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According to the variation, features of the integrand, the value s of peaks and troughs are taken out and formed a slowly convergent series, and the repeated averaging scheme is performed to calculate the limit rapidly and accurately.

根据被积函数的变化特点,将波峰和波谷值抽取出来组成慢收敛序列,利用重复平均法快速而准确地求出其极限值。

In this paper,we solve convolution equation based on Vandermonde Matrix and the method of image displacement elimination in space domain that we propose,so that we can reconstruct sectional image quickly.

本文利用Vandermonde矩阵求逆的特性和我们提出的空间域图像移位消去法,可以用较少的计算量求解出卷积方程组,从而快速重建断层像。

We propose a new method-image displacement elimination method, it overcome shortcomings of FDDI and can solve convolution equation set in space domain quickly.

我们利用Vandermonde矩阵求逆的特性和我们提出的空间域图像移位消去法,可以用较少的计算量求解出卷积方程组,从而快速重建断层像。

Leastsquare method and Lagrange's interpolation formula see their applicationsfor fitting fore-and-aft lines-whose aim is to calculate the intersection point ofequivalent inclined waterline-and differences. In order to replace theinconvenient alternate conduct of drawing and calculating, improvement hasbeen introduced into the paper which means all work can be done bycomputer. Capacity calculation cannot be done without boundary layer build-up. Fit every area curve and area moment curve is necessary because ofinterpolation.

在第二章中,给出了B样条函数的数学表达形式,推导了B样条曲线下所围面积、面积矩公式;讨论了最小二乘法和拉格朗日插值法的数学形式,并在拟合船体型线上给出首、尾轮廓线的具体实例,对比不同方法进行拟合的差异,其目的是为了求得与等体积倾斜水线的交点;而水线的确定改变了以往人工作图与计算交替进行的不足,尝试用计算机完全代替人工作图,以求有所改进;在舱容计算中,在至少包括舱室前、后壁的范围内拟合横剖面积、面积矩曲线,插值求得任一纵向位置处的剖面,以解决舱室边界条件。

In order to reduce the computation complexity of the matrix-vector product and the iterative times in the process of matrix inversing, a new wavelet-like preconditioning operator based on the lifting scheme is used.

一种新的基于提升法的类小波变换预处理算子的使用,降低了矩阵向量积的计算复杂度和求逆过程中的迭代次数。

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