本文提出了一种利用梯度的方向信息，对微分图象进行细化，并确定一测量函数进行边缘点连接，以实现图象边缘检测的方法。
An edge detecting method for digital image is proposed using direction information of the gradient to thin off the differential image and defining a measuring function to link the edge points.
今天的动力系统大致可分为微分动力系统、拓扑动力系统、无穷维动力系统、复动力系统、遍历论等方向。
Roughly speaking, dynamical systems consist of differential dynamical system, topological dynamical system, infinite dimensional dynamical system, complex dynamical system and ergodic theory etc.
研究表明，追逃双方机器人的控制作用使得彼此的加速度方向一致时，双方都取得最优控制策略，同时也证明了微分对策方法在处理碰撞问题时的有效性。
The research indicates that the controlling strategy is optimal when they have the same acceleration direction, and the differential games are efficient in dealing with collision problem.
本文着重讨论了在任意几何中心对称阵列条件下的最大似然方向估计函数的性质及其在信源真实方向上的微分特性。
The property and the differential characteristic of maximum likelihood direction-of-arrival estimation (MLE)function for every variety of centrosymmetric array are investigated in the paper.
在柱坐标下从微分波动方程出发，推导柱面光波的场分布，并利用远场近似条件导出当线光源与光轴成任意角度时，在垂直光轴方向的参考面上的复振幅表示。
The expression of complex amplitude is given in reference plane vertical to the optical axis by far-field approximation when the line source and the principal axis are at any Angle.
其中关于均方全微分和均方方向导数的定理是多指标随机过程所特有的结论。
Four of them, i. e. the theorems on the mean-square total differential and mean-square directional derivative are special conclusions of the multiple parameter stochastic processes.
以铁路高桥墩为研究对象 ，导出了计轴力及内力素方向改变所致非线性项的高桥墩振动偏微分方程。
The nonlinear partial differential equations for the tall pier vibration of railway bridges are derived by taking the influence of geometric nonlinearity into consideration, i.
在弹性力学求解新体系中，将对偶向量进行重新排序后，提出了一种新的对偶微分矩阵，对于有一个方向正交的各向异性材料的三维弹性力学问题发现了一种新的正交关系。
In a new systematic methodology for theory of elasticity a new dual differential matrix is presented by the dual vectors over again sorted and a new orthogonality relationship is discover.
高维守恒律方程的研究是非线性偏微分方程的最具有挑战性的方向之一。
The research on multi-dimensional conservation laws is one of the most challenging direction in the field of nonlinear partial differential equation, it is very important and very difficult.
进而深入研究了经典的基于偏微分方程的后处理方法，包括方向扩散，自蛇模型等非线性扩散方程。
After that we studied several Post-processing models based on PDE of Anisotropic Diffusion, including Directional Diffusion and Self-Snake model.
在柱坐标下从微分波动方程出发，推导柱面光波的场分布，并利用远场近似条件导出当线光源与光轴成任意角度时，在垂直光轴方向的参考面上的复振幅表示。
Starting from the wave differential equation, a method is deduced to express the complex amplitude of light wave fields in the reference plane which is vertical to the optical axis.
提出一种新的基于偏微分方程(PDE)的图像放大算法。算法模型由方向扩散、保真项和冲击滤波构成。
Based on partial differential equations (PDE), we propose a novel image magnification approach which consists of oriented diffusion, fidelity term and shock filter.
提出一种新的基于偏微分方程(PDE)的图像放大算法。算法模型由方向扩散、保真项和冲击滤波构成。
Based on partial differential equations (PDE), we propose a novel image magnification approach which consists of oriented diffusion, fidelity term and shock filter.
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