Then applied both LTSA and LLE to the Swissroll data set (Fig 4) and Helix data set(Fig 7)(total data is 2000 and k which is chosen from k = 6 to k = 30, LTSA always produces coordinates that has similar geometric structure as the generating coordinates. There are little geometric deformations in the coordinates generated by LTSA, see Figure 6. In Figure 5, we plot the results for LLE, the deformations (stretching and compression) in the generated coordinates are quite prominent. Similar results are plotted for the Helix data set[7]in Figure 7 (LLE) and Figure 8 (LTSA). Both of these two surfaces have zero Gaussian curvature, and therefore they can be flattened without any geometric deformation, i.e., the two surfaces are isometric to a 2D plane.