Information Technology Journal1812-56381812-5646Asian Network for Scientific Information10.3923/itj.2014.469.476HuJianpingXieQiWangXiaochaoLiuXiuping32014133This study presents a novel bi-dimensional EMD (Empirical mode decomposition) algorithm. It firstly transforms the given 2D data (e.g., an image) into a function defined on a triangular mesh and then uses a novel interpolation method based on bi-Laplace operator to generate the upper and lower envelopes in the sifting process. Essentially, this method still uses thin plate spline interpolation to generate envelopes but it can be implemented much faster than the traditional method based on thin plate spline interpolation because only a sparse linear system needs to be solved when generating an envelope in the sifting process. Furthermore, the proposed bi-dimensional EMD algorithm can be applied in image enhancement and the application examples prove that the image enhancement algorithm based on this bi-dimensional EMD approach is efficient and better than some classical image enhancement algorithms in contrast and lightness controlling.]]>Bhuiyan, S.M.A., N.O. Attoh-Okine, K.E. Barner, A.Y. Ayenu-Prah and R.R. Adhami,2009Bookstein, F.L.,1989Chang, D.C. and W.R. Wu,1998Damerval, C., S. Meignen and V. Perrier,2005Meyer, M., M. Desbrun, P. Schroder and A.H. Barr,2002Gonzalez, R.C. and R.E. Woods,2006Han, C., H. Guo, C. Wang and D. Fan,2002Huang, N.E., Z. Shen, S.R. Long, M.C. Wu and H.H. Shih et al.,1998Huang, N.E. and Z. Wu,2008Jobson, D.J., Z.U. Rahman and G.A. Woodell,2002Linderhed, A.,2005Nunes, J.C., S. Guyot and E. Delechelle,2005Nunes, J.C. and Y. Bouaoune, E. Delechelle, O. Niang and P. Bunel,2003Saradhadevi, V. and V. Sundaram,2010Wang, H., Z. Su, J. Cao, Y. Wang and H. Zhao,2012Xu, Y., B. Liu, J. Liu and S. Riemenschneider,2006Yan, J.,2011