一种频率域提高Radon变换分辨率的方法

Radon变换是压制相干噪音，波场分离的重要方法之一。算子假频和端点效应是该方法在数值计算中需要始终关注的两个重要问题，不断地改进和完善变换的具体算法，抑制和最大化地减少算子假频和端点效应，才能不断地提高变换的分辨率和质量，促进和发展Radon变换的有效应用。针对在数值计算中应该关注解决的问题，在用反演理论对变换的非唯一性进行分析的基础上，对常规的最小平方Radon变换方法做了改进，给出一种频率域Radon变换方法，可有效地压制端点效应，提高了变换域的分辨率。数值计算试验表明了该方法的有效性。

An approach to improve the resolution of Radon transform in frequency domain

Radon transform is one of important techniques to suppress coherent noises and separate wave fields.Operator aliasing artifacts and edge effect artifacts are two important issues that need to be paid attention to throughout the numerical computation of Radon transform.To improve the resolution and quality of the transform further,promote and develop effective applications of Radon transform,it's necessary to improve the specific algorithm of transform so as to suppress and reduce operator aliasing and edge effect.Aiming at the pitfalls in practical computation,analyzing non-unique character of the transform with inverse theory,this paper improves the conventional least square procedure and presents a procedure in frequency domain.Edge effect is suppressed effectively and the resolution of transform is improved.Numerical tests show the effectiveness of the approach.