A method of coding a multidimensional digital signal of a first resolution into sub-bands (525, 535, 550, 555) of a second resolution that is lower than the first resolution, comprising the steps of: - generating a first intermediate sub-band of intermediate resolution by low-pass filtering the multidimensional digital signal in a first dimension, the intermediate resolution being higher than the second resolution and lower than the first resolution; - generating a first sub-band of the second resolution by low-pass filtering the first intermediate sub-band in the first dimension; - coding and decoding in order to obtain a decoded first sub-band from the first sub-band; - using the first intermediate sub-band and the decoded first sub-band to determine first orientations to be used to produce a high-pass filtered sub-band from the first intermediate sub-band; - using the first orientations to high-pass filter the first intermediate sub-band to produce a second sub-band of the second resolution; - coding and decoding in order to obtain a decoded second sub-band from the second sub-band; - reconstructing the first intermediate sub-band using the first decoded sub-band, the second decoded sub-band, and the first orientations by inverse oriented filtering to obtain a reconstructed first intermediate sub-band; - using the reconstructed first intermediate sub-band and the multidimensional digital signal to determine second orientations for high-pass filtering the multidimensional digital signal in the second dimension; - generating a second intermediate sub-band of intermediate resolution by high-pass filtering the multidimensional digital signal in the second dimension using the second orientations; - using the reconstructed first intermediate sub-band and the second intermediate sub-band to determine third orientations to be used to produce a high-pass filtered sub-band from the second intermediate sub-band; - using the third orientations to high-pass filter the second intermediate sub-band to obtain a third sub-band of the second resolution; and - generating a fourth sub-band of the second resolution by low-pass filtering the second intermediate sub-band. - generating a first intermediate sub-band of intermediate resolution by low-pass filtering the multidimensional digital signal in a first dimension, the intermediate resolution being higher than the second resolution and lower than the first resolution; - generating a first sub-band of the second resolution by low-pass filtering the first intermediate sub-band in the first dimension; - coding and decoding in order to obtain a decoded first sub-band from the first sub-band; - using the first intermediate sub-band and the decoded first sub-band to determine first orientations to be used to produce a high-pass filtered sub-band from the first intermediate sub-band; - using the first orientations to high-pass filter the first intermediate sub-band to produce a second sub-band of the second resolution; - coding and decoding in order to obtain a decoded second sub-band from the second sub-band; - reconstructing the first intermediate sub-band using the first decoded sub-band, the second decoded sub-band, and the first orientations by inverse oriented filtering to obtain a reconstructed first intermediate sub-band; - using the reconstructed first intermediate sub-band and the multidimensional digital signal to determine second orientations for high-pass filtering the multidimensional digital signal in the second dimension; - generating a second intermediate sub-band of intermediate resolution by high-pass filtering the multidimensional digital signal in the second dimension using the second orientations; - using the reconstructed first intermediate sub-band and the second intermediate sub-band to determine third orientations to be used to produce a high-pass filtered sub-band from the second intermediate sub-band; - using the third orientations to high-pass filter the second intermediate sub-band to obtain a third sub-band of the second resolution; and - generating a fourth sub-band of the second resolution by low-pass filtering the second intermediate sub-band.