A variational model for filling-in gray level and color images
Ballester, C.; Caselles, V.; Verdera, J.; Bertalmio, M.; Sapiro, G.
Computer Vision, 2001. ICCV 2001. Proceedings. Eighth IEEE International Conference on
Volume 1, Issue , 2001 Page(s):10 - 16 vol.1
Digital Object Identifier 10.1109/ICCV.2001.937493
Summary:A variational approach for filling-in regions of missing data in
gray-level and color images is introduced in this paper. The approach is
based on joint interpolation of the image gray-levels and
gradient/isophores directions, smoothly extending in an automatic
fashion the isophote lines into the holes of missing data. This
interpolation is computed solving the variational problem via its
gradient descent flow, which lends to a set of coupled second order
partial differential equations, one for the gray-levels and one for the
gradient orientations. The process underlying this approach can be
considered as an interpretation of the Gestaltist's principle of good
continuation. No limitations are imposed on the topology of the holes,
and all regions of missing data can be simultaneously processed, even if
they are surrounded by completely different structures. Applications of
this technique include the restoration of old photographs and removal of
superimposed text like dates, subtitles, or publicity. Examples of these
applications are given
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