矢量场

First,image structure vector field is derived from source luminance orthonormal vector sets. Andusing neighbor vectors to improve the weak gradient fields produces the structure vectorfield that is needed by LIC rendering. Then, LIC convolution step-length is adjustedaccording to local curvature in the structure vector field. LIC convolution length iscalculated according to the local statistical characteristics of the texture image. Finally, thealgorithm transfers the reference image\'s color characteristics to the rendering result tomake it full of rich color like oil paintings.

该算法通过计算源图像亮度分量的切矢量产生图像的结构矢量场，并对弱矢量区域进行邻域填充处理，获得LIC绘制所需的结构矢量场；然后，根据结构矢量场的局部曲率特征调整LIC的积分步长，并根据纹理参考图像的局部统计特征，自适应地改变LIC的积分长度；最后，将颜色传输算法引入LIC绘制结果，对绘制效果颜色进行渲染。

Line Integral Convolution method is a powerful technique for representing directional information in vector field visualization.

矢量场可视化是科学计算可视化中的一个研究热点，基于纹理图像的流线积分算法可以清楚地描述矢量场的细节。

The total amount of flux spreading is an infinite volume at any point of the vector field, and its manifestation/result is determinate by the net flow of consciousness in a given region of the vector field.

这总流量在矢量场中的任一点是无穷大的，它的显现结果决定于该矢量场中指定区域内意识的净流入。

First, structure tensor is calculated to gain vector field for characterizing local structure of image. And then, total variation partial difference equation is imposed for smoothing vector field. Based on this we use line integral convolution for guide the stroke to generate virtual special effect image with fluctuant sense. Last, mergering with original real image, cylindrical panorama with virtualized relationship controlled by time can be generated, which accomplished the character of surpass the time and space in virtual reality system.

该方法通过计算结构张量获得图像曲线走向矢量场，以此刻画图像局部结构；并采用全变分偏微分方程对曲线走向矢量场自适应滤波平滑处理；在此基础上利用线积分卷积指导画笔走向模拟生成线条波动感虚化效果图像；最后结合原始真实图像和虚化效果图像，实现了一种基于时间变量的柱面场景虚化关联算法，并为虚拟现实系统超越现实时空的需要提供了一种新思路。

Vector algebra, Vector product, Scalar product, Gradient, Divergence, Rotation, and several theories

掌握矢量代数运算，矢量积，标量积，掌握标量场与矢量场的特性参数及相应的定理。

The topology analysis of vector field around "a singular point" is refered in the study of the topology of three-dimensional symmetric tensor field around a simple degenerated point, which can be classified into three types of hyperstreamline sectors:"hyperbolic sector","parabolic sector" and "elliptic sector".

本文参考矢量场中"奇点"附近的矢量轨迹分布结构，研究了张量场中"退化点"附近的特征向量分布形态。确定了"退化点"附近"超流线体"轨迹的三种形态。"抛物扇区"、"双曲扇区"、"椭圆扇区"及其这些扇区的边界。

Vector field visualization is an important part of visualization in scientific computing.

矢量场可视化是科学计算可视化的重要组成部分。提出了一种新的平面矢量场可视化

According to the theory, the industry competitive field isa vector field, which has potential energy and momentum.

文中认为产业竞争场是一个矢量场，可分为外场和内场，并对场内各种矢量的指向进行了分析，揭示了竞争场上变量的流动机制，清晰地显示了弱势产业的变量特征，进而梳理了调整有关变量的思路和战略方法。

In addition, the remanent magnetization vector field can not be transformed into potential field in general.

对地磁场的观测是在地表或卫星高度这样的球面上完成的，且岩石层的剩余磁化强度矢量场一般不能转换为位势场，因此需要研究球面各向同性随机矢量场。

Water depth measurements were made using a point gauge, the velocity and turbulence intensities measurements were taken using a three-component acoustic Doppler velocimeter over a grid defined throughout the junction region.

在入汇型河道三维水流结构试验过程中，获得了不同主支汇流比下的水面等值线图、u方向等值线图、u-v方向矢量场、v-w方向矢量场及水流脉动特征值。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。