The invention relates to a method and a device for transmitting a current image of a sequence of digital images between a server device and a client device which are connected by a communication network. Each image of the sequence is encoded in a multi-resolution format, each resolution comprising a set of non independent elementary entities. The method of the invention comprises detecting motion, carried out on spatial entities defined with respect to said elementary entities, between the current image and a reference image, then determining a first set of elementary entities comprising the elementary entities relating to said at least one moving spatial entity and determining a second set of elementary entities which are necessary for reconstructing said moving spatial entities. Finally, at least part of each of the elementary entities of said first and second sets is sent to the client device.