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.
曲波变换是一种新的多尺度变换理论，具有各向异性的特征，可以很好地逼近含线奇异的高维函数。
Curvelet is a new multiscale transform theory, which has the characteristics of anisotropy. It can approach a high dimensional function containing line singularity better.
通过研究MST的性质及与M带多尺度函数的逼近阶的关系，利用MST可以对M带多尺度函数的逼近阶进行提升。
MST has relation to approximation order. One can increase approximation of M-band multiscaling functions with help of MST.
将这种方法用于卫星跟踪卫星，建立了地球重力场逼近的多尺度方法。5 .基于球面小波变换的冗余性，证明了利用球面小波进行重力位逼近具有最小。
Based on the redundancy of spherical wavelet transformation we proved that using spherical wavelet to approximate the earth gravity field has the least square properties.
将这种方法用于卫星跟踪卫星，建立了地球重力场逼近的多尺度方法。5 .基于球面小波变换的冗余性，证明了利用球面小波进行重力位逼近具有最小。
Based on the redundancy of spherical wavelet transformation we proved that using spherical wavelet to approximate the earth gravity field has the least square properties.
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