: Large polygon meshes are a common entity in scienti c and engineering science. Polygon meshes can be used for simpli ed geometric operations such as collision detection and surface analysis and permit hardware assisted rendering, an essential condition to achieve real-time display. In practice, meshes obtained by conventional polygonization techniques are often too big for e cient rendering and postprocessing. A mesh reduction technique is then employed to reduce the mesh size. This paper gives an overview of common mesh reduction techniques, classi es them according to their design methodology and compares and evaluates them.