计算手掌相对于控制器的方向向量。
Calculates the direction vector of the hand relative to the controller.
总的来说，您需要一个与照射平面相垂直的方向向量。
The general idea is that you need a direction vector that is orthogonal to the lit surface.
重点：直线的方向向量与平面的法向量的应用。
Key points: application of the direction vector of a line and the normal vector of a plane.
由信号方向向量直接估计到达波方向(DOA)可以获得优良的估计性能。
It is known that a good performance can be obtained when the DOAs are estimated directly from the signal direction vectors.
因此，优化解决方案是从轴的原点沿 (1,-1)方向作为方向向量指向多面体边界的最远点。
Therefore, the optimal solution is the farthest point on the polyhedron boundary from the axis' origin using the direction (1,-1) as a direction vector.
本文将ESPRIT技术与信号子空间技术相结合，给出了信号方向向量的完整表达式。
Based on the combination of the ESPRIT with the signal subspace technique, a complete expression for the signal direction vectors is derived in this paper.
根据相干分布源的近似模型可知，在小角度扩展情况下，角度扩展主要影响广义方向向量各元素的幅度。
Based on specially array geometry designation, the angular spread could be estimated by substituting the estimated DOA into the amplitude information vector.
该方法首先在不知道任何基阵方向向量先验知识的情况下，利用信号的多普勒信息估计波束形成的权矢量。
The weight vector of beamforming is estimated by Doppler information of the signal first, then it is approximated by RBFNN to carry out the blind optimizing beamforming.
将每个像素的三个色彩通道看成是一个三维矢量，则矢量的单位方向向量和亮度分别表示像素的色彩和亮度。
The three color channels of each pixel were regard as 3-dimensional vector, and the unit directional vector and its magnitude represented the chromaticity and the pixel brightness separately.
当然也有另一种方法，就是用参数方程表示这两条直线，用两条直线的方向向量作外积，从而得到切平面的法向量。
Another way to do it, of course, would provide actually parametric equations of these lines, get vectors along them and then take the cross-product to get the normal vector to the plane.
该算法对LDI的每个深度像素增加一个方向向量，对位于同一深度的像素采用加权平均的方法生成新视点下的目标图像。
The new algorithm adds a direction vector to every depth pixel in LDI , and creates images from new vantage points by adopting a weighted rendering method for pixels with the same depth.
方向基本和这里的单位切向量一致。
梯度向量的垂直方向，为什么是这样而不是另外一个方向？
Does the gradient vector, why is the gradient vector perpendicular in one direction rather than the other?
这是约定的得到单位法向量的方法，这种做法使得，当沿着曲线行进时，法向量始终指向右手方向。
That is our convention to get a unit normal vector that points to the right of the curve as we move along the curve.
也就是，如果我给你一个单位向量，试问，我沿着这个方向移动，我的函数值会变化得多快呢？
OK, so if I give you a unit vector, you can ask yourself, if I move in the direction, how quickly will my function change?
梯度向量方向是,在给定点处指向函数增加得最快的方向。
The gradient is the direction in which the function increases the most quickly at that point.
从而法向量的方向是竖直向上或向下的。
The normal vector is just sticking straight up or straight down.
只有向量方向，即分振幅之间的比值，是重要的。
Only the direction of the vector, the ratios between the component amplitudes, is important.
也就是说，如果朝该方向运动，函数值变动得最剧烈，那么相应的斜率就是梯度向量的模长。
OK, so if I go in that direction, which gives me the fastest increase, then the corresponding slope will be the length of the gradient.
这里我们并没有曲面定向的概念，能做的就是，从两个法向量中选出一个作为正方向。
Here we don't have a notion of orienting the surface other than by precisely choosing one of the two possible normal vectors.
法向量方向上，分量为零。
曲面的方向有点向后向上,应该差不多像这样，那么现在你的中指,指的方向就是法向量的方向了。
That one would be pointing kind of to the back slightly up maybe, so like that. And now your middle finger is going to point in the direction of the normal vector.
如果取一个有旋的向量场，流体流动方向是环绕某个坐标轴的，那么就会发现它的散度是零。
And, if you take a vector field where maybe everything is rotating, a flow that's just rotating about some axis, then you'll find that its divergence is zero.
我所做的就是把F投影到切向量方向上，得出F沿着曲线的值,然后再把这些加起来。
What I do at any point is project F to the tangent direction, I figure out how much F is going along my curve and then I sum these things together.
我给这个圆柱确定了方向，即法向量指向圆柱之外。
And let's say I want to Orient my cylinder so that the normal vector sticks out.
我们研究的是，向量场在曲线法向量方向的情况。
And we looked at the component of a vector field in the direction that was normal to the curve.
这是另一种形式，它意味着,要求出每点处向量在切向量方向的分量,我还是用之前那个向量场吧。
That is how we reformulated it. That means we take our curve and we figure out at each point how big the tangent component I guess I should probably take the same vector field as before.
即竖直方向的单位向量。
如果你注意到了方向的约定，你会发现它的法向量是向上的。
And, if you pay attention to the orientation conventions, you'll see that you need to take it with normal vector pointing up.
如果你注意到了方向的约定，你会发现它的法向量是向上的。
And, if you pay attention to the orientation conventions, you'll see that you need to take it with normal vector pointing up.
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