1. A method of demosaicing a digital raw image ( 10 ) by a sensor optical device ( 20 ) with monochrome photosites ( 24 ) filtered by a matrix of color filters, the raw image being in the form of a matrix of pixels, each dedicated to a single color among several predetermined colors from the color filters, comprising a step ( 118 ) for obtaining a color digital image of the same resolution as the raw image ( 10 ) and in which each pixel has multiple color components and results from corresponding pixels in a luminance image ( 10 L) and in chrominance images ( 10 C 1 , 10 C 2 ) reconstructed from the raw image ( 10 ), characterized in that it comprises the following steps: transformation ( 102 ) of the raw image ( 10 ) by applying local convolution kernels (S, V, H, D) to its pixels, taking into account neighboring pixels of different colors, to obtain an image of low frequency coefficients ( 10 S) using a low frequency local kernel (S) and images of high frequency coefficients ( 10 V, 10 H, 10 D) using high frequency local kernels (V, H, D), reconstruction ( 112 ) of the luminance image ( 10 L) using at least the image of low frequency coefficients ( 10 S), and reconstruction ( 104 , 114 ) of the chrominance images ( 10 C 1 , 10 C 2 ) using the images of high frequency coefficients ( 10 V, 10 H, 10 D).