Yu Lu, Wu Le-nan, Xie Jun. A Low Complexity 2D Hidden Markov Model in Application to Image Segmentation[J]. Journal of Electronics & Information Technology, 2008, 30(2): 277-281. doi: 10.3724/SP.J.1146.2006.00999
Citation:
Yu Lu, Wu Le-nan, Xie Jun. A Low Complexity 2D Hidden Markov Model in Application to Image Segmentation[J]. Journal of Electronics & Information Technology, 2008, 30(2): 277-281. doi: 10.3724/SP.J.1146.2006.00999
Yu Lu, Wu Le-nan, Xie Jun. A Low Complexity 2D Hidden Markov Model in Application to Image Segmentation[J]. Journal of Electronics & Information Technology, 2008, 30(2): 277-281. doi: 10.3724/SP.J.1146.2006.00999
Citation:
Yu Lu, Wu Le-nan, Xie Jun. A Low Complexity 2D Hidden Markov Model in Application to Image Segmentation[J]. Journal of Electronics & Information Technology, 2008, 30(2): 277-281. doi: 10.3724/SP.J.1146.2006.00999
The assumption of conditional independence in the relationship between adjacent blocks has been proposed by others to reduce the complexity of 2D HMM. In this paper, a more general 2D HMM relaxing this assumption is proposed. More general recursive forms of the forward and the backward algorithms are derived. And the model provides more flexibility by adjusting the weight between horizontal and vertical information. The application to image segmentation verifies the effectiveness of the model.
Rabiner L R. A tutorial on hidden Markov models andselected applications in speech recognition[J].Proc. of IEEE.1989, 77(2):257-286[2]Li J, Najmi A, and Gray R M. Image classification by atwo-dimensional hidden Markov model[J].IEEE Trans. onSignal Processing.2000, 48(2):517-532[3]Othman H and Aboulnasr T. A separable low complexity 2DHMM with application to face recognition[J].IEEE Trans. onPattern Analysis and Machine Intelligence.2003, 25(10):1229-1238[4]Park M and Miller D J. Improved image decoding over noisychannels using minimum mean-squared estimation and aMarkov mesh[J].IEEE Trans. on Image Processing.1999, 8(6):863-867[5]Yu Lu and Wu Le-nan. Comments on a separable lowcomplexity 2D HMM with application to face recognition,IEEE Trans[J].on Pattern Analysis and Machine Intelligence.2007, 29(2):368-[6]Juang B H and Rabiner L R. The segmental K-meansalgorithm for estimating parameters of hidden Markovmodels[J].IEEE Trans. on Acostics Speech and SignalProcessing.1990, 38(9):1639-1641