Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Numerical inversions via circular harmonic decomposition for two classes of circular Radon transforms are established. The first class deals with the Radon transform (RT) defined on circular arcs having a chord of fixed length rotating around its middle point (CART) and the second is the RT defined on a set of circles passing through a fixed point of the plane (CRT). These circular Radon transforms arise from the modeling of different modalities in Compton scattering tomography (CST). Inversions via circular harmonic decomposition are used for image reconstructions in CST. Simulation results show the efficiency and interest of this inversion method in imaging science.
['Gaël Rigaud', 'M. Nguyen', 'Alfred K. Louis']
I am writing a research paper on a idea Circular harmonic decomposition approach for numerical inversion of circular Radon transforms
[{"from": "human", "value": "I am writing a research paper on a idea Circular harmonic decomposition approach for numerical inversion of circular Radon transforms"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Numerical inversions via circular harmonic decomposition for two classes of circular Radon transforms are established. The first class deals with the Radon transform (RT) defined on circular arcs having a chord of fixed length rotating around its middle point (CART) and the second is the RT defined on a set of circles passing through a fixed point of the plane (CRT). These circular Radon transforms arise from the modeling of different modalities in Compton scattering tomography (CST). Inversions via circular harmonic decomposition are used for image reconstructions in CST. Simulation results show the efficiency and interest of this inversion method in imaging science."}]