Abstract: For improving topological connection of quadrilateral mesh, we presented a optimization method based on irregular node removal by upgrading and adapting the method of Liu et al. (Liu Jianfei, Sun Shuli, Chen Yongqiang. A new method of quality improvement for quadrilateral mesh based on small polygon reconnection. Acta Mechanica Sinica, 2012, 28(1):140-145). First, we used a strategy to speed up the original method, so it is able to treat bigger polygons and is more powerful to remove irregular nodes. Second, we recast the method to the curved surface. The testing results demonstrate that the upgraded method can greatly improve topological connectivity of meshes generated by finite element analysis packages including ANSYS. Meshes generated by the current state of art techniques in computer graphics can also be improved by our method.