查询词典 curvature invariant

According to the discrete curvature on triangle meshes,more important features can be preserved in regions of high curvature after simplification.A method to get the new vertex after the collapse of a triangle based on discrete curvature and spherical surface estimation is also given.

通过三维扫描仪得到的数据构建的三角网格模型，由于其采样密度均匀，因此造成了数据量庞大，受到存储和传输带宽的限制，使得其很难在实际应用中直接使用。

The surface of image can be looked as a curved surface, and we can simulate a conicoid function in local area. Based on this function we can estimate the gradient and the curvature of the curved surface points, and set proper thresholds of gradient and curvature, we can detect the centre lines of roads with correlative process including removing small areas, area growth, thinning, etc. Lastly through seting proper thresholds of the gradient and the curvature again, the original road junctions can be detected and then verified by the road lines detected formerly.

基于微分几何的道路交叉口识别方法：把影像的灰度表面看作是一个曲面，在局部区域内拟合一个二次曲面函数，通过该函数来估算梯度和曲率并设定合适的梯度和曲率阈值来检测道路中心线，并进行相关处理，例如去除小区域、区域增长、细化等，然后再设定合适的梯度和曲率阈值，检测出初始道路交叉口，并用检测出来的道路来进行确认。

The anticlastic curvature caused by bending is 1700 times as long as the sagittal curvature, and the incident angle error is only 2.2 μrad. The Von Mize stress on the bender is about 806 MPa. When Beryllium-Cu is selected as the material of the bender, the linear relationship between the curvature of crystal in 0.57~1.72 m and the driving forces in 8~2.67 N is obtained.

优化后晶体因压弯产生的鞍形曲率半径约为弧矢曲率半径的1700倍，造成的人射角误差为2.2μrad；压弯装置上的最大平均应力约为800MPa，并由此确定了以铍青铜作为压弯机构的材料，晶体的曲率半径为0.57~1.72m和驱动力为8~2.67N时的线性关系。

Let m be a finite μ-invariant measure of Q-matrix, as Q is totally stable, consists of a single absorbing state or single-instantaneous state, we prove that exists Q-processes P , in which m be a μ-invariant measure of P , and construct the Q-processes P .

第四章致力于μ不变测度的研究，设m是Q的有限μ不变测度，在Q是全稳定、单瞬时不可和准保守拟Q-矩阵，以及含有吸收态的情形，分别证明了存在Q过程P，使m是P的μ不变测度，并且都具体构造出Q过程。

Based on concept of U(1)-invariant adiabatic expansion we propose an invariant perturbation theory of quantum adiabatic process, furthermore, we obtain a new adiabatic condition.

我们提出了绝热轨道、绝热演化轨道及U(1)不变的绝热轨道和绝热演化轨道等概念，重申了绝热演化的含义。并在U(1)变换不变展开的基础上给出了绝热近似不变微扰理论新的绝热条件，并进一步得到了新的绝热条件。

We study a polygon representation composed by the vertex angles and ratios of adjacent edge lengths, which is invariant to geometric transformations such as translation, rotation and scaling. The polygon is globally represented by a scale-invariant intrinsic matrix.

提出了由顶点转角和相邻边长比例构成的多边形伸缩内在量表示的方法，多边形从整体上由一个伸缩内在矩阵来表示，该表示方法具有平移、旋转和伸缩等几何不变性。

This method utilizes the invariant properties of affine geometry to calculate the affine invariant, which has a more fast process speed.

该方法利用仿射几何中的特征区域面积比的不变性质构造仿射不变量，在处理速度上具有较为明显的优势。

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。

Local invariant feature ; object recognition ; image matching ; image classification ; scale space ; affine invariant moment ; detector ; descriptor

吉林大学；刘萍萍局部不变性特征；物体识别；图像匹配；图像分类；尺度空间；仿射不变矩；检测子算法；描述子算法

Firstly, on the base of the strictly monotone map, we provide the definition of strictly invariant quasi-monotone map, it is the extent of the strictly monotone mapping, at the same time, it is the especial case of the invariant quasi-monotone map, too. It is supported by some examples.

在理论部分做了三方面的工作：首先，在严格拟单调映射的基础上，提出了严格不变拟单调映射，它是严格拟单调映射的推广，同时也是不变拟单调映射的特殊情况，举例加以说明。

Through comparing with the results by simulation to study the effects of theprojectile"s final velocity, the angle of rotation and the ballistic trajectory"s migration withdifferent projectile"s rotating speeds, different target"s moving speeds and differentpenetration angles.

通过比较数值模拟的结果来研究不同弹头转速、目标速度、侵彻角对侵彻过程中弹头最终速度、翻转角度和弹道偏移的影响。

I love stationery and all the accoutrement of writing.

我爱文具以及所有的书写的工具装备。