尺度不变性可用分形和多重分形模型来表征。
Scale invariance can be described by means of fractal and multifractal models.
岩土体材料大都表现出分形分布，具有自相似性特征或尺度不变性。
The geotechnical materials mostly show fractal distribution, and they have self-similar or scale invariability.
分形几何是研究在自相似意义下事物所具有的尺度不变性的数学分支。
Fractal geometry is about things have scale invariance in self-similar meaning, it is the mathematical branch.
实验结果表明，圆周积分投影和圆周梯度积分投影曲线具有良好的旋转和尺度不变性。
The experimental result shows that the curves corresponding to circular integral projecting and circular grads integral projecting own excellent steadiness when target rotates and flexes.
本文讨论根据较一般的目标函数模型（3）建立具有非线性尺度不变性的算法的理论依据。
This paper discusses the algorithms invariant to nonlinear scaling for more general objective function model( 3 ).
实验结果表明，该方法在复杂场景下可以获得较高的识别率，具有平移和尺度不变性等特点。
Experimental results show that this method can get higher recognition rate, with the property of translation and scaling invariance.
实验结果证实了该算法角点定位的准确性、旋转不变性，具有一定的尺度不变性和抗噪声能力。
Experiments are performed to show that the proposed algorithm can locate corners accurately, is rotationally invariant, has scale invariant property and is insensitive to noise contamination.
且获得的图像特征描述符具有旋转、平移、尺度不变性等优点，能够很好地描述图像的形状和空间分布信息。
And the image feature descriptor has a rotation, translation, scaling invariance, etc. it can be a very good to describe the shape and spatial distribution of information.
解决了尺度变化、旋转和平移不变性问题。
Problem on scale-invariance, rotation-invariance and translation-invariance can be solved with this method.
利用支持向量机构造的支持向量值轮廓波变换是一种具有多尺度、多方向和平移不变性的图像表达方法。
Support vector value contourlet transform, which is constructed by support vector machine, is a new kind of image representations which is of multi-scale, multi-direction and shift-invariance.
预处理过程中对虹膜的精确定位，使定位后的虹膜图像具有平移、尺度和旋转的不变性。
Precision locating for iris in the process of preprocessing makes iris image have invariance in translation, size and rotation.
人耳的角度变化和遮挡是人耳识别中的难点问题，SIFT局部描述算子具有对图像尺度缩放、平移、旋转等的不变性，因此提出利用SIFT特征的人耳识别算法。
The variety of ear angle and occlusion are the difficulties of ear recognition. The Scale Invariant Feature Transform(SIFT) is invariant to image scaling, translation and rotation.
人耳的角度变化和遮挡是人耳识别中的难点问题，SIFT局部描述算子具有对图像尺度缩放、平移、旋转等的不变性，因此提出利用SIFT特征的人耳识别算法。
The variety of ear angle and occlusion are the difficulties of ear recognition. The Scale Invariant Feature Transform(SIFT) is invariant to image scaling, translation and rotation.
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