不变性

Experimental results on the trademark image database show that the extracted features can describe the image shape better,and have good invariant property under translation,scale and rotation.

实验结果表明，距离分布信息熵能有效地刻画出二值图象的形状特征，并且具有良好的平移、旋转及尺度不变性，检索结果符合人眼的视觉感受。

Pseudo-Zernike is a kind of region-based shape descriptor, the magnitude of pseudo-Zernike moments has rotational invariant property and there is no information redundancy.

图像的伪Zernike矩具有较强的旋转不变性，通常在模式识别中有着广泛应用。

Second, the theory of scale space was used to design a new operator for target detection and tracking. Then, the property of scale invariant was analyzed and proved, and a tracking scheme based on the gradient LOG operator was proposed. Experimental results show that the gradient LOG operator is appropriate to describe small target in complex background, and the detection precision is in the level of sub-pixel. Furthermore, it is efficient and robust to noise.

然后根据尺度空间的基本理论构造了一种针对该成像模型的目标检测算子，分析并证明了该算子具有尺度不变性的优点，设计并实现了基于梯度LOG算子的小目标跟踪方案，实验结果表明：梯度LOG算子能够较好地跟踪复杂背景中的光团目标，定位精度可达亚像素级，且具有计算量小，抭嗓声能力强等优点。

The result shows that the proposed indexing and matching algorithm performs well both in matching speed and in toleration of the non-linear deformation, besides its shift and rotation invariant property.

实验结果表明，本文提出的新的匹配算法除了具有平移、旋转不变性外，在匹配速度和容忍非线性形变方面具有良好的性能。

Owing to the approximate and detail coefficients at each level after decomposition using undecimated wavelet transform have the same length as the original signal, the transform can possess time invariant property and retain more characteristics in time domain, and therefore improve the effect of denoising.

由于非降采样小波分解后的各层系数和原始信号的长度均相同，因此在具备平移不变性的同时还能保留更多的时域信息，从而可以提高信号的降噪效果。

Second, the theory of scale space was used to design a new operator for target detection and tracking. Then, the property of scale invariant was analyzed and proved, and a tracking scheme based on the gradient LOG operator was proposed. Experimental results show that the gradient LOG operator is appropriate to describe small target in complex background, and the detection precision is in the level of sub-pixel.

然后根据尺度空间的基本理论构造了一种针对该成像模型的目标检测算子，分析并证明了该算子具有尺度不变性的优点，设计并实现了基于梯度LOG 算子的小目标跟踪方案，实验结果表明：梯度LOG 算子能够较好地跟踪复杂背景中的光团目标，定位精度可达亚像素级，且具有计算量小，抗噪声能力强等优点。

Aimed at low-SNR infrared images,the principle,invariant property and computational methods of Pseudo-Zernike moments are analyzed,and a method for low-SNR infrared target detection based on Pseudo-Zernike moments is proposed.

针对低信噪比红外目标图像，分析了伪Zernike矩的基本原理、不变性和计算方法，提出了低信噪比红外目标检测的伪Zernike矩方法，并比较了模板匹配、Hu矩、伪Zernike矩方法的目标检测效果。

The proposed indexing and matching algorithm performs well both in matching speed and in toleration of the non-linear deformation, besides its shift and rotation invariant property.

同时表明本文所提出的匹配算法除了具有平移、旋转不变性外，在匹配速度和容忍非线性形变方面具有良好的性能。

Being enlighten from the Schwartz KP equation,we give out a(3+1)dimensional conformal invariant equation that possessesPainlevéproperty.

我们利用已知的(2+1)维Kadomtsev-Petviashvilli方程的Schwartz形式，构造了一个具有共形不变性的Painlevé可积的(3+1)维的模型。

Each face mode has multisamples and genetic algorithm is applied to do the in-class clustering which get the solution most closed to the global optimization and the property of invariant recognition.

同一个模式有多个样本，通过遗传算法进行聚类，得到最优解从而实现不变性识别。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。