Abstract: As a new way for rapid prototyping,3D printing enables fabrication of custom objects with arbitrary geometry and also brings new challenges for digital geometry processing.To find a quicker and cheaper way of fabricating objects with some specific functions,vast research literature emerges.These works can be roughly classified based on the state they try to optimize,i.e.,the model designing state and the printing state.This paper provides the readers a big picture on recent progress in 3D printing inspired fabrication optimization.We attempt to make it easier for new researchers to better explore and contribute to this topic.