An imaging method by two-dimensional Fourier transform of an acquisition by ultrasonic probing of an object, comprising the following steps: - control of L transmission transducers (108 1,..., 108 N) for M successive transmissions of ultrasonic waves, - control of N receiving transducers (108 1,..., 108 N) in such a way as to receive simultaneously and for a predetermined duration, for each transmission, N measurement time signals, measuring in particular echoes due to backscattering of said each transmission in the object, - time sampling of each measurement time signal into N t successive samples, - obtaining M matrices MR m, 1≤m≤M, of ultrasonic time signals of size NxN t, each coefficient MR m (u i,t j) of each matrix MR m representing the t;-th time sample of the measurement signal received by the u i -th receiving transducer due to the m-th transmission, - row and column two-dimensional Fourier transform of each matrix MR m to obtain M spectral matrices FTMR m, 1≤m≤M, - conversion of each spectral matrix FTMR m to obtain M spectral images FTI m in a space of spatial frequencies, this conversion comprising the application of a relation for matrix transformation of the M matrices FTMR m into the M spectral images FTI m and the application of a bilinear interpolation using a system of reference frame change equations, - combination of the M spectral images FTI m and two-dimensional inverse Fourier transformation in rows and columns of the resulting spectral image FTI to obtain an ultrasound image I for visualization of the object, characterized in that the conversion comprises: - taking into account a change of propagation mode (M 1, M 2, M 3, M 4, M 5) during a backscattering in the probed object, by adding a parameter characterizing this change of mode in the equations of change of reference frame, and/or - taking into account a reflection against a wall of the probed object, by adding a phase shift term in the relation of matrix transformation. - control of L transmission transducers (108 1,..., 108 N) for M successive transmissions of ultrasonic waves, - control of N receiving transducers (108 1,..., 108 N) in such a way as to receive simultaneously and for a predetermined duration, for each transmission, N measurement time signals, measuring in particular echoes due to backscattering of said each transmission in the object, - time sampling of each measurement time signal into N t successive samples, - obtaining M matrices MR m, 1≤m≤M, of ultrasonic time signals of size NxN t, each coefficient MR m (u i,t j) of each matrix MR m representing the t;-th time sample of the measurement signal received by the u i -th receiving transducer due to the m-th transmission, - row and column two-dimensional Fourier transform of each matrix MR m to obtain M spectral matrices FTMR m, 1≤m≤M, - conversion of each spectral matrix FTMR m to obtain M spectral images FTI m in a space of spatial frequencies, this conversion comprising the application of a relation for matrix transformation of the M matrices FTMR m into the M spectral images FTI m and the application of a bilinear interpolation using a system of reference frame change equations, - combination of the M spectral images FTI m and two-dimensional inverse Fourier transformation in rows and columns of the resulting spectral image FTI to obtain an ultrasound image I for visualization of the object, - taking into account a change of propagation mode (M 1, M 2, M 3, M 4, M 5) during a backscattering in the probed object, by adding a parameter characterizing this change of mode in the equations of change of reference frame, and/or - taking into account a reflection against a wall of the probed object, by adding a phase shift term in the relation of matrix transformation.