic equation on a paraboloids of revolution using differential geometry which avoids the complexity of geodesic ray tracing by numerical approach.

本文根据微分几何原理，从广义费马原理出发，得到了旋转抛物面上短程线的解析式，避免了数值方法射线寻迹的复杂性。

The content of thisresearch is as follows: According to the theories of differential geometry and gear meshin

主要研究内容如下：依据微分几何和齿轮啮合原理，用运动学法建立了理想状况下一次包络和二次包络 TI 蜗杆传动的啮合理论体系。

This paper addresses the control problem of a variable speed wind turbine system in above rated wind speed which uses pitch angle control of the blades and delay angle control of the rectifier,with special emphasis on the differential geometric theory.

讨论了在额定风速以上时变转速风力机的控制问题，系统采用基于微分几何理论下的桨距角和触发角双输入控制。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。