Triangle mesh simplification based on re-tiling is an automatic method for creating models at multiple levels of detail. Its basic idea is to distribute a set of new points onto original mesh based on the local geometry and topology features of triangle mesh, create an intermediate mesh, remove old vertex from the intermediate mesh, retriangulate the holes left by removal of old vertex, then new triangle mesh containing new points is created. In this paper, the authors present a new method for distributing new points, using the curvature at the vertices of triangle and the area of triangle. Examples illustrate efficiency of the algorithm.