we obsereve  deformations in the generated coordinates are quite prominen     when we change various neighbohood size k in fig.5 corresponding  computed coordinates    by LLE , and we observe  produces coordinates T that almost has similar geometric structure as the generating coordinates       when we change various neighbohood size k in fig.6 corresponding computes coordinates by LTSA.
As we can observe, the advantage of LTSA over LLE which is that using LTSA.LTSA algorithm seems to be less sensitive to the choice of k than LLE.  

6- Conclusion

    In this analize of this article , we tried to analyze  the algorithm of LTSA and to compare it with the existing solution like PCA and LLE , with observetion of the techniques that the others have used which is the construction of local tangent spaces to represent local geometry and the global alignment of the local tangent spaces . and i try to explain  how  it use     nonlinear dimension reduction       via local tangent space alignement(LTSA).