伸缩变换

The definition of Wavelet Analysis is that shifting the mother wavelet e.g. which has limited energy, such as shifting for, then proceeding dimensions, we obtained wavelet basis function ,, which make the inside product to the function to analysis With the Fourier transformation to the and, then the equivalent frequency spectrum of wavelet transformation can be expressed as where 、 are the transformations of 、 respectively and i is an imaginary number unit.

小波变换的含义是：把一具有有限能量的母小波，如进行移位后，再进行尺度的伸缩得到小波基函数为然后与待分析的函数作内积，即对和作Fourier变换后，可得到小波变换的等效频域表示为：其中、分别是、的Fourier变换，i为虚数单位。

In the second part a new set of rotation invariant features for image recognition is introduced.

这样，结果模式对平移、伸缩、旋转和倾斜变换都是不变的。

Using the quasihomogeneous properties of these vector fields and their induced metric, we get some results on A-B-P type estimate analogous to that of polarizable Carnot groups.

首先利用该向量场及其诱导的拟度量关于伸缩变换的拟齐性质，证明了与可极化Carnot群上非散度型方程相应的结果。

Taking advantage of retractility and time-delay characteristics of wavelet, this paper solves the problems of fixed resolving power and large redundance of the information caused by traditional sonogram analysis by choosing the scale of wavelet correctly.

本文将离散小波变换应用于蝙蝠回声定位叫声的分析中，利用小波的伸缩和时移特性，通过对小波尺度的适当离散，解决了传统语谱分析的分辨率固定、信息冗余量大的问题。

The forms of all physical laws must remain fixed under the stretching transformation.

所有物理定律的形式都必须在伸缩变换下不变。

The transformation relationships among the various physical quantities measured from O and S are known as stretching transformation.

从O、S测得的各种物理量之间的变换关系称为伸缩变换。

As the above equation is a transcendental one, it cannot be solved readily. Through some appropriate mathematical transformation, however, a calculating equation for practical use is established.

由于该公式是一超越方程式，无法直接求解，为此，作者又从数学上作了适当的函数变换，通过变换，最后建立了两端球铰的伸缩油缸临界力的计算公式。

In order to improve the sensitivity in phase of Gabor filters, we introduced the rotation and scale invariant filters for texture segmentation based on the circular transform and Mellin transform and their rotation and translation invariant.

并在此基础上，利用圆周变换和Mellin变换的旋转和平移不变性，讨论了具有旋转和伸缩不变性的纹理分割滤波器，以克服Gabor滤波器的相位敏感性缺点。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。