Abstract
Here we define optimal image and edge estimators that attain the lower bounds of Chapter 3. For edge estimation we use the modified version of PPE, while for image estimation the two-dimensional LPE with appropriately chosen random windows is proposed. To concentrate on the main ideas we consider only the case of boundary fragments in Gaussian noise. Generalizations and extensions are delayed to Chapter 5.
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© 1993 Springer-Verlag New York, Inc.
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Korostelev, A.P., Tsybakov, A.B. (1993). Optimal Image and Edge Estimation for Boundary Fragments. In: Minimax Theory of Image Reconstruction. Lecture Notes in Statistics, vol 82. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2712-0_4
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DOI: https://doi.org/10.1007/978-1-4612-2712-0_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94028-1
Online ISBN: 978-1-4612-2712-0
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