变换

By using in a sequence the eigen-decomposition,a permutation,the inverse discrete Fourier transformand a truncation on the matrix,an exact and explicit parametrization formula for Loop subdivision surfaces is proposed.

利用控制网格拓扑结构的对称性，通过将奇异点周围1-环和2-环的控制顶点进行离散Fourier变换得到分块对角阵，将其进行特征分解及排序之后，再通过离散Fourier逆变换和截断等操作得到细分矩阵的高次幂的表达式，从而得到Loop 细分曲面新的精确参数化公式

Aiming at solving these problems,the inverse log-polar transformation based on sub-pixel interpolation is presented.

针对这个问题，文章提出了子像素反向变换算法，新算法下的变换阵图像具有良好的连续性，同时减弱了马赛克现象。

A new algorithm of Arnold inverse transformation is proposed for the fact that the period of Arnold transformation depends on the image size.

针对Arnold变换的周期依赖于图像的阶数这一特性，提出了一种反变换算法。

According to the algorithm of inverse transform in AVS audio video coding standard, this paper proposes a highly efficient hardware architecture for implementing the inverse transform function on FPGA.

根据AVS音视频编码标准中提出的反变换算法设计了一个基于FPGA的高效的反变换实现框架和方案。

The eigenvalues of circulant matrices compose of the discrete Fourier transform of the first line, on the contrary, the elements of the first line can recovered from the Fourier inversion formula, all circulant matrices have the same eigenvector that with the same order.

循环矩阵的特征值由其第一行元素的离散傅里叶变换组成，并且第一行元素是特征值的傅里叶变换的逆，而且所有同阶循环矩阵的特征向量相同。

The diffusion structure has important impact on the rate of the diffusion and safety intensity for block cipher.Using the linear transform which has branch numbers as large as possible as the diffusion structure is a main method to devise block cipher.The linear transform is usually achieved by constructing the invertible matrix.

扩散结构的好坏直接影响了分组密码的扩散速度和安全强度，以分支数尽可能大的线性变换为分组密码算法的扩散结构是设计分组密码的一种重要方法，线性变换的构造可通过可逆矩阵的构造完成。

In this paper, we firstly introduce some basic properties of wavelet, which are involved in chapter one .secondly, we introduce orthogonal wavelet bases, scale function and scale equations etc.,which are involver in chapter two .

本文首先介绍了傅里叶变换和小波变换的由来以及一些基本性质，这主要体现在第一章，随后介绍了正交小波基以及尺度函数，尺度方程等概念，这主要体现在第二章。

With the application of the sampling theorem and the Fast Fourier Transform, two groups of numerical forms of the algorithm equations suitable for two kinds of FFT subroutines are derived. Finally, the measurement algorithm is fully tested by the measurement and calculation carrier out for an MMW irradiator.

在解析算法的基础上，应用采样定理和快速傅里叶变换，推导了分别适用于两种快速傅里叶变换子程序的数值算法公式，通过对一种毫米波辐射器的实际测量和计算对测量算法进行了整体检验。

Of arbitrary isogon of arbitrary linear symmetry transformation , breaking the forme .

这是关于任意正多边形关于任意直线的对称变换，打破了以前的只能对于一个固定的直线的对称变换，省去了关于固定直线对称时每次都要输入的麻烦

Of arbitrary isogon of arbitrary linear symmetry transformation , breaking the former only for a fixed linear symmetry transformation , eliminating the symmetry of the fixed line every time when the importation of trouble

详细说明：这是关于任意正多边形关于任意直线的对称变换，打破了以前的只能对于一个固定的直线的对称变换，省去了关于固定直线对称时每次都要输入的麻烦

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷