A thresholding method based on two-dimensional Renyi's entropy

Sahoo, Prasanna K.; Arora, Gurdial

Affiliations

¹Department of Mathematics, University of Louisville, Louisville, KY 40292, US

²Department of Mathematics, Xavier University of Louisiana, New Orleans, LA 70125, USA

Abstract and keywords

In this paper, we present a new thresholding technique based on two-dimensional Renyi's entropy. The two-dimensional Renyi's entropy was obtained from the two-dimensional histogram which was determined by using the gray value of the pixels and the local average gray value of the pixels. This new method extends a method due to Sahoo et al. (Pattern Recognition 30 (1997) 71) and includes a previously proposed global thresholding method due to Abutaleb (Pattern Recognition 47 (1989) 22). Further, our method extends a global thresholding method due to Chang et al. (IEEE Trans. Image Process. 4 (1995) 370) to the two-dimensional setting. The effectiveness of the proposed method is demonstrated by using examples from the real-world and synthetic images.

Keywords: Renyi entropy; Shannon entropy; Image thresholding; Maximum entropy sum method; Entropic correlation method; Two-dimensional histogram; Two-dimensional entropic thresholding method

Links

DOI: 10.1016/j.patcog.2003.10.008

WoS: 000221553100005

History

Received: 2003-01-27

Accepted: 2003-1-22

Cited Works (13)

Year	Entry
1989	Pal N, Pal S. Entropic thresholding. Signal Process. 1989;16(2):97-108.
1978	Ridler TW, Calvard S. Picture thresholding using an iterative selection method. IEEE Trans Sys Man Cyb. 1978;8(8):630-632.
1995	Yen J-C, Chang F-J, Chang S. A new criterion for automatic multilevel thresholding. IEEE Trans Image Process. March 1995;4(3):370-378.
1990	Lee SU, Chung SY, Park RH. A comparative performance study of several global thresholding techniques for segmentation. Comput Vis Graph Image Proc. November 1990;52(2):171-190.
1993	Li CH, Lee CK. Minimum cross entropy thresholding. Patt Recogn. 1993;26(4):617-625.
1979	Otsu N. A threshold selection method from gray-level histograms. IEEE Trans Sys Man Cyb. 1979;9(1):62-66.
1989	Wong AKC, Sahoo PK. A gray-level threshold selection method based on maximum entropy principle. IEEE Trans Sys Man Cyb. 1989;19(4):866-871.
1988	Sahoo PK, Soltani S, Wong AKC. A survey of thresholding techniques. Comput Vis Graph Image Proc. 1988;41(2):233-260.
1985	Kapur JN, Sahoo PK, Wong AKC. A new method for gray-level picture thresholding using the entropy of the histogram. Comput Vis Graph Image Proc. 1985;29(3):273-285.
1997	Sahoo P, Wilkins C, Yeager J. Threshold selection using Renyi's entropy. Patt Recogn. January 1997;30(1):71-84.
1989	Abutaleb AS. Automatic thresholding of gray-level pictures using two-dimensional entropy. Comput Vis Graph Image Proc. 1989;47(1):22-32.
1979	Weszka JS, Rosenfeld A. Histogram modification for threshold selection. IEEE Trans Sys Man Cyb. 1979;9(1):38-52.
1978	Weszka JS. A survey of threshold selection techniques. Comput Graph Image Proc. 1978;7(2):259-265.