In this paper, we tackle the problem of image nonlinear approx- imation. During the last past years, many algorithms have been proposed to take advantage of the geometry of the image. We intend here to propose a new nonlinear approximation algorithm which would take into account the structures of the image, and which would be powerful even when the original image has some textured areas. To this end, we first split our image into two components, a first one containing the structures of the image, and a second one the oscillating patterns. We then perform the nonlinear approximation of each component separately. Our fi- nal approximated image is the sum of these two approximated components. This new nonlinear approximation algorithm out- performs the standard biorthogonal wavelets approximation.
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