New approximate inverse results for the attenuated Radon transform with complex-valued coefficients

作者：Li, Wei; Wang, Jinping^*

来源：Complex Variables and Elliptic Equations, 2019, 64(6): 1009-1024.

DOI：10.1080/17476933.2018.1495200

• Complex method
• the attenuated Radon transform
• Sobolev spaces
• Gaussian mollifier
• approximate inverse

In this paper, the smooth properties of the attenuated Radon transform with complex-valued coefficients are proved by means of a complex method. Furthermore a new reconstruction formula and an algorithm are obtained based on the framework of Sobolev spaces, Gaussian mollifier, the method of the approximate inverse, etc.

• 出版日期2019-6-3
• 单位宁波大学