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IPI

Coded Aperture Imaging is a cheap imaging process encountered in many fields of research like
optics, medical imaging, astronomy, and that has led to several good results for two dimensional reconstruction methods.
However, the three dimensional reconstruction problem remains nowadays severely ill-posed, and has not yet
furnished satisfactory outcomes.

In the present study, we propose an illustration of the poorness of the data in order to operate a good inversion in the 3D case. In the context of a far-field imaging, an inversion formula is derived when the detector screen can be widely translated. This reformulates the 3D inversion problem of coded aperture imaging in terms of classical Radon transform. In the sequel, we examine more accurately this reconstruction formula, and claim that it is equivalent to solve the

We thus deduce that the performances of any numerical reconstruction will remain shrank, essentially because of the physical nature of the coding process, excepted when a very strong

In the present study, we propose an illustration of the poorness of the data in order to operate a good inversion in the 3D case. In the context of a far-field imaging, an inversion formula is derived when the detector screen can be widely translated. This reformulates the 3D inversion problem of coded aperture imaging in terms of classical Radon transform. In the sequel, we examine more accurately this reconstruction formula, and claim that it is equivalent to solve the

*limited angle Radon transform*problem with very restricted data.We thus deduce that the performances of any numerical reconstruction will remain shrank, essentially because of the physical nature of the coding process, excepted when a very strong

*a priori*knowledge is given for the 3D source.## Year of publication

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