Wavelet-domain hidden Markov models were recently proposed for statistical signal and image modeling. In this research, two important topics of wavelet-domain HMMs were studied with respect to the models and algorithms. One is how to adapt wavelet-domain HMMs to a variety of statistical image processing problems with efficient model learning. The other is how to develop effective inference algorithms using wavelet-domain HMMs for different applications, including denoising, segmentation, texture analysis and synthesis.

Related Publications

• G. Fan and X.-G. Xia, "Statistical Image Modeling and Processing Using Wavelet-Domain Hidden Markov Models", (book chapter) Nonlinear Signal and Image Processing: Theory, Methods, and Applications, K. E. Barner and G. R. Arce (Editors), CRC Press, 2003.

• G. Fan and X.-G. Xia, "Wavelet-based Texture Analysis and Synthesis Using Hidden Markov Models", IEEE Trans. Circuits and Systems, Part I, Vol. 50, No. 1, pp106-120, Jan. 2003.

• G. Fan, "Wavelet-Domain Statistical Image Modeling and Processing", Ph.D. dissertation, University of Delaware, Summer 2001.

• G. Fan and X.-G. Xia, "Image Denoising Using Local Contextual Hidden Markov Model in the Wavelet Domain", IEEE Signal Processing Letter, Vol. 8, No. 5, May 2001, pp125-128.

• G. Fan and X.-G. Xia, "Improved Hidden Markov Models in the Wavelet-Domain", IEEE Trans. on Signal Processing, Vol. 49, No. 1 Jan. 2001, pp115-120.

• G. Fan and X.-G. Xia, "Wavelet-Based Statistical Image Processing Using Hidden Markov Tree Model", in Proc. of the 2000 Conference on Information Science and Systems (CISS2000), Princeton, NJ, March, 2000, ppTA5-31-TA-5-36.

• G. Fan and X.-G. Xia, "Wavelet-Based Image Denoising Using Hidden Markov Models", in Proc. of the IEEE International Conference on Image Processing (ICIP2000), Vancouver, Canada, Sept. 2000.

• G. Fan and X.-G. Xia, "Texture Analysis and Synthesis Using Wavelet-Domain Hidden Markov Models", in Proc. of the 5th IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing, Baltimore, MD, June 2001.

• G. Fan and X.-G. Xia, "Maximum Likelihood Texture Analysis and Classification Using Wavelet-Domain Hidden Markov Models", in Proc. of the 34th Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, Oct. 29-Nov. 1, 2000.