Quantum　image　processing　has　been　a　hot　topic.　The　first　step　of　it　is　to　store　an　image　into　qubits,　which　is　called　quantum　image　preparation.　Different　quantum　image　representations　may　have　different　preparation　methods.　In　this　paper,　we　use　GQIR　(the　generalized　quantum　image　representation)　to　represent　an　image,　and　try　to　decrease　the　operations　used　in　preparation,　which　is　also　known　as　quantum　image　compression.　Our　compression　scheme　is　based　on　JPEG　(named　from　its　inventor:　the　Joint　Photographic　Experts　Group)　-　the　most　widely　used　method　for　still　image　compression　in　classical　computers.　We　input　the　quantized　JPEG　coefficients　into　qubits　and　then　convert　them　into　pixel　values.　Theoretical　analysis　and　experimental　results　show　that　the　compression　ratio　of　our　scheme　is　obviously　higher　than　that　of　the　previous　compression　method.