摘要: Abstract In this paper, the problem of reconstructing a surface, given set scattered data points is addressed. First, precise formulation reconstruction proposed. The solution mathematically defined as particular mesh surface called normalized mesh. This has property to be included inside Delaunay graph. A criterion detect faces graph proved provide exact in 2D for sampling r-regular shapes with path e sin ( π 8 )r . 3D, result cannot extended and retrieve every face. heuristic proposed order complete surface.