Existing　image　codec　technologies　are　based　on　transform　which　make　image　signal　can　be　compressed,　while　quantization　has　been　used　to　control　bit　rates.　Compressive　sensing　(CS),　which　is　a　novel　signal　processing　and　recovery　method,　can　be　applied　to　image　decoding　to　replace　inverse　transform　reconstruction.　This　paper　proposes　an　error　estimate　method　based　on　equalization　quantization　noise　model　for　image　codec.　Due　to　the　robust　character　of　CS,　it　can　upgrade　the　quality　of　reconstruction　when　error　has　been　estimated　accurately.　With　designed　equalization　matrix,　a　new　norm　constraint　which　can　enhance　the　quality　of　CS　recovery　significantly　has　been　shown.　A　CS-based　JPEG　decoding　scheme　based　on　quantization　error　estimate　is　also　presented,　and　experimental　evidence　exhibits　more　gains　over　CS　reconstruction　without　error　estimation　and　original　JPEG　decoder.　©　2011　IEEE.