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Summary: IEEE TRANSACTIONS ON IMAGE PROCESSING, VOL. 10, NO. 6, JUNE 2001 885
Oriented Texture Completion by AMFM
ReactionDiffusion
Scott T. Acton, Senior Member, IEEE, Dipti Prasad Mukherjee, Joebob P. Havlicek, Senior Member, IEEE, and
Alan Conrad Bovik, Fellow, IEEE
Abstract--We provide an automated method to repair broken,
occluded oriented image textures. Our approach is based on par-
tial differential equations (PDEs) and AMFM image modeling.
Reconstruction of the texture occurs via simultaneous PDE-gen-
erated diffusion and reaction. In the diffusion process, the image
is adaptively smoothed, preserving important boundaries and fea-
tures. The reaction process produces the reconstructed textural
information in the occluded image regions. Gabor filters are de-
signed and used in the reaction process using an AMFM domi-
nant component analysis. An AMFM model of the texture image
is constructed, making it possible to localize the reaction filters
spatiospectrally. In contrast to previous disocclusion techniques
that depend on interpolation, on continuity of the connected com-
ponents within the image level sets, or on texture estimation, the
reactiondiffusion process proposed here yields a seamless transi-
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