The invention relates to an X-ray imaging method, of the computed tomography type, in which a programmed computer is used to process data (c(a), ρ(b)) in order to produce an image that expresses an X-ray attenuation coefficient at a series of points {P0} on a body to be examined, by calculating, for a pair of angular positions (θa, θb), a value (C) of the attenuation coefficient at a point (P0), using the following formula: (formula 1). According to the invention, the computer is programmed to: (1) pre-calculate the position, on the detector (9), of a first point of impact T(a) of a ray (i) and a second point of impact R(b) of a ray (j) (2) pre-calculate the position, on the detector (9), of (m) first and (m) second charge calculation lines and 3) calculate the value (C) of the attenuation coefficient taking account of the pre-calculated positions of the first and second points of impact and the first (p) and second (q) pre-constructed charge calculation lines (formula 2) (formula 3) which pass closest to the first and second points of impact, according to the position of the point (P0) in the irradiated space.c=ρ(b)n+c(a)n-12n2(∑k=1nck(a)+∑u=1nρu(b))(1)(Tp,k(a)k=1→n(2)Rq,u(b)u=1→n)(3)
