1) translation invariance
平移不变性
1.
The translation invariance of divide exactly on the integral coefficients polynomial
整系数多项式的整除平移不变性
2.
This paper gives the definition of grey topological linear space for the first time, andproves that it has some characters similar to those of ordinary topological linear space,suchas translation invariance,balance and absorbability.
给出友拓扑线性空间的定义，证明它具有与普通拓扑线性空间相类似的性质，如平移不变性，均衡性，吸收性等。
3.
NSCT has not only the properties of multi-resolution and multi-direction, but also the property of translation invariance, which is useful in eliminating the Gibbsphenomenon.
与Contourlet变换相比,非下采样Contourlet变换不仅具有多尺度、多方向特性,同时还具备平移不变性。
2) shift-invariant
平移不变性
1.
Like the contourlet transform method,the presented method can obtain multi-scale and multi-direction images with good multi-resolutions,and it is also shift-invariant.
该方法既保留contourlet变换方法良好的多分辨率特性,又具有平移不变性。
2.
Because the transform is not shift-invariant,cycle spinning is employed to restrain the distortion near the image edges.
并引入了循环平移消除由于小波-Contourlet变换缺乏平移不变性而产生的图像失真。
3.
Stationary Contourlet transform with shift-invariant was applied to image denoising,which could capture the intrinsic geometrical structure of image.
应用平稳Contourlet变换,具有平移不变性,且能有效表示图像几何纹理信息。
3) shift invariance
平移不变性
1.
Based on lifting wavelet transform,the nonsampled lifting wavelet transform with the trait of shift invariance was obtained by cancelling the odd and even split process of lifting wavelet transform.
该算法在提升小波变换的基础上,通过取消其奇偶分裂环节,得到具有平移不变性的非采样提升小波变换。
4) shift invariant
平移不变性
1.
The construction of NonSubsampled Directional Filter Bank(NSDFB) and àtrous wavelet transform which is full shift invariant are introduced,and a novel multi-sensor image fusion scheme based on NSDFB combining àtrous wavelet transform for multi sensor images is proposed.
分析和研究了非下采样方向滤波器组及具有平移不变性的àtrous小波变换的图像变换的优点,提出了一种基于多方向àtrous小波变换的图像融合方法。
2.
The construction of Nonsubsampled Directional Filter Bank(NSDFB) and undecimated wavelet transform which is full shift invariant are introduced,and a novel multi-sensor image fusion scheme based on NSDFB combining undecimated wavelet transform for multi sensor images is proposed.
本文分析和研究非下采样方向滤波器组及具有平移不变性的非抽样小波变换的优点,提出了基于方向非抽样小波变换的图像融合方法。
3.
The theoretical model was established in detail,the properties of rotation and shift were theoretically and practically analyzed to conclude its shift invariant speciality.
基于归一化频谱相关模型,对物体平移和旋转后的基频模进行了理论分析和实验论证,得出了物体基频模具有平移不变性的特性。
5) translational invariance
平移不变性
1.
Nonperturbative vacuum average value of two point function of two gluon with translational invariance is evaluated.
在洛伦兹规范条件下，导出了具有平移不变性的双胶子两点函数非微扰真空平均值。
2.
We adopt the Lorentz gauge to derive the non local two gluon vacuum expectation value (VEV) with translational invariance.
采用Ｌｏｒｅｎｔｚ规范导出了具有平移不变性的非定域两胶子真空期待值
6) linearshiftinvariance
线性平移不变性
补充资料：半群的平移
半群的平移
translations of semi-groups
半群的平移【。习硬妇“创附of涨”‘一孚仪.声;c则爪，刃-rP担n」 半群的满足如下特殊条件的变换:半群(senll-gro印)S的右平移(rigllttl刁l招lat10n)是使得对任意x，y任S有(x夕)p二x份p)的变换P;左平移可类似定义.为方便计，左平移通常写作左算子.于是，S的左平移(leftt几In slation)是使得对任意x，y〔S有双xy)=(几x)y的变换几.两个左平移(见变换半群(tl习nsfon议ltion sen卫g旧叩))的连续作用从右到左写.半群的两个左(右)平移的积自身也是左(右)平移，从而S的所有左(右)平移的集合A(S)(尸(S))形成对称半群L爪的一个子半群.对任意“‘S，由又。x=“x(xp。二x“)定义的变换又。(p“)是相应于“的左(右)平移，称为内左(右)平移(~left(right)tmnslation).5的所有内左(右)平移的集合A。(S)(p。(S))形成A(S)(p(S))的一个左(右)理想. S的左平移又和左平移p称为连接的(h企曰)，如果对任意x，y6s有x(几力=(xp)夕;此时，偶对(又，p)称为S的双平移(bi~trans城ion).对任意“CS，(又“，p。)是一个双平移，称为相应于a的内双平移(~rhi，t份nS】ation)在且仅在具有恒等元的半群中，每个双平移是内的.5的所有双平移的集合T(S)形成】头scart巴积A(S)xP(S)的一个子半群，称为S的平移包(tnlns城ionh山).所有内双平移的集合不，(S)形成T(s)的一个理想，称为T(s)的中司‘(inner part)·由T(a)=(几。，。“)定义的映射::S，不，(S)是S到T0(S)上的同态，称为典范同态(c~血al homomorp比m).半群s称为弱约化的(认屺ak】y耐ucti货)，如果对任意a，b6s，由关系“.‘二bx与义“二%b关于所有xes成立可推出u二b，即S的典范同态是一个同构.若S是弱约化的，则T(S)等于兀，(S)在A(S)Xp(S)中的理想化子，即A(S)x尸(S)的包含几(S)作为理想的最大子半群. 半群的平移，特别地，平移包在半群的理想扩张(见半群的扩张(extension of a semi一gro叩))的研究中起着重要作用，其中平移包的作用在一定程度上类似于群论中群的全形(ho10rnorph of agfo叩)的作用.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条