Marching Cubes (MC) algorithm has disadvantages of bad-surface of 3D surface model and triangle redundancy. To improve this algorithm performance

smoothing for iso-surface and edge deleting algorithm to simplify the meshes are presented. The direction smooth of the three-dimensional space on the iso-surface was used to replace the smooth of three-dimensional coordinates on the iso-surface

and the smoothness of the model surface was improved. Based on the edge deletion algorithm

a mesh simplification algorithm was designed to simplify the model surface mesh. Two groups of Magnetic Resonance (MR) data (hollow throat and cardiovascular system) were used to actualize three-dimensional surface reconstruction. Running examples show that the smoothed three-dimensional display has been improved significantly

and the clarity and realism of the structural details improved obviously. After 90% mesh of the model had been reduced

the model can still maintain the original features and good visual effects

and the ability of real-time interactive rendering was enhanced greatly

the interaction time was reduced evidently.