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- Hiroyuki Kudo, Matias Courdurier, Frédéric Noo, Michel Defrise
- Physics in medicine and biology
- 2008

Based on the concept of differentiated backprojection (DBP) (Noo et al 2004 Phys. Med. Biol. 49 3903, Pan et al 2005 Med. Phys. 32 673, Defrise et al 2006 Inverse Problems 22 1037), this paper shows that the solution to the interior problem in computed tomography is unique if a tiny a priori knowledge on the object f(x, y) is available in the form that f(x,… (More)

- Roberto Cominetti, Matias Courdurier
- SIAM Journal on Optimization
- 2002

- Matias Courdurier, Frédéric Noo, Michel Defrise, H Kudo
- Inverse problems
- 2008

The case of incomplete tomographic data for a compactly supported attenuation function is studied. When the attenuation function is a priori known in a subregion, we show that a reduced set of measurements is enough to uniquely determine the attenuation function over all the space. Furthermore, we found stability estimates showing that reconstruction can be… (More)

- Matias Courdurier
- J. Comb. Theory, Ser. A
- 2006

Based on the concept of differentiated backprojection (DBP) (Noo et al 2004 Phys. Med. Biol. 49 3903, Pan et al 2005 Med. Phys. 32 673, Defrise et al 2006 Inverse Problems 22 1037), this paper shows that the solution to the interior problem in computed tomography is unique if a tiny a priori knowledge on the object f (x, y) is available in the form that f… (More)

In Ray-Tomography the goal is to recover a function in higher dimensions from knowledge of integrals of the function along lines. For example, in the Euclidean setting we let f ∈ C∞ 0 (R), and for each straight line L in R, we define the Ray-Transform of f along L as

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