变换点

Detection on signal singularity point is also discussed in this thesis. Lift Wavelet this text also discussed lifting wavelet usage in other fields, such as: Detection on signal singularity point, Image fusion. Experiment enunciation, Lifting wavelet to all has a good performance in these aspects.

另外本文还用提升小波实现了变换信号奇异点的检测以及基于加权融合策略的图像融合；实验表明，提升小波在图像处理的其他方面也有很好的处理效果。

Taking advantage of gauge transformation and dipolar approximation, we qualitatively derive rotating Bose-Hubbard model.Then finite temperature phase boundary between superfluid phase and normal state in rotating Bose-Hubbard model is analytically derived by studying the stability of normal state in rotating bosonic optical lattice.We also analytically prove that as the function of rotation angular velocity the oscillation of critical hopping matrix directly follows the upper boundary of Hofstadter butterfly.

4通过做一个规范变换和偶极近似，定性地推导了旋转Bose-Hubbard模型，并且通过研究正常态不动点的稳定性推广了旋转Bose-Hubbard模型的零温相图到有限温度的情形；另外根据系统有效的能带宽度与旋转速度的关系(Hofstadter蝴蝶)，得到了系统的临界跃迁矩阵随旋转速度的改变展示谐振行为的结论。

Due to the sensitivity of Guass wavelet to the flex points of the signal and the multi-scale analysis of the wavelet resolution,the abruptly changing points at the interface of stratigraphic sequence shown from the logging curve can be revealed clearly by Gauss wavelet transformation of logging data .

在层序地层单元的分界面上，测井曲线表现为突变，而高斯小波对信号突变点具有敏感性和多尺度分析特性，因此测井数据的高斯小波变换能够表征这种突变。

The definition, operation, properties, geometric meaning of quaternion and its three expressions are discussed. It is also demonstrated how to use quaternion to transform points.

本文详细叙述了四元数的这一功能，讨论了四元数的定义、运算、性质、几何意义和它的3种表达形式，给出了使用四元数处理点的各种几何变换的一般结论。

A novel method to estimate the geometric manipulation is reported in this paper.

文章提出了一种新的估计几何变换的方法，它利用图像的形殊点来实现这个目的。

According to the feature of drawing crystal shape from gnomonic projection,a data structure (the single 3 table chain structure )is presented.

根据极平投影绘晶体形态的特点，建立了一种数据结构———单链三表结构，此结构由面表、线表、点表组成，能充分反映晶体形态的拓扑信息和几何信息，并在此基础上设计了一种适合于变换和消隐处理的数据结

The properties of Delaunay triangulation guarantee the following things:Once the fingerprint is given, that is a group of 2-D points are given, the Delaunay triangles are exclusive.

这在我们的应用中也是非常重要的，因为对指纹图像所进行的几何变换量的计算，是基于特征点矢量三角形的，狭长三角形会导致不稳定性甚至产生错误结果。

A planetarium instrument is housed in the center of a room with a hemispherically domed ceiling; the instrument projects points of light to the ceiling to simulate the night sky from various perspectives (seasonal, or historical views of the Earth-sky relationship).

大型穹顶天文天象仪被封装在一幢房子里，落成在其中一个房间的中心，房顶是半球型活动的天花板，通过将光点投射在屋顶天花板上，来模拟夜空中天象的季节变换和历史上著名的地球天象情景。

Before separating, we mark three points which are not collinear of the object firstly; secondly we use homogeneous coordinates and normalization to deal with the date we measured, which can make the date work for the system we developed.

在分开待测物之前先标定待测物体不共线的三个点，在分开以后进行坐标变换还原数据，然后归一化所得数据，使数据直接应用于系统。

In this article, it is introduced the different methods (identical point, transformation of image and so on)of image registration based on the transformation of image.

医学图像配准是指对于一幅医学图像寻求一种空间变换，使它与另一幅医学图像上的对应点达到空间上的一致。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。