For a system, Hamiltonian is invariant under any translation of spatial coordinates.
对于一体系，哈密算符在任何空间坐标变换下是不变的。
The basic idea is to get the compacting shape first which is invariant to translation and scaling distortion by using Leu`s shape compacting algorithm.
这种基本思想是首先得到压缩图形，这种图像是通过使用Leu图像压缩算法得到的，与平移和缩放扭曲无关的。
Power line communication; wavelet transfom; channel noise model; translation invariant; denoising method
电力线通信；小波变换；信道噪声模型；平移不变量；消噪方法
In addition, since the daydic wavelet transform constructed in this thesis has such properties as translation invariant, zero symmetric (anti-symmetric), fast decreasing etc., it is a very useful tool for signal processing and analysis.
另外，由于本文中构造出的二进小波变换具有平移不变性、零对称性、速降性、高通滤波性等特点，它为边缘检测测、分类与刻划提供了一个强有力的工具。
These representations are essentially invariant under rotation, uniform scaling, and translation of the curve.
根据这几种表示法，即使旋转、缩放或者平移图像，其形状也基本不变。
In this paper, we propose a new approach to recognize occluded objects. The information of the magnitude of the local extreme of the open angles in the contour of a model at a scale, the information of the distance and relative location between the two adjacent dominant points are suitably integrated as a set of features for describing a model, the features are invariant under rotation, uniform scaling, and translation of the curve.
该文提出了一种新的识别有遮挡目标的方法，即将目标模型和含有目标的遮挡图象的轮廓在某一尺度上张角的极值、极值点之间距离、相对位置等信息集成在一起，作为描述目标模型的一组特征，且这组特征在平移、旋转和均匀尺度变换下保持不变。
This paper analyses the influence of scale factor on moment invariant features in discrete, constructs a new moment invariant with both scale, translation and rotating invariance.
分析了在离散状态下比例因子对不变矩特征的影响，构造了一种新的不变矩，使其具有平移、旋转和比例因子的不变性。
Rotation, scaling and translation attacks can desynchronize watermark detection, thus making many watermarking systems fail. In this paper, an image adaptive RST invariant watermark is proposed by using the rotation invariant property of pseudo-Zernike moments and odd-even quantization.
针对旋转、缩放和平移等几何攻击能够破坏水印检测的同步性，容易使常规水印算法检测失败的问题，利用图像伪Zernike矩的幅度具有旋转不变的性质，结合奇偶量化，提出了一种图像自适应旋转、缩放和平移不变水印算法。
In reparametrization with arcs length, the curvature and torsion is invariant to translation and rotation transformation. The curvature and torsion are views as feature sets.
无论是二维碎片物体还是三维碎片物体的形状复原问题，皆看成是特殊的物体识别问题，其特殊性就是在处理的方法上采用基于轮廓线的匹配来识别。
Both camera were set with the same fixed mode of optical center. Fourier-Mellin invariant descriptor and phase correlation technology were utilized to get projective matrix including rotation, translation and scale parameters. A seamless technology was used to smooth the discontinuous of the luminance transform.
两摄像机采用具有相同的光学中心固定方式；利用Fourier-Mellin不变描述子和相位相关技术，计算相邻图像序列之间的映射关系，包括旋转、平移和尺度变换参数；拼接中采用无缝缝合，实现对光照不连续的平滑过渡。
It selected corners as features, removed influence of image stretch, skew, rotation, and translation by calculating affine invariant, so matching accuracy and speed were improved.
该算法使用角作为图像匹配选取的特征，通过仿射不变处理，消除图像缩放、扭曲、旋转和平移等变化产生的影响，提高了特征匹配的精度和正确匹配率。
The feature has invariant character for translation, rotation and scale, and some degree of tolerance for affine transformation.
此特征不但具有二维的平移、旋转和尺度不变性，同时对由仿射变换引起的形变也具有一定容忍度。
From the properties of Radon transform, the translation and rotation invariant is derived from the polar Fourier transform.
根据Radon变换的属性，可以从极傅立叶变换推导出一种旋转和平移不变量。
A Fast Denoising Algorithm Based on Translation Invariant for Laser Gyro Signal
基于平移不变量的激光陀螺信号快速滤波方法
The method based on orientation entropy is proposed for incomplete fingerprint to extract the Region of Interest (ROI). The global characteristics, core and delta, are invariant to translation, rotation, expansion and reduction of fingerprints.
研究基于方向熵的残缺指纹感兴趣区域提取算法。指纹的两类最重要的全局特征是中心点和三角点，它们具有平移不变性、旋转不变性、伸缩不变性。
The algorithm can adapt to object recognition, invariant not only under rotation? scaling? translation, but under affine and projective transformation.
算法不仅能适应目标物体在旋转、缩放、平移变换下的不变性识别.而且能适应仿射及射影变换下的不变性识别。
Generalized simple exclusion processes with potential translation invariant probability
具有有势平移不变迁移的广义简单排它过程
This paper combines the morphological filter with the translation invariant lifting wavelet method to remove baseline drift and high frequency noise in pulse wave.
首次采用形态学方法和平移不变量提升小波阈值法级联的综合滤波算法实现脉搏波信号的基线矫正和高频干扰去除。
The comprehensive method combines their good merits. Morphological filter has small computational work and a high processing speed. Its performance in removing baseline drift is nearly perfect. Translation invariant lifting wavelet method has excellent performance in high-frequency noise removing.
综合方法将形态学滤波器在滤除基线漂移方面运算量小，速度快的优点和平移不变量提升小波阈值去噪法优良的高频消噪性能结合起来，在低信噪比环境下有效提取了脉搏波信号。
Moreover, the multiresolution implementation of the registration algorithm based on a rotation - and translation-invariant wavelet and on a coarse-to-fine updating strategy effectively reduces the searching region and ensure that the algorithm can reach the global maximum.
通过一种具有平移和旋转不变性的小波分解实现算法的多分辨率形式，能明显加快算法的收敛速度并保证搜索结果的全局最优性。