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A Novel Anisotropic Local Polynomial Estimator Based on Directional Multiscale Optimizations (2004)  (Make Corrections)  (4 citations)
Alessandro Foi, Vladimir Katkovnik, Karen Egiazarian, Jaakko Astola



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Abstract: A novel anisotropic estimator for image restoration is presented. The proposed approach originates from the geometric idea of a starshaped estimation neighborhood topology. In this perspective, an optimal adaptation is achieved by selecting in a pointwise fashion the ideal starshaped neighborhood for the estimation point. In practice, this neighborhood is approximated by a sectorial structure composed by conical sectors of adaptive size. Special varying-scale kernels, supported on these... (Update)

Cited by:   More
Pointwise Shape-Adaptive DCT for High-Quality Denoising .. - Foi, Katkovnik.. (2006)   (Correct)
From Local Polynomial Approximation to Pointwise.. - Foi, Katkovnik (2006)   (Correct)
Anisotropic Local Likelihood Approximations.. - Katkovnik, Foi.. (2005)   (Correct)

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BibTeX entry:   (Update)

Foi, A., Katkovnik, V., Egiazarian, K. & Astola, J., 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). http://citeseer.ist.psu.edu/foi04novel.html   More

@misc{ foi04novel,
  author = "A. Foi and V. Katkovnik and K. Egiazarian and J. Astola",
  title = "A novel anisotropic local polynomial estimator based on directional multiscale
    optimizations",
  text = "Foi, A., Katkovnik, V., Egiazarian, K. & Astola, J., 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).",
  year = "2004",
  url = "citeseer.ist.psu.edu/foi04novel.html" }
Citations (may not include all citations):
540   Scale-space and edge detection using anisotropic diffusion (context) - PERONA, MALIK - 1990
519   A wavelet tour of signal processing (context) - MALLAT - 1999
126   Local polynomial modelling and its application (context) - FAN, GIJBELS - 1996
20   On spatial adaptive estimation of nonparametric regression (context) - GOLDENSHLUGER, NEMIROVSKI - 1997
16   A new method for varying adaptive bandwidth selection - KATKOVNIK - 1999
2   Adaptive window size image de-noisingbasedonintersectionofco.. (context) - KATKOVNIK, EGIAZARIAN et al. - 2002

Documents on the same site (http://www.cs.tut.fi/~lasip/index.html):   More
Anisotropic Local Likelihood Approximations.. - Katkovnik, Foi.. (2005)   (Correct)
Multiresolution local polynomial regression: A new approach to.. - Katkovnik (2005)   (Correct)
A New Method for Varying Adaptive Bandwidth Selection - Katkovnik (1999)   (Correct)

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