首次在Radon变换的积分路径中考虑各向异性参数的影响，建立各向异性条件下的Radon变换理论，推导其正反变换解析表达公式及离散数值公式。通过引入地震数据非双曲时差公式中的各向异性非椭圆率等参数，可以准确描述出大偏移距条件下来自同一层位的时距信息，将其应用在大偏移距或各向异性介质地震数据中，有望收到较好的处理效果。.本项目的另一个研究重点是将各向异性Radon变换推广到三维，以满足越来越多三维地震数据处理的需要。其中重点对时变条件下的三维各向异性Radon变换的实用性进行研究，采用最优相似系数下的Gauss-Seidel迭代算法直接在时间域内进行快速求解，在得到三维高分辨率的Radon域内结果的同时，又保持较高的计算效率，保证其实用有效。并拟对海上高密度宽方位角（全方位角）地震数据多次波压制、陆地三维地震数据面波及随机噪声衰减等进行处理应用。

We consider the impact of anisotropic parameters in the integral path of Radon transform for the first time, establish the theory of the anisotropic Radon transform, and derivate the analytical formulas and discrete numerical expression of the forward and reverse anisotropic Radon transform. Through the introduction of anisotropic non-ellipticity parameter in non-hyperbolic move-out formula, we can accurately describe the large offset travel time from the same layer. (Its applications in the seismic data with far offset or anisotropic media are expected to receive better result.) While dealing with far offset or anisotropic media seismic data, ideal results could be achieved..Another research focus of this project is extending the anisotropic Radon transform to the three-dimension processing method, in order to process more and more three-dimension seismic data. We focus on the research of practicability of the three-dimension anisotropic Radon transform in the time-varying condition based on the optimization semblance Gauss-Seidel iterative algorithm. The method would get high-resolution Radon domain results with high computational efficiency. We intend to de-multiple for the marine seismic data of high-density and wide (all)-azimuth, and attenuate the surface wave and random noise for the land three-dimension seismic data.