Nowadays　computer　graphics　over　the　Internet　has　attracted　a　lot　of　attentions;　however　transmitting　3D　model　takes　a　long　time.　Geometry　image　is　a　completely　regular　structure　to　remesh　an　arbitrary　surface.　It　captures　the　geometry　information　of　the　mesh　as　an　array　of　[x,　y,　z]　values.　In　this　paper,　a　novel　framework　of　geometry　image　coding　is　proposed　which　utilized　the　image　compression　standard　JPEG2000　to　represent　3D　model.　To　improve　the　quality　of　encoding　the　geometry　image,　a　directional　lifting　wavelet　transform-based　image　compression　algorithm　is　utilized.　Besides,　we　use　an　iterative　algorithm　in　the　parameterization　phase　to　improve　the　quality　of　geometry　image.　According　to　the　experiments,　both　objective　and　subjective　performances　of　3D　model　are　enhanced,　the　photorealistic　rendering　is　improved　and　the　time　of　transmission　is　reduced.　©　2009　Springer-Verlag.