对时间序列InSAR的形变模型问题展开研究。首先从干涉相位模型解算的方法入手，针对线性形变模型当干涉点目标的密度不够并且真实形变的非线性较强时，干涉相位方程的解将会发散的不足，根据魏尔斯特拉斯（Weier—strass）逼近定理，提出以高阶多项式取代线性形变模型，并给出了基于多项式形变模型的干涉相位方程解算方法。以太原市地面沉降监测为例，分别采用线性形变模型和三次多项式形变模型进行形变反演。结果表明，多项式形变模型不仅能取得更高的形变测量精度，而且能提高点目标的密度。%The deformation model of time series InSAR techniques has been studied. Firstly,the process of solving the interferometric phase equations and estimating the linear deformation rate is analyzed for a typical time series InSAR analysis. When the reality of deformation is deviated significantly from a linear model, and at the same time the density of extracted point targets is not good enough, the linear deformation rate can not be estimated accurately. Thus,a polynomial deformation model is proposed based on the basis of the Weierstrass approximation. Meanwhile,the method to solve the interferometric phase equations under the polynomial deformation model is given. The proposed method is tested to map the ground subsidence of Taiyuan,Shanxi province of China. The small baseline approach with a linear de|ormation model and a 3rd order polynomial deformation model respectively are conducted. Both results are compared with the leveling observations. It is demonstrated that the small baseline approach with the 3rd order polynomial model can not only measure the deformation more accurately, but also generate denser point targets.
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