曲率

A deformable model is used to reconstruct the shape of the LV: first, the dynamic equation governing the surface deformation is deduced; secondly the image planes are mapped to the reconstruction coordinate system. From the slices data, the external force exerted on the surface is defined and the elastic force of the surface is constructed by mean curvature of the deformation surface. Finally, a level set method is applied to solve the dynamic equation for LV shape.

为了重建左心室的形状，使用基於形变模型的方法：首先建立变形曲面的动力学方程；再将成像坐标系中的图像平面映射到重建坐标系，根据图像数据构造外力，使用平均曲率构造变形曲面的弹性力，然后用水平集数值解法求解动力学方程以重建左心室的表面。

Mean curvature is closely related to the first variation of

平均曲率和

In this thesis, we mainly investigate mean curvature flow with external force fieldswhich comes from the study of the vortex of a Ginzburg-Landau system.

本文主要研究一类带外力场的平均曲率流，它源于对一类Ginzburg- Lan-dau方程的漩涡运动的研究。

At first, three requirements of image denoising are proposed, based on which the defect of the fidelity term used in the mean curvature motion model and that in the total variation based image denoising models are investigated.

在讨论了图像去噪的3个基本要求的基础上，总结了平均曲率运动去噪模型和总变差去噪模型中利用保真项的不足。

We prove that the compact hypersurfaces and the hypersurfaces with constant mean curvature must be totally geodesic.

紧致超曲面以及常平均曲率超曲面的全测地性质。

In the second chapter, we study a pinching theorem for submanifolds of locally symmetric space with parallel mean curvature .

第二章节是关于局部对称空间中具有平行平均曲率向量子流形的pinching定理，设M是局部对称空间N~中一个紧致子流形。

This dissertation is devoted to the global existence and quench ing phenomena of the solution to a nonlinear parabolic equation of the mean curvature type and the blow-up conditions to another nonlinear parabolic equation.

本文研究了一类平均曲率型抛物方程解的整体存在性和解的熄灭现象及一类非线性抛物方程解的爆破条件。

Then using polynomial as digital filter, it gains smooth curve function to depict the metatarsus region edge.

然后，由高次多项式进行数字滤波，再对滤波后的边缘曲线，利用先验知识，依据平均曲率的变化，自适应地选取不同的函数模型，提取出相应特征，自动识别边缘形状。

A new classical small perturbation method of electromagnetic scattering from rough surface with consideration of the effect of the curvature of the surface is presented.

本文在分析传统粗糙面电磁散射微扰法的基础上，给出了一种新的考虑曲率修正效应的微扰法，解决了传统微扰法计算掠入射散射时的误差问题。

One of its main goals is to classify topologically, or even metrically, manifolds with certain geometry conditions on, say, curvature, volume, diameter.

二十世纪三四十年代发展起来的整体微分几何，其中的一个重要部分是讨论流形的曲率是如何影响流形的拓扑乃至度量性质。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。