基于漏区边界曲率分析的射频RESURF LDMOS耐压与导通电阻优化

分析了漏区边界曲率半径与射频RESURFLDMOS击穿电压的关系,指出漏区边界的弯曲对RESURF技术的效果具有强化作用.理论分析与模拟结果表明,满足RESURF条件时,提高漂移区掺杂浓度或掺杂深度的同时相应减小漏区边界的曲率半径,可以在维持击穿电压不变的前提下,明显降低导通电阻.

由封头的边界曲率为零所引出的问题

通过分析表明：在边界处曲率为零的容器封头与等厚度筒体联接时虽然可以消除边界影响，但也能引起封头的周向压应力增大等其它不利因素。

基于曲率信息的三维人脸面部特征提取

提出了一种基于曲率信息的三维人脸面部特征提取方法。首先根据几何约束和曲率信息得到由若干间断点描述的人脸五官区域轮廓线;其次采用边界连接及变形膨胀方法,得到完全闭合、但存在多余毛刺的区域边界;最后利用二维图像处理方法进行边界精确化处理,提取出比较精确的人脸面部特征区域。实验证明了所提方法对正面自然表情三维人脸模型的有效性。

基于深度图像的运动人手检测与指尖点跟踪算法

针对由传统摄像头获得的二维图像难以准确检测复杂环境下运动人手目标的问题,提出了一种利用Kinect摄像头对复杂背景下近景人手指尖空间点的检测和跟踪算法。首先利用基于视觉的多信息融合方法对人手区域进行粗检测,并利用深度信息对得到的模糊人手区域进行精确定位及分割,从而有效抑制了复杂背景对人手区域的干扰;根据分割得到的人手区域,利用人手边界的曲率关系实现了指尖空间点的快速检测;最后利用卡尔曼滤波跟踪检测到的运动指尖点。实验结果表明,与已有指尖点检测方法相比,该算法能够准确地跟踪多种姿态下手指指尖的空间位置,具有较低的误差率。

THE VOLUME AND TOPOLOGY OF A COMPLETE RIEMANNIAN MANIFOLD

It is conjectured that the manifold with nonnegative Ricci curvature and weaked bounded geometry is of finite topological type, if The paper partially solves this conjecture. In the same time, the paper also discusses the volume growth of a manifold with asymptotically nonnegative Ricci curvature.

Prescribing Curvature Problems on the Bakry-Emery Ricci Tensor of a Compact Manifold with Boundary

t The authors consider the problem of conformally deforming a metric such that the k-curvature defined by an elementary symmetric function of the eigenvalues of the Bakry-Emery Ricci tensor on a compact manifold with boundary to a prescribed function. A consequence of our main result is that there exists a complete metric such that the Monge-Amp^re type equation with respect to its Bakry-Emery Ricci tensor is solvable, provided that the initial Bakry-Emery Ricci tensor belongs to a negative convex cone.

Spatial pyramidal cross correlation for particle image velocimetry

A spatial pyramidal cross-correlation based on interrogation area sub-division is introduced to improve the measurement resolution in particle image velocimetry(PIV). The high-resolution velocity can be achieved with a velocity prediction model via coarse cross-correlation. The prediction formula is deduced from the frequency response of the moving average(MA). The performance of this method was assessed using synthetically generated images of sinusoidal shear flow, two-dimensional vortical cellular flow, and homogeneous turbulence. A real PIV experiment of turbulent boundary layer was used to evaluate the new method. The results indicate that the spatial pyramid cross-correlation can robustly increase the spatial resolution.

Area-preserving mean curvature flow of rotationally symmetric hypersurfaces with free boundaries

We consider the area-preserving mean curvature flow with free Neumann boundaries. We show that a rotationally symmetric n-dimensional hypersurface in R^(n+1)between two parallel hyperplanes will converge to a cylinder with the same area under this flow. We use the geometric properties and the maximal principle to obtain gradient and curvature estimates, leading to long-time existence of the flow and convergence to a constant mean curvature surface.

On the first eigenvalue of Finsler manifolds with nonnegative weighted Ricci curvature

We prove that for a compact Finsler manifold M with nonnegative weighted Ricci curvature,if its first closed(resp.Neumann)eigenvalue of Finsler-Laplacian attains the sharp lower bound,then M is isometric to a circle(resp.a segment).Moreover,a lower bound of the first eigenvalue of Finsler-Laplacian with Dirichlet boundary condition is also estimated.These generalize the corresponding results in recent literature.