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This technology not only preserves the properties of localness and affine-invariance of B-spline surface, but also has some special advantages such as adaptability to arbitrary topology which parameter surfaces dont have. These good qualities makes subdivision surface used widely in recent years.

它不仅具备B样条曲面的局部支承性、仿射不变性等良好性质,而且具有参数曲面所没有的任意拓扑适应性等特点,因而近年来得到广泛的应用。

After analysing the existing smooth orientation interpolation methods we proposed a smooth orientaion interpolation method based on cubic cardinal spline in quaternion space. This method possesses the following advantages: interpolation, C〓 continuity, accurate evaluation of the quaternion value at arbitrary parameter, transparent to the users, adjustable parameters for controlling the velocity of orientation change.

在分析现有的朝向光滑插值方法基础上,提出了基于四元数空间三次C样条的朝向光滑插值方法,该方法具有插值、C〓连续、任一参数处的四元数值可精确求得、对用户透明、可以用参数调节关键帧处物体朝向变化的速度等优点。

In Chapter 2, one kind of rational cubic spline interpolation with linear denominator has been proposed, whose derivatives are replaced with accurate derivative values, difference quotient and arithmetic average difference quotientrespectively.

第二章给出了一类分母为线性的有理三次插值函数,当其导数值分别取为导数的精确值,一阶差商,以及算术均差商时,便得到三种插值格式,分别为给定导数值的有理三次插值函数,基于函数值的有理三次插值函数,以及基于算数均差商的有理三次插值函数。

The algorithm uses the wavelet decomposition and reconstruction in multi-resolution editing B-spline curves and transforms a zonal matrix or sparse matrix to a row simplified matrix using the properties of the augmented matrix of the system of linear equations,which is a zonal matrix or sparse matrix,by elementary row operation.

该算法利用方程组的增广矩阵为类带状矩阵或者稀疏矩阵这一特点,运用简单的矩阵的行初等变换,将类带状矩阵或者稀疏矩阵化成容易接受的行简化矩阵,解方程组,使小波分解与重构的过程快速准确,使从事相关工作的技术人员更容易理解和接受。

The main idea of this article is how to improve the resolution and precision of photoelectric Autocollimator, contains next aspects: 1, How to improve the resolution of imaging apparatus with Cubic Spline Interpolation Functions.

本文针对如何提高光电自准直仪的分辨率及精度进行研究,研究内容表现在以下几方面: 1、将三次样条插值应用到成像器件的细分中,提高自准直仪成像器件的分辨率。

The position system by back bearings of main shaft is adopted to prevent vibration caused by spline and ensures current of main motor stable and extends service life of rollers and dies.

采用主轴后轴承定位系统,避免主轴花键间隙造成晃动,制粒机主机电流平稳,延长压模压辊使用寿命。

By cubic spline interpolation and search, the optimum combination was discovered. It was as follows: pH6.51, temperature26.6, time13.8d, quantity of beef extract 2 - 2.5%, the inoculation quantity 21.5%,inorganic salt 0.152%.

对插值所得的结果,通过计算机搜索得到多糖产量达最大值时的组合为:pH值为6.51、温度为26.6℃、培养时间为13.8d、牛肉膏用量为2~2.5%、接种量21.5%和无机盐浓度0.152%。

These curves contain a shape parameter which can adjust the softness of curve and have the same continuity with the original B-spline. In succession, using the positive conditions of Bernstein polynomial to find a range in which the shape parameter takes its value so as to make the corresponding interpolating curves monotonicity-preserving and C~2 continuous.

利用奇异混合的思想构造出一类带有形状参数的多项式样条曲线,即均匀α-B样条曲线,在无需反求方程组、迭代过程和最值求解的情况下就能轻松做到插值给定的点列;它含有形状参数α,这就增加了曲线的柔性,同时又和原B样条曲线具有相同的参数连续性。

In this method, surface interpolation based on Biharmonic spline was used for image spatial mapping.

本文提出一种图像变形方法,利用Biharmonic样条曲面插值实现空间映射,采用后向映射和双线性插值进行图像重采样。

Subline matching method based on binary system small wave transform is proposed, which expliots the character that the model maximum point of spline binary small wave transform coefficient at different scales can provide position information of signal's fast changing point. The matching scheme from thick to thin for point matching is adapted. Then, the point to point matching is calculated with the sequence consistent principle in each subline.

设计基于二进小波变换的子线段匹配方法,通过求解样条二进小波变换系数在不同尺度下的模极大点确定不同尺度下信号急速变化点位置,采用由粗到细的匹配策略匹配端点,再对端点之间的每一个子线段采用顺序一致的原则,进行点对点匹配。

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Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上,利用各种方法求得各种逻辑型、结构型控制器,解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面,有讨论,工程理事会和联盟关于延长工作时间短至9月底。

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