A computer-implemented method for compressing a three-dimensional modeled object, comprising: - providing a mesh of a three-dimensional modeled object; - parameterizing (u,v) the mesh on a two-dimensional plane; - converting the parameterized mesh into a raster image I that is a Geometry Image; - providing a Significance Image by computing a significance of each pixel in the raster image I, the significance of a pixel in the raster image I quantifying the importance of the pixel for the integrity of the raster image I; - extracting an original spatial domain (Ω) of the Significance Image; - providing a transformation T θ, parameterized as an interpolating spline by a set of control points, from the original spatial domain (Ω) to a resized spatial domain (Ω'); - defining a grid of cells from the raster image I by subdividing the original spatial domain (Ω) into cells, each cell being defined by a subset of control points of the set of control points obtained from the interpolation spline; - computing a relevance of each cell of the grid by computing, for each cell, a weighted average of the significance of the pixels of the raster image I in the cell, the weighted average being computed using the interpolating spline; - determining at least one cell having a relevance lower than a pre-determined threshold; - resizing the at least one determined cell by displacing one or more control points of the at least one determined cell and computing a resulting grid, wherein resizing the at least one determined cell comprises reducing the said at least one determined cell; - computing a transformation for each pixel of the image from the resulting grid, the transformation being parameterized by the set of control points of the interpolating spline, wherein computing a transformation for each pixel of the raster image I from the resulting grid comprises computing the transformation T θ over a spatial domain of the raster image I obtained by the conversion of the parameterized mesh from the resulting grid; and - applying the computed transformation to the raster image I, thereby obtaining a compressed raster image I. - providing a mesh of a three-dimensional modeled object; - parameterizing (u,v) the mesh on a two-dimensional plane; - converting the parameterized mesh into a raster image I that is a Geometry Image; - providing a Significance Image by computing a significance of each pixel in the raster image I, the significance of a pixel in the raster image I quantifying the importance of the pixel for the integrity of the raster image I; - extracting an original spatial domain (Ω) of the Significance Image; - providing a transformation T θ, parameterized as an interpolating spline by a set of control points, from the original spatial domain (Ω) to a resized spatial domain (Ω'); - defining a grid of cells from the raster image I by subdividing the original spatial domain (Ω) into cells, each cell being defined by a subset of control points of the set of control points obtained from the interpolation spline; - computing a relevance of each cell of the grid by computing, for each cell, a weighted average of the significance of the pixels of the raster image I in the cell, the weighted average being computed using the interpolating spline; - determining at least one cell having a relevance lower than a pre-determined threshold; - resizing the at least one determined cell by displacing one or more control points of the at least one determined cell and computing a resulting grid, wherein resizing the at least one determined cell comprises reducing the said at least one determined cell; - computing a transformation for each pixel of the image from the resulting grid, the transformation being parameterized by the set of control points of the interpolating spline, wherein computing a transformation for each pixel of the raster image I from the resulting grid comprises computing the transformation T θ over a spatial domain of the raster image I obtained by the conversion of the parameterized mesh from the resulting grid; and - applying the computed transformation to the raster image I, thereby obtaining a compressed raster image I.