Entropy-based information theoretic approach has received considerable interest in image analysis recently. Using the relative entropy concept to threshold images is a newly developed technique in RSSIPL. Previous work on entropic thresholding is based on Shannon's entropy. The idea is to calculate Shannon's entropy based on a co-occurrence matrix and use it as a criterion for selecting an appropriate threshold value. The approach using relative entropy for image thresholding has been shown very competitive compared to Pal and Pal's methods where the relative entropy is chosen to be a thresholding criterion of measuring mismatch between an image and a thresholded image. RSSIPL is currently developing various approaches using relative entropy and applying to medical images, multispectral imagery, temporal image sequences, multistage thresholding and segmentation.

#### Scholarly papers

- Jianwei Wang,
*Image Segmentation Using Multistage Relative Entropy*, December 1993

#### Journal Publications

- C.-W. Yang, P.-C. Chung and C.-I Chang, "A hierarchical fast two-dimensional entropic thresholding algorithm using a histogram pyramid,"
*Optical Engineering*, vol. pp. 35, no. 11, pp. 3227-3241, 1996. - M.L.G. Althouse and C.-I Chang, "Target detection in multispectral imagery using spectral co-occurrence matrix and entropy thresholding,"
*Optical Engineering*, vol. 34, July, 1995, pp. 2135-2148. - C.-I Chang, K. Chen, J. Wang and M.L.G. Althouse, "A relative entropy-based approach to image thresholding,"
*Pattern Recognition*, vol. 27, no. 9, September, 1994, pp. 1275-1289.

#### Conference Publications

- C.-W. Yang, P.-C. Chung, C.-I Chang, J. Wang and M.L.G. Althouse, "Entropic and relative entropic thresholding,"
*International Computer Symposium'96*, Kaoshiung, Taiwan, ROC, 1996. - C.-W. Yang, P.-C. Chung and C.-I Chang, "A pyramid approach to two-dimensional entropic thresholding,"
*Proc. Conference on Computer Applications*, Nan Tou, Taiwan, R.O.C., April 21-22, 1995. - C.-I Chang, K. Chen, J. Wang and M.L.G. Althouse, "A relative entropy-based approach to image thresholding," Pattern Recognition, vol. 27, no. 9, September, 1994, pp. 1275-1289.
- C.-I Chang, J. Wang and M.L.G. Althouse, "Vapor cloud detection using relative entropy thresholding,"
*Proc. Signal Processing, Sensor Fusion and Target Recognition III*, SPIE, Orlando, Florida, April, 1994. - M.L.G. Althouse, J. Wang, C.-I Chang and J. Harsanyi, "Target detection in multispectral images using relative entropy thresholding,"
*International Symposium on Spectral Sensing Research '94 (ISSSR)*, San Diego, July 10-15, 1994. - M.L.G. Althouse and C.-I Chang, "Chemical vapor detection and mapping with a multispectral FLIR,"
*Instrumentation for Measurement and Imaging of Air Emissions*, SPIE, 1994. - K. Chen, M.L.G. Althouse and C.-I Chang, "A relative entropy approach to image thresholding,"
*Proceedings of 26th Annual Conference on Information Sciences and Systems*, Princeton University, Princeton, N.J., March 1992, pp. 907-911.

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