Publications

2010

Katkovnik, V., A. Foi, K. Egiazarian, and J. Astola, “From local kernel to nonlocal multiple-model image denoising”, Int. J. Computer Vision, vol. 86, no. 1, pp. 1-32, January 2010. doi:10.1007/s11263-009-0272-7

2009

Foi, A., “Clipped noisy images: heteroskedastic modeling and practical denoising”, Signal Processing, vol. 89, no. 12, pp. 2609-2629, December 2009. doi:10.1016/j.sigpro.2009.04.035

Mäkitalo, M., and A. Foi, “Optimal inversion of the Anscombe transformation in low-count Poisson image denoising”, preprint, submitted to IEEE Trans. Image Process., October 2009.

Danielyan, A., A. Foi, V. Katkovnik, and K. Egiazarian, “Spatially adaptive filtering as regularization in inverse imaging: compressive sensing, upsampling, and super-resolution”, in Super-Resolution Imaging (P. Milanfar, ed.) to be published by CRC Press / Taylor & Francis, ISBN: 978-1-4398-1930-2.

Pirinen, O., A. Foi, and A. Gotchev, “Color High Dynamic Range Imaging: Algorithms for Acquisition and Display”, in Computational Photography: Methods and Applications (R. Lukac, ed.) to be published by CRC Press / Taylor & Francis, ISBN: 978-1-4398-1749-0.

Foi, A., “Optimization of variance-stabilizing transformations”, preprint, submitted 2009.

Mäkitalo, M., and A. Foi, “On the inversion of the Anscombe transformation in low-count Poisson image denoising”, Proc. Int. Workshop on Local and Non-Local Approx. in Image Process., LNLA 2009, Tuusula, Finland, pp. 26-32, August 2009. doi:10.1109/LNLA.2009.5278406

Danielyan, A., and A. Foi, “Noise variance estimation in nonlocal transform domain”, Proc. Int. Workshop on Local and Non-Local Approx. in Image Process., LNLA 2009, Tuusula, Finland, pp. 41-45, August 2009. doi:10.1109/LNLA.2009.5278404

Danielyan, A., M. Vehviläinen, A. Foi, V. Katkovnik, and K. Egiazarian, “Cross-color BM3D filtering of noisy raw data”, Proc. Int. Workshop on Local and Non-Local Approx. in Image Process., LNLA 2009, Tuusula, Finland, pp. 125-129, August 2009. 10.1109/LNLA.2009.5278395

Boracchi, G., and A. Foi, “Uniform motion blur in Poissonian noise: blur/noise trade-off”, submitted to IEEE Trans. Image Process., June 2009.

Dabov, K., A. Foi, V. Katkovnik, and K. Egiazarian, “BM3D Image Denoising with Shape-Adaptive Principal Component Analysis”, Proc. Workshop on Signal Processing with Adaptive Sparse Structured Representations (SPARS'09), Saint-Malo, France, April 2009. HAL

2008

Foi, A., “Practical denoising of clipped or overexposed noisy images”, Proc. 16th European Signal Process. Conf., EUSIPCO 2008, Lausanne, Switzerland, August 2008.

Danielyan, A., A. Foi, V. Katkovnik, and K. Egiazarian, “Image Upsampling Via Spatially Adaptive Block-Matching Filtering”, Proc. 16th European Signal Process. Conf., EUSIPCO 2008, Lausanne, Switzerland, August 2008.

Paliy, D., A. Foi, R. Bilcu, V. Katkovnik, and K. Egiazarian, “Joint deblurring and demosaicing of Poissonian Bayer-data based on local adaptivity”, Proc. 16th European Signal Process. Conf., EUSIPCO 2008, Lausanne, Switzerland, August 2008.

Boracchi, G., and A. Foi, “Multiframe raw-data denoising based on block-matching and 3-D filtering for low-light imaging and stabilization”, Proc. Int. Workshop on Local and Non-Local Approx. in Image Process., LNLA 2008, Lausanne, Switzerland, August 2008.

Katkovnik, V., A. Foi, K. Egiazarian, and J. Astola, “Nonparametric regression in imaging: from local kernel to multiple-model nonlocal collaborative filtering”, Proc. Int. Workshop on Local and Non-Local Approx. in Image Process., LNLA 2008, Lausanne, Switzerland, August 2008.

Danielyan, A., A. Foi, V. Katkovnik, and K. Egiazarian, “Image and video super-resolution via spatially adaptive block-matching filtering”, Proc. Int. Workshop on Local and Non-Local Approx. in Image Process., LNLA 2008, Lausanne, Switzerland, August 2008.

Dabov, K., A. Foi, V. Katkovnik, and K. Egiazarian, “A nonlocal and shape-adaptive transform-domain collaborative filtering”, Proc. Int. Workshop on Local and Non-Local Approx. in Image Process., LNLA 2008, Lausanne, Switzerland, August 2008.

Katkovnik, V., A. Foi, K. Dabov, and K. Egiazarian, “Spatially adaptive support as a leading model-selection tool for image filtering”, Proc. First Workshop Inf. Th. Methods Sci. Eng., WITMSE, Tampere, August 2008.

Foi, A., M. Trimeche, V. Katkovnik, and K. Egiazarian, “Practical Poissonian-Gaussian noise modeling and fitting for single image raw-data”, IEEE Trans. Image Process., vol. 17, no. 10, pp. 1737-1754, October 2008.

Paliy, D., A. Foi, R. Bilcu, V. Katkovnik, “Denoising and interpolation of noisy Bayer data with adaptive cross-color filters”, SPIE-IS&T Electronic Imaging, Visual Communications and Image Processing 2008, vol. 6822, no. 6822-1K, San Jose (CA), USA, January 2008.

Boracchi, G., A. Foi, V. Katkovnik, and K. Egiazarian, “Deblurring Noisy Radial-Blurred Images: a spatially adaptive filtering approach,” Proc. SPIE Electronic Imaging '08, vol. 6812, no. 6812-07, San Jose (CA), USA, January 2008.

Dabov, K., A. Foi, V. Katkovnik, and K. Egiazarian, “Image restoration by sparse 3D transform-domain collaborative filtering, ” Proc. SPIE Electronic Imaging '08, vol. 6812, no. 6812-1D, San Jose (CA), USA, January 2008.

2007

Foi, A., Pointwise shape-adaptive DCT image filtering and signal-dependent noise estimation, Tampere University of Technology, Publication 710, ISBN 978-952-15-1922-2, December 2007.

Foi, A., S. Alenius, V. Katkovnik, and K. Egiazarian, “Noise measurement for raw-data of digital imaging sensors by automatic segmentation of non-uniform targets”, IEEE Sensors Journal, vol. 7, no. 10, pp. 1456-1461, October 2007.

Foi, A., V. Katkovnik, and K. Egiazarian, “Signal-dependent noise removal in Pointwise Shape-Adaptive DCT domain with locally adaptive variance”, Proc. 15th European Signal Process. Conf., EUSIPCO 2007, Poznan, September 2007.

Foi, A., “Spatially adaptive local approximations in signal and image processing: varying-scale polynomials, anisotropic adaptation, shape-adaptive transforms”, Lecture notes of the tutorial given at the 15th European Signal Process. Conf., EUSIPCO 2007, Poznan, September 2007.

Katkovnik, V., A. Foi, K. Egiazarian, “Mix-distribution modeling for overcomplete denoising”, Proc. 9th workshop on Adaptation and Learning in Control and Signal Processing (ALCOSP'07), St. Petersburg, Russia, August, 29-31, 2007.

Foi, A., V. Katkovnik, and K. Egiazarian, “Pointwise Shape-Adaptive DCT for High-Quality Denoising and Deblocking of Grayscale and Color Images”, IEEE Trans. Image Process., vol. 16, no. 5, pp. 1395-1411, May 2007. doi:10.1109/TIP.2007.891788

Egiazarian, K., A. Foi, and V. Katkovnik, “Compressed Sensing Image Reconstruction via Recursive Spatially Adaptive Filtering”, Proc. IEEE Int. Conf. Image Process., ICIP 2007, San Antonio (TX), USA, pp. 549-552, September 2007.

Dabov, K., A. Foi, V. Katkovnik, and K. Egiazarian, “Joint image sharpening and denoising by 3D transform-domain collaborative filtering, ” Proc. 2007 Int. TICSP Workshop Spectral Meth. Multirate Signal Process., SMMSP 2007, Moscow, Russia, September 2007.

Dabov, K., A. Foi, and K. Egiazarian, “Video denoising by sparse 3D transform-domain collaborative filtering, ” Proc. 15th European Signal Processing Conference, EUSIPCO 2007, Poznan, Poland, September 2007.

Dabov, K., A. Foi, V. Katkovnik, and K. Egiazarian, “Color image denoising via sparse 3D collaborative filtering with grouping constraint in luminance-chrominance space, ” Proc. IEEE Int. Conf. Image Process., ICIP 2007, San Antonio, TX, USA, September 2007.

Dabov, K., A. Foi, V. Katkovnik, and K. Egiazarian, “Image denoising by sparse 3D transform-domain collaborative filtering, ” IEEE Trans. Image Process., vol. 16, no. 8, pp. 2080-2095, August 2007. doi:10.1109/TIP.2007.901238

Pirinen, O., A. Foi, and A. Gotchev, “Color High Dynamic Range Imaging: The Luminance-Chrominance Approach”, Int. J. Imaging Systems and Technology (IJIST), Special Issue on Applied Color Image Processing, vol. 17., no. 3, pp. 152-162, October 2007.

Pirinen, O., A. Foi, and A. Gotchev, “Color High Dynamic Range (HDR) Imaging in Luminance-Chrominance Space”, Proc. Third Int. Workshop on Video Processing and Quality Metrics for Consumer Electronics, VPQM2007, Scottsdale (AZ), USA, January 2007.

2006

Foi, A., V. Katkovnik, and K. Egiazarian, “Pointwise Shape-Adaptive DCT for high-quality deblocking of compressed color images”, Proc. 14th European Signal Process. Conf., EUSIPCO 2006, Florence, September 2006.

Foi, A., and V. Katkovnik, “From local polynomial approximation to pointwise shape-adaptive transforms: an evolutionary nonparametric regression perspective”, Proc. Int. TICSP Workshop Spectral Meth. Multirate Signal Process., SMMSP 2006, Florence, September 2006.

Foi, A., S. Alenius, M. Trimeche, and V. Katkovnik, “Adaptive-size block transforms for Poissonian image deblurring”, Proc. Int. TICSP Workshop Spectral Meth. Multirate Signal Process., SMMSP 2006, Florence, September 2006.

Dabov, K., A. Foi, V. Katkovnik, and K. Egiazarian, “Inverse halftoning by pointwise shape-adaptive DCT regularized deconvolution”, Proc. Int. TICSP Workshop Spectral Meth. Multirate Signal Process., SMMSP 2006, Florence, September 2006.

Foi, A., R. Bilcu, V. Katkovnik, and K. Egiazarian, “Adaptive-size block transforms for signal-dependent noise removal”, Proc. 7th Nordic Signal Processing Symposium, NORSIG 2006, Reykjavik, Iceland, June 7-9, 2006.

Foi, A., Dabov, K., V. Katkovnik, and K. Egiazarian, “Shape-Adaptive DCT for denoising and image reconstruction”, Proc. SPIE Electronic Imaging 2006, Image Processing: Algorithms and Systems V, 6064A-18, San Jose, CA, January 2006.

Dabov, K., A. Foi, V. Katkovnik, and K. Egiazarian, “Image denoising with block-matching and 3D filtering, ” Proc. SPIE Electronic Imaging '06, no. 6064A-30, San Jose, California, USA, January 2006.

Foi, A., V. Katkovnik, D. Paliy, K. Egiazarian, M. Trimeche, S. Alenius, R. Bilcu, M. Vehviläinen, “Apparatus, method, mobile station and computer program product for noise estimation, modeling and filtering of a digital image”, United States Patent 7,652,788, granted January 26, 2010 (Applications no. 11/426,128, June 23, 2006, and no. 11/519,722, September 11, 2006).

Foi, A., V. Katkovnik, and K. Egiazarian, “Pointwise Shape-Adaptive DCT denoising with structure Preservation in Luminance-Chrominance Space”, Proc. of the 2nd Int. Workshop on Video Process. and Quality Metrics for Consumer Electronics, VPQM2006, Scottsdale, AZ, January 2006.

Boev, A., A. Foi, K. Egiazarian, and V. Katkovnik, “Adaptive scales as a structural similarity indicator for image quality assessment”, Proc. of the 2nd Int. Workshop on Video Process. and Quality Metrics for Consumer Electronics, VPQM2006, Scottsdale, AZ, January 2006.

Shulev, A., A. Gotchev, A. Foi, and I.R. Roussev, “Threshold selection in transform-domain denoising of speckle pattern fringes”, Proc. SPIE 6252 (Holography 2005: Int. Conf. on Holography, Optical Recording, and Processing of Information), pp. 625220.1-625220.7, 2006.

2005

Foi, A., Anisotropic nonparametric image processing: theory, algorithms and applications, Ph.D. Thesis, Dip. di Matematica, Politecnico di Milano, April 2005.         Introduction and Table of Contents (html)

Foi, A., S. Alenius, M. Trimeche, V. Katkovnik, and K. Egiazarian, “A spatially adaptive Poissonian image deblurring”, Proc. of IEEE 2005 Int. Conf. Image Processing, ICIP 2005, Genova, September 2005.

Foi, A., R. Bilcu, V. Katkovnik, and K. Egiazarian, “Anisotropic local approximations for pointwise adaptive signal-dependent noise removal”, Proc. XIII European Signal Process. Conf., EUSIPCO 2005, Antalya, September 2005.

Foi, A., V. Katkovnik, and K. Egiazarian, “Pointwise Shape-Adaptive DCT as an overcomplete denoising tool”, Proc. Int. TICSP Workshop Spectral Meth. Multirate Signal Process., SMMSP 2005, Riga, 2005.

Katkovnik, V., A. Foi, K. Egiazarian, and J. Astola, “Anisotropic local likelihood: theory, algorithms, applications”, Proc. of El. Imaging 2005: Image Processing: Algorithms and Systems IV, 5672-19, 2005.

Ercole, C., A. Foi, V. Katkovnik, and K. Egiazarian, “Spatio-temporal pointwise adaptive denoising of video: 3D non-parametric approach”, Proc. of the 1st Int. Workshop on Video Process. and Quality Metrics for Consumer Electronics, VPQM2005, 2005.

≤ 2004

Foi, A., V. Katkovnik, K. Egiazarian, and J. Astola, “A novel anisotropic local polynomial estimator based on directional multiscale optimizations”, Proc. of the 6th IMA Int. Conf. Math. in Signal Processing, Cirencester (UK), pp. 79-82, 2004.

Foi, A., V. Katkovnik, K. Egiazarian, and J. Astola, “Inverse halftoning based on the anisotropic LPA-ICI deconvolution”, Proc. Int. TICSP Workshop Spectral Meth. Multirate Signal Process., SMMSP 2004, Vienna, pp. 49-56, 2004.

Katkovnik, V., A. Foi, K. Egiazarian, and J. Astola, “Directional varying scale approximations for anisotropic signal processing”, Proc. of XII European Signal Process. Conf., EUSIPCO 2004, pp. 101-104, 2004.

Foi, A., Piastrellamenti di spazi di Banach, (in italian, english title: Tilings of Banach spaces) Tesi di Laurea in Matematica, Dipartimento di Matematica, Università degli Studi di Milano, 2001.