平移不变性

利用小波变换良好的能量集中性与平移不变性等优点，提出了一种基于小波变换的二维CAD工程图可逆水印算法。

Utilize the advantages of good energy concentration and translation invariance of wavelet transform , and presented a reversible watermarking algorithm for two-dimensional CAD engineering graphics based on wavelet transform .

复数小波变换具有平移不变性和多方向选择性，适用于图像去噪。

Complex wavelet transform has translation invariance and directional selectivity , and it is suitable for image denoising .

但DWT不具有平移不变性，若不用相同的小波时滤波后的信号进行重构，则会带来较大的重构误差。

If the signal reconstruction is not with the same wavelet , it will bring greater reconstruction error .

ESPRIT利用了阵列在一个方向上的平移不变性，从而可估计信号的一个方向。

ESPRIT can estimate one direction of signals utilizing a single shift-invariance property of the sensor array .

利用该映射给出了p-adic数域Qp中测度的构造理论，证明了该测度具有平移不变性。

By means of this mapping we develop the theory of constructing the measure in p-adic number field Q_p .

图像预处理后提取具有旋转、尺度、平移不变性的Hu矩作为特征矢量并归一化，在训练阶段引入聚类分析。

The Hu moments , which are rotation , scale and translation invariant , are extracted as feature vector and normalized after image preprocessing as mentioned above , and clustering analysis is applied in the training phase .

通过我们构造的q-Schur代数的拟遗传商之间的这批同构对应所得出的平移不变性，体现了量子GLn模范畴研究的局部整体原则。

The family of isomorphisms between the quasi-hereditary quotients of the quantized Schur algebras we constructed reflects the " local to global " principle in the study of quantum GL_n .

NSCT具有良好的多分辨率、平移不变性和多方向性等特点，它能够对图像的边缘和轮廓给出一种最优渐进表示。

NSCT has characteristics of good multi-resolution , shift-invariance and high directionality . It can give an asymptotic optimal representation of edges and contours in image .

通过时频分布特别是Cohen类时频分布的平移不变性，将连续Cohen类时频分布扩展到离散Cohen类时频分布。

In this paper , the continuous Cohen classes distribution is extended to one type of discrete Cohen classes distribution , since all the quadratic time-frequency distribution are covariant to time shifts and frequency shifts .

非下采样Contourlet变换具有各向异性和平移不变性，其系数反映了图像的纹理和细节。

The subbands coefficients of NSCT can reflect the texture and details of image . NSCT has anisotropy and translation invariability .

在虹膜图像的分割阶段，采用改进的Canny边缘检测加改进的Hough变换法定位虹膜内外边界，采用改进的Canny边缘检测加分块Radon变换法分割上下眼睑，阀值法剔除睫毛，从而达到平移不变性。

In iris segmentation stage , the algorithms of Canny edge detection and Hough transform are improved to detect the outer and inner boundaries of iris . The improved Canny edge detection and block Radon transform are used to isolate the eyelids .

高散射介质中光子扩散成像的线性平移不变性

On the Linear Shift Invariance of Photon Diffusive Imaging in High Scattering Media

平移不变性在图像处理和模式识别等应用中具有十分重要的意义。

Translation invariant lies at the heart of many image processing and pattern recognition .

模式识别协同算法的平移不变性

Translation Invariance of Synergetic Algorithm for Pattern Recognition

空间平移不变性与动量守恒的严格证明

An Exact Derivation of Conservation of Momentum for Quantum System Under Invariance of Translation in Space

静态小波变换的最大优点是具有平移不变性。

The main advantage of the stationary wavelet transform is the translation invariance of the wavelet coeffi-cients .

该变换具有多分辨率、多方向选择性和良好的平移不变性，同时，包含丰富的相信息以及相对较低的冗余度。

Which is multi-resolution , multi-directional selectivity , nearly shift invariance , rich phase information and low redundancy .

针对此问题，提出了一种具有平移不变性基于离散小波框架的多传感器图像融合方法。

To solve this problem , a shift invariant fusion approach based on discrete wavelet frames was developed .

非采样提升小波具有了平移不变性，使得对于图像的边缘特性表示稀疏有效。

Non-sampling lifting wavelet has translation invariance , which is effectively sparse for the edge of the image features .

算法引入具有平移不变性和良好的方向分析能力的双树复小波变换对源图像进行多尺度分解；

Shift invariant and directionally selective dual tree complex wavelet transform was introduced for source image ′ s decomposition .

这种变换关系保证了图像变换平移不变性和规模不变性，从而保证了全局优化的结果。

The transform assures the invariability of the image 's moving and scale , and obtains the optimal solution .

普通的离散小波变换对信号的起始位置非常敏感，不具有平移不变性。

Traditional discrete wavelet transform , which is sensitive to the position of the signal , is not shiftable .

不变矩是图像的一种统计特征，具有平移不变性、旋转不变性和比例不变性，广泛应用于图像识别。

Moment invariant is invariable under shifting , scaling and rotation , and is widely applied in pattern recogni-tion .

该方法具有尺寸、旋转和平移不变性，在识别过程中获得了很好的效果。

This method is also translation-rotation-scale invariance and the effect of identification is good , which is provided by experimentations .

根据有源核内部的平移不变性导出了界面声子的色散关系。

Based on the translation invariance in the interior of the active core , an implicit dispersion relation is derived .

本文对基于小波变换的图像去噪方法进行了深入的剖析，并针对具有平移不变性的小波进行了讨论。

In this thesis , wavelet image denoising methods have been analysed , and the shift-invariance wavelets have been discussed .

由于二进小波变换具有平移不变性，从而在模式识别和信号的奇异性检测中获得广泛应用。

Because the dyadic wavelet transform possess translational invariability , it is widely used in mode identification and signal sigularity detection .

对偶树复小波变换具有近似的平移不变性、良好的方向选择性，与此同时，它还具有完全重构特性。

The dual tree complex wavelet transform has the properties of approximate shift invariance , good directional selectivity and perfect reconstruction .

通过与实小波包相同算法的比较，验证了本算法的平移不变性。

By contrast with real wavelet pocket using the same line selection method , shift invariant of the proposed algorithm is verified .

由于一致性风险测度公理中的平移不变性公理存在不合理性，故可将该该公理从一致性风险测度公理中去掉。

This paper indicates that the translation axiom , which is one of the coherent measures of risk axiom , is not reasonable .