Method for reconstructing imaging signals (6, 40) in a biological medium on the basis of experimental measurements acquired by a medical imaging system perturbed by physiological movements, the method implementing: - measurements representative of said physiological movements, - at least one movement model comprising movement parameters α (13, 14) capable of describing movements and/or deformations of the biological medium on the basis of said measurements representative of physiological movements, and - an imaging sampling grid according to which the reconstruction of imaging signals is carried out, the method being characterized in that it also comprises the implementation of an iterative repetition comprising: - constructing a movement sampling grid (22, 32) by selecting a limited set of points from the imaging sampling grid, the points selected for constructing the movement sampling grid (22, 32) being chosen as a function of the movement parameters resulting from a preliminary estimation of said at least one movement model, so that the points from the movement sampling grid are in proximity to areas of the biological medium affected by comparatively greater movement variations and/or local deformations; and - iterative repetition comprising the implementation in an alternating manner of the following steps: • calculating movement parameters (12, 36) of each movement model by inversion of a linear system at the points of said movement sampling grid constructed, using a simulation model of an acquisition chain of the image, the acquisition chain being in the form of a linear simulation operator E (α) that links an image to simulated experimental data, • estimating a reconstruction error by calculating simulated experimental data from the previously estimated image (5, 34) with the simulation model of the acquisition chain and the calculated movement parameters, • calculate an error in the movements parameters by inversion, at the points of said movement sampling grid, of a linear system defining a linear relationship between small variations in the parameters of the movement model and a residual ε representative of the estimated reconstruction error (9, 35); • estimation of the movement model by optimization of the parameters of the movement model from the calculated error. - measurements representative of said physiological movements, - at least one movement model comprising movement parameters α (13, 14) capable of describing movements and/or deformations of the biological medium on the basis of said measurements representative of physiological movements, and - an imaging sampling grid according to which the reconstruction of imaging signals is carried out, - constructing a movement sampling grid (22, 32) by selecting a limited set of points from the imaging sampling grid, the points selected for constructing the movement sampling grid (22, 32) being chosen as a function of the movement parameters resulting from a preliminary estimation of said at least one movement model, so that the points from the movement sampling grid are in proximity to areas of the biological medium affected by comparatively greater movement variations and/or local deformations; and - iterative repetition comprising the implementation in an alternating manner of the following steps: • calculating movement parameters (12, 36) of each movement model by inversion of a linear system at the points of said movement sampling grid constructed, using a simulation model of an acquisition chain of the image, the acquisition chain being in the form of a linear simulation operator E (α) that links an image to simulated experimental data, • estimating a reconstruction error by calculating simulated experimental data from the previously estimated image (5, 34) with the simulation model of the acquisition chain and the calculated movement parameters, • calculate an error in the movements parameters by inversion, at the points of said movement sampling grid, of a linear system defining a linear relationship between small variations in the parameters of the movement model and a residual ε representative of the estimated reconstruction error (9, 35); • estimation of the movement model by optimization of the parameters of the movement model from the calculated error. • calculating movement parameters (12, 36) of each movement model by inversion of a linear system at the points of said movement sampling grid constructed, using a simulation model of an acquisition chain of the image, the acquisition chain being in the form of a linear simulation operator E (α) that links an image to simulated experimental data, • estimating a reconstruction error by calculating simulated experimental data from the previously estimated image (5, 34) with the simulation model of the acquisition chain and the calculated movement parameters, • calculate an error in the movements parameters by inversion, at the points of said movement sampling grid, of a linear system defining a linear relationship between small variations in the parameters of the movement model and a residual ε representative of the estimated reconstruction error (9, 35); • estimation of the movement model by optimization of the parameters of the movement model from the calculated error.