Patent Document ID: 20170146626
Application ID: 15339733
Patent Flag: 0

Claim One:
1. A Method for processing a measurement function (ƒ), the measurement function being representative of measurements acquired by a detector ( 10 ), the measurement function being defined in a starting space, according to first coordinates (r i ), the method comprising the estimation, at second coordinates (u j ) of said starting space, of a value of a product of convolution (ƒ*g) of the measurement function (ƒ) with a convolution kernel (g), defined on a support, called the convolution support (Ω), the method comprising: an acquisition of measurements ( 15 ) by a detector ( 10 ); the establishment of the measurement function (ƒ), according to first coordinates (r i ) of the starting space on the basis of the measurements ( 15 ) arising from the detector; the definition of second coordinates in the starting space (u j ); the method comprising, for each second coordinate (u j ), the following steps: a) on the basis of the convolution support (Ω), definition of a so-called centered convolution support (Ω j ), associated with said second coordinate (u j ), in such a way that said second coordinate (u j ) constitutes the center of said centered convolution support (Ω j ), b) definition of a mesh of said centered convolution support (Ω j ), so as to associate a surface element (S i,j ) with each first coordinate (r i ) included in said centered convolution support (Ω j ); c) determination of a weighting factor (∂ i,j ) associated with each first coordinate (r i ) included in said centered convolution support (Ω j ), d) computation of a product of convolution of said measurement function (ƒ) with said kernel (g) according to said centered convolution support (Ω j ), by weighting a value ƒ(r i ) of the measurement function, at each first coordinate (r i ) included in said centered convolution support (Ω j ), with the weighting factor (∂ i,j ) associated with said first coordinate (r i ), determined during step c); e) estimation of a value of said convolution product (ƒ*g (u j )) at said second coordinate (u j ) as a function of the computation carried out during step d); steps a) to e) being implemented, for each second coordinate (u j ), by at least one microprocessor, the method being characterized in that during step b), the mesh is defined in such a way that each surface element (S i,j ) is contained in said centered convolution support (Ω j ), in such a way that the weighting factor (∂ i ) associated with one and the same first coordinate (r i ) can vary as a function of the second coordinate (u j ).