The present invention concerns a method for the 3D reconstruction of a scene comprising the matching (610) of a first event from among the first asynchronous successive events of a first sensor with a second event from among the second asynchronous successive events of a second sensor depending on a minimisation (609) of a cost function (E). The cost function comprises at least one component from: —a luminance component (Ei) that depends at least on a first luminance signal (Iu) convoluted with a convolution core (gσ(t)), the luminance of said pixel depending on a difference between maximums (te−,u,te+,u) of said first signal; and a second luminance signal (Iv) convoluted with said convolution core, the luminance of said pixel depending on a difference between maximums (te−,v,te+,v) of said second signal; —a movement component (EM) depending on at least time values relative to the occurrence of events located at a distance from a pixel of the first sensor and time values relative to the occurrence of events located at a distance from a pixel of the second sensor.