如果能定量描述每一个尺度中图像的信息，这对于多尺度表示来说有着重要的作用。
It is important to measure the information of an image at a given scale and the loss between scales.
科学家们用“空洞”一词表示臭氧浓度低于220个多布森单位（多布森单位是用来度量大气中臭氧柱尺度的单位。
Scientists use "hole" as a metaphor for the area in which ozone concentrations drop below the historical threshold of 220 Dobson Units.
多方向多尺度变换能以更稀疏的方式表示图像的边缘和纹理等几何特征，有利于图像压缩。
The proposed transform could represent the geometrical features such as edges and texture more sparsely, which is of great benefit to image compression.
小波是表示具有点奇异性函数的最优基，它由于具有时-频局部化特点和多尺度特性，在图像处理领域得到了广泛应用。
Wavelet is the best base of functions, with point singularity, and it has wide application in image processing because of its time-frequency localization and multiscale features.
由信号小波变换的奇异点在多尺度上的综合表现来表示信号是小波变换引人注意的另一应用领域。
It is an attractive application field for wavelet transform because the signal is expressed by the comprehensive behavior of wavelet transform of singularity spot in multi-dimensional space.
提出了多尺度能量分解模型，提高了表示精度；
Multi-Scales energy decomposition model is proposed to improve the compression precision.
多尺度几何分析旨在构建最优逼近意义下的高维函数表示方法。
The aim of Multiscale Geometric Analysis is to find a kind of optimal representation of high dimension function in the sense of nonlinear approximation.
着重研究第二代Curvelet多尺度几何分析，对信号进行稀疏表示。
And focus on researching the second generation Curvelet sparse representation.
着重研究第二代Curvelet多尺度几何分析，对信号进行稀疏表示。
And focus on researching the second generation Curvelet sparse representation.
应用推荐