A new Morphing technique for two contours is proposed based on characteristic points matching. This problem occurs frequently during continuous zooming in interactive maps. For corresponding contours at two different key scale maps, firstly, two multi-way trees of characteristic points of these two contours are built, in which the characteristic points on top hierarchy are identified by build- ing convexes of points, which are located on contours and other subordinate characteristic points of tree are de- tected by using Douglas-Peucker algorit...