Reconstructed Quantized Coefficients Modeled with Generalized Gaussian Distribution with Exponent 1/3

• Autorzy: Krupiński R.

Identyfikatory

DOI

10.1515/ipc-2016-0019

• Języki publikacji: EN

Abstrakty

EN

Generalized Gaussian distribution (GGD) includes specials cases when the shape parameter equals p = 1 and p = 2. It corresponds to Laplacian and Gaussian distributions respectively. For p → ∞, f(x) becomes a uniform distribution, and for p → 0, f(x) approaches an impulse function. Chapeau-Blondeau et al. considered another special case p = 0.5. The article discusses more peaky case in which GGD p = 1/3.

Słowa kluczowe

EN

Generalized Gaussian distribution; maximum likelihood estimation; quantization; reconstruction

• Wydawca: Instytut Telekomunikacji i Informatyki Uniwersytetu Technologiczno-Przyrodniczego w Bydgoszczy
• Czasopismo: Image Processing & Communications
• Rocznik: 2016
• Tom: Vol. 21, no. 4
• Strony: 5--12
• Opis fizyczny: Bibliogr. 34 poz., rys., tab.

Twórcy

autor

Krupiński R.

• West-Pomeranian University of Technology in Szczecin, Chair of Signal Processing and Multimedia Engineering,ul. 26-Kwietnia 10, 71-126 Szczecin, Poland

Bibliografia

• [1] Achim, A., Bezerianos, A., Tsakalides, P. (2001). Novel Bayesian multiscale method for speckle removal in medical ultrasound images. IEEE transactions on medical imaging, 20(8), 772-783.
• [2] Ahumada, A.J., Horng, R. (1994, January). Smoothing DCT compression artifacts. In SID Symposium Digest of Technical Papers (Vol. 25, pp. 708-708). Society for Information Display
• [3] Box, G. E., Tiao, G. C. (2011). Bayesian inference in statistical analysis (Vol. 40). John Wiley & Sons
• [4] Chapeau-Blondeau, F., Monir, A. (2002). Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2. IEEE transactions on signal processing, 50(9), 2160-2165
• [5] Clarke, R.J. (1985). Transform coding of images. Astrophysics
• [6] Deutch, R. (1965). Estimation theory. Prentice-Hall, Englewood Cliffs, N.J.
• [7] Du, Y. (1991). Ein sphärisch invariantes Verbunddichtemodell für Bildsignale. AEU. Archiv für Elektronik und Übertragungstechnik, 45(3), 148-159.
• [8] Farvardin, N., Modestino, J. (1984). Optimum quantizer performance for a class of non-Gaussian memoryless sources. IEEE Transactions on Information Theory, 30(3), 485-497.
• [9] Hernandez, J. R., Amado, M., Perez-Gonzalez, F. (2000). DCT-domain watermarking techniques for still images: Detector performance analysis and a new structure. IEEE transactions on image processing, 9(1), 55-68.
• [10] ISO/IEC. (1993). Coding of moving pictures and associated audio for digital storage media up to about 1,5 Mbits/s. International Standard 11172
• [11] ISO/IEC. (1994). Generic coding of moving pictures and associated audio information. International Standard 13818
• [12] ISO/IEC. (1998). Information technology – coding of audio-visual objects. International Standard 14496
• [13] Kokkinakis, K., Nandi, A. K. (2005). Exponent parameter estimation for generalized Gaussian probability density functions with application to speech modeling. Signal Processing, 85(9), 1852-1858
• [14] Krupiński, R., Purczyński, J. (2007). Modeling the distribution of DCT coefficients for JPEG reconstruction. Signal Processing: Image Communication, 22(5), 439-447
• [15] Krupiński, R. (2015). Approximated fast estimator for the shape parameter of generalized Gaussian distribution for a small sample size. Bulletin of the Polish Academy of Sciences Technical Sciences, 63(2), 405-411
• [16] Krupiński, R., Purczyński, J. (2004). First absolute moment and variance estimators used in JPEG reconstruction. IEEE Signal Processing Letters, 11(8), 674-677
• [17] Krupiński, R., Purczyński, J. (2006). Approximated fast estimator for the shape parameter of generalized Gaussian distribution. Signal Processing, 86(2), 205-211
• [18] Lavu, S., Choi, H., Baraniuk, R. (2003, March). Estimation-quantization geometry coding using normal meshes. In Data Compression Conference, 2003. Proceedings. DCC 2003 (pp. 362-371). IEEE
• [19] Lehmann, E.L., Casella, G. (2006). Theory of point estimation. Springer Science & Business Media
• [20] Ma, L., Wang, X., Liu, Q., Ngan, K. N. (2016). Reorganized DCT-based image representation for reduced reference stereoscopic image quality assessment. Neurocomputing, 215, 21-31
• [21] Olver, F.W.J. (1974). Asymptotics and special functions Academic. New York, 33
• [22] Paez, M., Glisson, T. (1972). Minimum mean-squared-error quantization in speech PCM and DPCM systems. IEEE Transactions on Communications, 20(2), 225-230
• [23] Pennebaker, W. B., Mitchell, J. L. (1992). JPEG: Still image data compression standard. Springer Science & Business Media.
• [24] Price, J. R., Rabbani, M. (1999). Biased reconstruction for JPEG decoding. IEEE Signal Processing Letters, 6(12), 297-299
• [25] Recommendation H.262. ITU-T. (1995). Information technology - Generic coding of moving pictures and associated audio information: Video
• [26] Recommendation H.263. ITU-T. (1996). Video coding for low bitrate communication
• [27] Sharifi, K., Leon-Garcia, A. (1995). Estimation of shape parameter for generalized Gaussian distributions in subband decompositions of video. IEEE Transactions on Circuits and Systems for Video Technology, 5(1), 52-56
• [28] Song, C., Li, F., Dang, Y., Gao, H., Yan, Z., Zuo, W. (2016). Structured detail enhancement for cross-modality face synthesis. Neurocomputing, 212, 107-120
• [29] Stark, H., Woods, J. W. (2014). Probability and Random Processes with Applications to Signal Processing: International Edition. Pearson Higher Ed.
• [30] Yu, S., Zhang, A., Li, H. (2012). A review of estimating the shape parameter of generalized Gaussian distribution. J. Comput. Inf. Syst, 8(21), 9055-9064
• [31] Wang, C. (2015, October). Research of image segmentation algorithm based on wavelet transform. In Computer and Communications (ICCC), 2015 IEEE International Conference on (pp. 156-160). IEEE
• [32] Wang, R., Li, R., Sun, H. (2016). Haze removal based on multiple scattering model with superpixel algorithm. Signal Processing, 127, 24-36.
• [33] Zhang, Y., Wu, J., Xie, X., Li, L., Shi, G. (2016). Blind image quality assessment with improved natural scene statistics model. Digital Signal Processing, 57, 56-65
• [34] Zwillinger, D., Kokoska, S. (1999). CRC standard probability and statistics tables and formulae. Crc Press.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).