A multiresolution nonparametric regression and image de-noising

IEEE International Conference on Image Processing

Volumn 3, Issue , 2003, Pages 385-388

  Katkovnik, Vladimir ^a  

^a Gwangju Institute of Science and Technology (GIST)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; DIGITAL FILTERS; GAUSSIAN NOISE (ELECTRONIC); REGRESSION ANALYSIS; WAVELET TRANSFORMS;

LOCAL POLYNOMIAL APPROXIMATION (LPA); MULTIRESOLUTION APPROACH;

IMAGE PROCESSING;

EID: 0344271757     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. L. Birgé and P. Massart, "Gaussian model selection," Journal Eur. Math. Soc, vol. 3, 203-268, 2001.
2. L. Cavalier and A. B. Tsybakov, "Penalized blockwise Stein's method, monotone oracles and sharp adaptive estimation," Mathematical methods of statistics, vol. 10, N3, pp. 247-282, 2001.
3. J. Fan and I. Gijbels, Local polynomial modelling and its application. London: Chapman and Hall, 1996.
4. A. Goldenshluger and A. Nemirovski, "On spatial adaptive estimation of nonparametric regression," Math. Meth. Statistics, vol. 6, pp. 135-170, 1997.
5. W. Hardie, Kerkyacharian G., Picard D., and A. Tsybakov. Wavelets, approximation and statistical applications. Lecture Notes in Statistics, vol. 129, Springer, 1998.
6. V. Katkovnik, Nonparametric identification and smoothing of data (Local approximation methods). Nauka, Moscow, 1985 (in Russian).
7. V. Katkovnik, "A new method for varying adaptive bandwidth selection," IEEE Trans. on Signal Processing, vol. 47, No9, pp. 2567-2571, 1999.
8. V. Katkovnik, K. Egiazarian, and Jaakko Astola, "Adaptive window size image de-noising based on intersection of confidence intervals (ICI) rule," Journal of Mathematical Imaging and Vision, vol. 16, N 3. pp. 223-235, 2002.
9. V. Katkovnik, K. Egiazarian, and Jaakko Astola, Adaptive varying scale methods in image processing. Tampere International Center for Signal Processing, TICSP Series, N 19, Tampere, TTY, Monistamo, 2003.
10. O. Lepski, Mammen, E. and V. Spokoiny," Ideal spatial adaptation to inhomogeneous smoothness: an approach based on kernel estimates with variable bandwidth selection," Annals of Statistics, vol. 25, N 3, 929-947, 1997.
11. S. Mallat, A Wavelet Tow of Signal Processing, Academic Press, 1999.
12. S. Spokoiny, "Estimation of a function with discontinuities via local polynomial fit with an adaptive window choice," Annals of Statistics, vol. 26, N 4, pp. 1356-1378, 1998.