查询词典 matrix unit

The matrix inhomogeneous eigenvalue problem is widely applied in mathematics and many other fields,for instance,the studies of the stability of solutions of linear differential equations and the stationary values of a second-degree polynomial on the unit sphere,and the constrained eigenvalue problem and so on.

矩阵非齐次特征值问题在数学和其他领域里有许多应用，如线性微分方程组解稳定性研究，球面上二次函数的稳定点求解及约束特征值问题等。

The algorithm is applied in the segmentation of Magnetic Resonance Imaging of human brain for the 3D reconstruction on dependent of different human tissue structures, in which the problem on wraps between different tissues and fuzzy edges between the different regions in medical volume data may better be settled, which can not be well done by the typical"hard"segmentation using binary logical representation.(3) An accelerated algorithm of volume rendering with X-ray perspective and Phong shading effect based on textures mapping and blending is presented for realizing 3D reconstruction of medical volume data by 2D texture mapping and blending, in which the accelerated algorithm of window transformation is utilized to computing voxels' gray scales and opacities to produce X-ray perspective images, and Phone illumination model is used to import world light sources and an unit spherical surface under the same shading environment as the actual volume rendering is employed to simulate the real reflectional light of per-voxel so that 3D reconstruction possesses illumination effect in the world. Furthermore, 3D matrix transformations of degree rotation and other operations of 3D object are studied, and a fast equivalent method of corresponding shading correction is brought forward to improve its interaction speed in volume rendering process.

该方法利用体数据的窗口变换加速算法将医学体数据转换为计算机显示值，可以得到具有X光透视效果三维图像；该方法提出的Phong明暗处理加速算法利用Phong光照模型引入外部光源，使用一单位球面体来仿真体数据的法线矢量集所产生的反射光强，以快速得到每一个体素的反射光强度，使物体的三维重建达到现实世界中人眼直接观察的逼真效果；此外，还研究了三维重建物体的三维旋转等矩阵变换，提出了一种Phong明暗修正的快速算法来保证了体绘制中三维几何变换的多视角观察的交互速度。

In both sampling period and fractal computing dimension,the signal is fuzzed to construct fractal dimension subordinating degree. A novel correct method,the fuzzy neural network diagnosis method,was proposed,in which the input is the fractal dimension subordinating degree, and the output is the unit matrix. A gearing system was diagnosed by using the modeling.

以多时间尺度采样所获得的分形维数隶属度作为网络输入，单位矩阵为网络输出的分形模糊神经网络，建立了时域精确诊断新方法，通过对典型齿轮系统故障进行精确诊断，结果表明分形模糊神经网络诊断方法的有效性。

With the increase of vibration frequency, the variation process of Jacobi matrix eigenvalue was calculated. According to the position of eigenvalue crossing the unit circle in the complex plane, the stability of fixed point of the map was discussed and the route from periodic motion to chaos via period-doubling bifurcation was received.

以振动频率为控制参数，计算得到映射Jacobi矩阵特征值的变化曲线，根据其穿越复平面单位圆的位置，分析了映射不动点的稳定性，获得了碰撞运动通过典型的倍周期分岔通向混沌的过程。

Using numerical simulation and measured AirSAR data of polarimetric Mueller matrix, the inversion of different surface moisture and fraction per unit area are studied.

利用模拟测量数据以及机载合成孔径雷达实测数据，对不同土壤湿度和单位面积占空比的情况进行了反演试验

Based on numerical difference between the first order and high order Mueller matrix solutions, an iterative method for inversion of surface moisture and fraction per unit area of random small spheroids from polarimetric backscattering measurement is developed.

中文摘要：根据一层随机非球形粒子矢量辐射传输方程的一阶与高阶Mueller矩阵解的数值模拟及其差异，提出了在一些参数已知的条件下，用水平与垂直同极化和交叉极化的后向散射测量反演植被覆盖下地表湿度和植被散射元单位面积占空比的迭代方法。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。