7. V-line and conical Radon transforms with applications in imaging
Gaik Ambartsoumian · 2019
This chapter is dedicated to the recent developments and current knowledge on the V-line and conical Radon transforms (VLT and CRT). The primary motivation for the study of such operators has been their relation to several imaging modalities based on physics of scattered particles. We discuss many of these applications and explain why the measured data is modeled through VLT and CRT. The mathematical results presented in the chapter are primarily focused on a special class of operators, which use integration trajectories with vertices inside the image domain. The text is supplemented with an extensive list of references on both theoretical and applied aspects of the subject.