ABSTRACT
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.
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Acknowledgements
The authors gratefully acknowledge Professor Jinyuan Du for his assistance and extremely instructive suggestion in this research.
Disclosure statement
No potential conflict of interest was reported by the authors.