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spline weight的中文,翻译,解释,例句

spline weight

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Though comparing Canny operator and center B spline dyadic wavelet, the following conclusion is proven in this dissertation: a Center B spline function has tight support and Canny operator hasn't. b Center B spline function asymptotic convergence to Gaussian function and the derivative of Center B spline function asymptotic convergence to Canny operator. c The derivative of fourth order center spline B function is more suitable as a optimal edge detector than Canny operator. d Center B spline function can balance the smoothing and approximation of original data, and the fourth center B spline function is the only optimal solution of two order smoothing problem. e The error between the valve of time-frequency uncertainty of the fourth center B spline function and the lower bound of time-frequency uncertainty does not exceed 0.143% of the lower bound. f The derivative of center spline B function can construct a stability dyadic wavelet and can give a fast algorithm for multiscale edge detection, but Canny operator can do neither.

作者给出了Canny算子与中心B样条二进小波严格的比较证明,得出如下结论:a中心B样条函数具有紧支集,Canny算子不具有紧支集。b中心B样条函数的极限收敛于高斯函数,中心B样条函数的导数收敛于Canny算子。c四阶中心B样条函数的导数比Canny算子更接近最佳边缘检测滤波器。d中心B样条函数比高斯函数更能兼顾对原函数平滑和逼近的折中要求,并且四阶中心B样条函数是二阶逼近问题的唯一最优解。e四阶中心B样条函数的时频测不准关系值与时频测不准关系下界的逼近误差不超过0.143%。f中心B样条函数的导数可以构成稳定的二进小波,存在快速的多尺度算法;而Canny算子不构成稳定的二进小波,无法给出快速的多尺度算法。

In this paper, we have made a systemic theoretic research on modelling and reshaping several types of spline curves/surfaces in CAGD. And some creative productions are given as follows. At first, the uniform C-B-spline basis is proved to be a normalized totally positive basis, and can be extended to a normalized B-basis. C-B-spline and C-Bézier basis, similar to B-spline basis and Bézier basis in algebraic space, are two bases in algebraic trigonometric space.

本文围绕着CAGD中常用的几种曲线曲面造型和形状调整进行了深入的研究,主要获得了以下一些成果:首先,证明了代数三角空间中的n次均匀C-B-spline基是一组标准全正基,并进一步扩充为一组标准B基。C-B-spline基与C-Bézier基是多项式与三角混合空间中的两组基,是适应工程实践中设计特殊曲线曲面的需要而产生的,类似于多项式空间中的B-spline基与Bézier基,是CAGD中重要的造型工具。

Experiments show that C-B spline curve, uniform B-spline with shape parameter, hyperbolic polynomial uniform B-spline with shape parameter and trigonometric polynomial uniform B-spline with shape parameter can be used to produce some frequently used free form curves in the industrial field when the shape parameter is assigned with some specific values.

通过调整形状参数来修改曲线形状是计算机辅助几何设计中一个非常活跃的研究课题,研究形状参数的变化对样条曲线形状的影响,对于增加曲线造型的灵活性是非常必要的。

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balance weight drive gear spline:平衡重驱动齿轮花键

balance weight bushing;平衡重衬套 | balance weight drive gear spline;平衡重驱动齿轮花键 | balance weight gear tooth;平衡重齿轮齿