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A nonuniform down sampling method with borderestimation was proposed to resample the input data set according to local feature before reconstruction.

曲面重建前先通过该算法减少参与运算的采样点,表面特征丰富的区域削减的采样点数远小于特征不丰富的区域,再进行曲面重建。

Further more, the SVR method is compared with some other methods for constructing response surface.

另外,还将SVR响应曲面建模方法同其他的响应曲面建模方法进行比较分析。

The measuring data after pre-processing was fitted with NURBS curve with constructing the non-uniform node vector using the method of cumulating chord length and optimizing the rights of NURBS curve restrictively. The formula of surface skinning which can be realized by programming was proposed on the basis of the foundation formulas in existence, then NURBS curves was skinned to gain the corresponding NURBS surface.

对经过预处理后的测量点数据,通过采用累积弦长法构造非均匀节点矢量和对权因子的约束优化,进行测量点数据的NURBS 曲线拟合,在现有基本公式的基础上推导出了可以编程实现的曲面放样公式,对得到的NURBS 曲线进行放样处理,最终得到了测量点数据的NURBS 曲面

First, a features-preserving filtering algorithm for point set surface and surface attributes is developed,which is based on robust statistics.

首先是把鲁棒统计理论应用在了对点采样曲面保护特征的滤波中,并扩展该算法到定义在曲面上的函数的滤波中。

Some studies based on machining complex ruled surface by means of WEDM and machining spherical parts through WEDM with rotary electrode are carried out to check the correctness of picture simulating results.

为了检验图形仿真结果的正确性,本文对各种复杂曲面电火花线切割加工系统加工复杂直纹曲面零件和回转电极展成电火花加工球面零件的过程进行了实验研究。

The catenoids are the only nonplanar minimal surface of roation, the right helicoids are the only skew ruled minimal surface of roation, but they can not be represented in form of NURBS.

悬链面是唯一的旋转极小曲面,正螺面是唯一的直纹极小曲面表示,它们在建筑和机械制造行业有广泛应用,但是它们都不能用NURBS精确表示,这个工程应用带来很多不便。

First, a map between the cones and tangent surface on C-Bézier curve und two-dimensional plane is found respectively and then a ruled surface between two Bezier curves is constructed and a sufficient condition on its developablity is given.

zier曲线上锥面、切线曲面的展开方法。然后,构造两条空间B?zier曲线上的直纹面,给出了它成为可展曲面的一个充分条件,并通过保角保长原则,将其贴合到平面上。

The space-like hypersurfaces with constant scalar curvature in a de Sitter space were studied and a pinching theorem on the square of the norm of the second fundamental form was obtained.

研究de Sitter空间中具有常数量曲率的类空超曲面,将Cheng-Yau的自共轨运算元口作用在对称张量T上,得到了这类超曲面关於第二基本形式模长平方的一个拼挤定理,加强了已有的相应结果。

The resarch studies the space-like hypersurfaces with constant square of length of second fundamental form in locally symmetric Lorentz spaces, Some sufficient conditions for the hypersurfaces to be totally umbilical are obtained.

研究局部对称Lorentz空间中第二基本形式模长平方是常数的类空超曲面,获得了这类超曲面是全脐的若干充分条件。

Let x be an immersion of a compact Willmore surface M into the n-dimensional unit sphere Sn. In this thesis we first consider the Willmore surfaces in the unit 3-sphere, and establish an integral inequality for the square of the length of the trace free part of the second fundamental form and the mean curvature.

令x是一个从紧致威尔摩曲面M到n 维单位球面Sn的浸入,在本论文中我们首先考虑3维单位球面中的威尔摩曲面并建立一个包含第二基本型式迹为零部份的张量长度平方与平均曲率之积分不等式。

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