1. A method of demosaicing a digital raw image provided by a sensor optical device with monochrome photosites 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, the digital raw image comprising multiple color planes, each of the multiple color planes including each pixel of the digital raw image that is dedicated to a specified color filter of the color filters, comprising: reconstructing a luminance image from the digital raw image, without prior separation of the multiple color planes; reconstructing chrominance images from the digital raw image, without prior separation of the multiple color planes; obtaining a color digital image of the same resolution as the digital raw image and in which each pixel has multiple color components and results from corresponding pixels of said luminance image and of said chrominance images by: obtaining an image of low frequency coefficients using a low frequency local kernel, of a plurality of local convolution kernels, applied to each of the pixels of the digital raw image without prior separation of the multiple color planes, wherein the low frequency local kernel applies convolutions to neighboring pixels of different ones of the multiple color planes in the digital raw image; obtaining images of high frequency coefficients using high frequency local kernels of the plurality of local convolution kernels, applied to each of the pixels of the digital raw image without prior separation of the multiple color planes, wherein the high frequency local kernels apply convolutions to the neighboring pixels of the different ones of the multiple color planes in the digital raw image; reconstructing the luminance image based on obtaining the image of low frequency coefficients; and reconstructing the chrominance images based on obtaining the images of high frequency coefficients.