Image probability distribution based on generalized gamma function

被引:31
作者
Chang, JH [1 ]
Shin, JW
Kim, NS
Mitra, SK
机构
[1] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA
[2] Seoul Natl Univ, Sch Elect Engn, Seoul 151742, South Korea
[3] Seoul Natl Univ, Inst New Media & Commun, Seoul 151742, South Korea
关键词
discrete cosine transform (DCT); generalized gamma function (G Gamma F); maximum likelihood;
D O I
10.1109/LSP.2005.843763
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this letter, we propose results of distribution tests that indicate that for many natural images, the statistics of the discrete cosine transform (DCT) coefficients are best approximated by a generalized gamma function (G Gamma F), which includes the conventional Gaussian, Laplacian, and gamma probability density functions. The major parameter of the G Gamma F is estimated according to the maximum likelihood (ML) principle. Experimental results on a number Of chi(2) tests indicate that the a G Gamma F can be used effectively for modeling the DCT coefficients compared to the conventional Laplacian and generalized Gaussian function (GGF).
引用
收藏
页码:325 / 328
页数:4
相关论文
共 14 条
[1]  
Chang JH, 2002, 2002 IEEE SPEECH CODING WORKSHOP PROCEEDINGS, P175, DOI 10.1109/SCW.2002.1215763
[2]  
Cohen A.C., 1988, Parameter Estimation in Reliability and Life SPAN Models
[3]   Wavelet-based texture retrieval using generalized Gaussian density and Kullback-Leibler distance [J].
Do, MN ;
Vetterli, M .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2002, 11 (02) :146-158
[4]  
DU Y, 1991, AEU-ARCH ELEKTRON UB, P148
[5]   Speech probability distribution [J].
Gazor, S ;
Zhang, W .
IEEE SIGNAL PROCESSING LETTERS, 2003, 10 (07) :204-207
[6]  
HAGER HW, 1970, J AM STAT ASSOC, V65, P1601, DOI DOI 10.1080/01621459.1970.10481190
[7]  
JAYANT NS, 1984, DIGITAL CODING WAVEF, pCH12
[8]   COMPARISON OF GENERALIZED GAUSSIAN AND LAPLACIAN MODELING IN DCT IMAGE-CODING [J].
JOSHI, RL ;
FISCHER, TR .
IEEE SIGNAL PROCESSING LETTERS, 1995, 2 (05) :81-82
[9]  
Lawless J.F., 2011, Statistical models and methods for lifetime data, V2nd
[10]  
MALLAT S, 1989, IEEE T PATTERN ANAL, V11, P7