摘要
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。
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.
出处
《西安科技大学学报》
CAS
北大核心
2006年第1期112-116,129,共6页
Journal of Xi’an University of Science and Technology
关键词
RADON变换
算子假频
端点效应
波场分离
相干噪声
分辨率
Radon transform
operator aliasing
edge effect
wave fields separation
coherent noise
resolution
作者简介
刘保童（1965-），男，甘肃天水人，博士研究生，主要从事信号处理与数理方法的研究与教学工作．
