所有的控制顶点仅仅由切线多边形的顶点直接产生。
The all control points can be generated simply by the vertices of the given tangent polygons.
下面的标识为硬件抽象层和引用设备控制顶点处理的行为。
The following flags control vertex processing behavior for the hardware abstraction layer (HAL) and reference devices.
构造边界条件反求得控制顶点。构造出三次NURBS曲线的参数方程。
Boundary conditions are constructed to get the control points and the equation of 3-order NURBS curved profile is acquired.
提出了一种利用控制顶点投影法计算点到平面NURBS曲线最小距离的算法。
The projection method of control points for calculating the minimum distance between a point and a planar NURBS curve is proposed.
这意味着，NURBS曲面的大部分控制顶点的存在只是为了满足这种拓扑约束。
This means that typically, a large number of NURBS control points serve no purpose other than to satisfy topological constraints.
传统的逆向工程曲面重构方法是直接重构，即不对控制顶点进行压缩，直接利用重构数据。
Traditionally, surface reconstruction is built directly by using reconstruction data, which control vertexes aren't compressed.
将实验数据回归分析，在此基础上得出两类控制顶点权因子的改变对NURBS曲线长度不同的影响结果。
Analyzing the experimental datum by regression, it draws the different influences of the modification of the weights of two kinds of control points on length of NURBS curve.
根据所获取的运动数据（来自运动捕获），通过更新控制顶点来更新角色模型，从而实现角色的实时动画。
The modeling method is rapid. Furthermore, By using motion data to update control points, character model is renewed, Therefore, character animation is implemented. Such animation can be real time.
而蒙面曲面的生成则要求生成的曲面通过一系列的曲线，它最终生成曲面所需要的控制顶点和相应的节点矢量。
But surface generation requests through a series of curves, and it finally produces control vertex and node vector satisfied with surface request.
特别是EE样条曲线段仅与三个相邻的控制顶点有关，所以它具有很好的局部独立性，便于在设计时进行局部修改；
It is most outsdanding that since a segment of EE spline curve has to do with only three near control points, it has minute local independent property.
采用曲线的能量最小原理，可以求出每个控制顶点的扰动量，给每个控制顶点赋予一个权重，以调节扰动量的大小。
The perturbations of each control point can be obtained minimizing the energy function. The weights of control points are applied to adjust the perturbation.
最后，进行小波逆变换，得到含有水印信息的虚拟图像，根据虚拟图像中的象素值就可以得到一组新的控制顶点坐标。
Finally, the marked virtual images are gotten with inverse wavelet transform and a new group of control points is obtained based on the pixel value of the virtual image.
但随机选取初始种群的遗传算法，容易使得结果陷入局部最优。要达到较高的拟合精度，则需要增加更多的控制顶点。
But the result easily falls into the local optimum with random initial choice, and more control points are required to assure higher accuracy.
第一种算法的特点是重建结果不依赖于顶点的处理顺序，不需要进行控制顶点的初估及修正，可使各控制顶点的计算一次完成。
The first algorithm gives unique result unaffected by the handling order of points concerned, and it calculates the control vertexes at once without estimation and correction.
提出一种修改NURBS曲面形状的新算法。该算法运用约束优化方法，通过改变控制顶点和权因子修改NURBS曲面的形状。
With the constrained optimization method, a new algorithm for shape modification of NURBS surfaces is presented by altering the location of control points and the weights of original surfaces.
进一步利用得到的距离图，并引入体样条插值算法，选择合适的控制顶点，完成对标准冠牙合面与对颌牙牙合面的冲突区域的调整。
By making use of the distance map and introducing a volume spline interpolation algorithm, a set of control points were selected and therefore the conflict areas were adjusted with good effect.
进一步利用得到的距离图，并引入体样条插值算法，选择合适的控制顶点，完成对标准冠牙合面与对颌牙牙合面的冲突区域的调整。
By making use of the distance map and introducing a volume spline interpolation algorithm, a set of control points were selected and therefore the conflict areas were adjusted with good effect.
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