First of all, what does the normal vector to a cylinder look like?
先思考一下圆柱面的法向量？
And let's say I want to Orient my cylinder so that the normal vector sticks out.
我给这个圆柱确定了方向，即法向量指向圆柱之外。
OK, and that's going to be the normal vector to the surface or to the tangent plane.
这就是切平面的，或者说这个曲面的法向量。
It's the dot product between the normal vector of a plane and the vector along the line.
这是平面法向量，和沿直线向量的点积。
You can just multiply a normal vector by any constant, you will still get the normal vector.
一个法向量与任意常数相乘，还是法向量。
Calculates the normal vector projecting from the hand relative to the controller.
计算手掌相对于控制器的法线向量。
Key points: application of the direction vector of a line and the normal vector of a plane.
重点：直线的方向向量与平面的法向量的应用。
Tasklets from the high-priority vector are serviced first, followed by those on the normal vector.
来自高优先级矢量的微线程先得到服务，随后是来自正常优先级矢量的微线程。
Then, if you had a flat disk with the curve going counterclockwise, the normal vector would go up.
就会得到一个被逆时针曲线包围的圆盘，法向量向上。
What if I give you a really complicated curve and then you have trouble finding the normal vector?
如果给你的是，一条很复杂的曲线，而又找不到法向量？
So, see, this coefficient becomes zero exactly when the line is perpendicular to the normal vector.
看到了吧，系数变为0了，当直线垂直于法向量的时候。
You can remember, if it helps you, that if a surface is to your right then the normal vector will go down.
你也可以这样记，如果曲面在你的右边,那么法向量就向下。
What we will do is just, at every point along the curve, the dot product between the vector field and the normal vector.
我们要做的是，沿着曲线的每一点上，取向量场和法向量的点积。
And a new method to estimate the normal vector of the surface in Direct Voltime Rendering in Image Space is introduced.
在象空间中的直接体绘制方法中，本文提出了一种新的估计表面法向量的方法。
According to the characteristic of the wave field data, a simple algorithm is used to calculate the normal vector at the nodes.
文中针对表示波浪面的数据集的特性，采用了一种简单的节点法矢量算法。
But, when it comes to looking for the normal vector, be rest assured that the normal vector to a horizontal plane is just vertical.
但是在寻找法向量时，可以确定法向量与水平面垂直。
Nor: Uses the direction of the normal vector as coordinates. This is very useful when creating certain special effects (see below).
法向：使用法向量的方向作为坐标。这在创建某些特效时非常有用（见下文）。
Just to reiterate what I said, positively here means, because we are going counterclockwise, the normal vector points out of the region.
再说一遍，这里“正的”意味着…，由于是逆时针走向，法向量指向区域外侧的。
Well, the normal vector is either coming straight at us, or it's maybe going back away from us depending on which orientation we've chosen.
法向量或者指向我们，或者背向我们,这要根据我们选的方向来定。
Well, if you followed what we've done there, you know that the normal vector compatible with this choice for the curve C is the one that points up.
如果一步一步的把该做的都做了，你会知道，与C相容的法向量,是向上的。
In this paper, we first polygonize the scattered data points, then estimate the normal vector and curvature of each point using the local presentation of data points.
首先对获得的散乱数据点云进行多边形化，然后根据数据点局部表示对每点的法矢和曲率进行估算。
The normal vector pointing up, here we know what it means.
法向量指向上，这里我们知道它是什么意思。
The normal vector of each data point is calculated without reconstructing surface, and then realizing radius compensation with probe radius by going along normal vector.
在不需要重建曲面模型的情况下，找到每一个数据点的法矢，在该法矢方向上补偿一个球头半径实现了测头半径的三维补偿。
Ok, if we look at it near here, if we walk along this way, the surface is to our right.so, we should actually be flipping things upside down. The normal vector should be going down.
我们看看这里，如果我们沿着这条路走，曲面就在我们的右边，我们应该是把它颠倒一下，这个法向量也应该向下。
Ok, if we look at it near here, if we walk along this way, the surface is to our right.so, we should actually be flipping things upside down. The normal vector should be going down.
我们看看这里，如果我们沿着这条路走，曲面就在我们的右边，我们应该是把它颠倒一下，这个法向量也应该向下。
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