@Article{NMTMA-7-334,
author = {Wei Wang and Michael K. Ng},
title = {A Nonlocal Total Variation Model for Image Decomposition: Illumination and Reflectance},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2014},
volume = {7},
number = {3},
pages = {334--355},
abstract = {<p style="text-align: justify;">In this paper, we study to use nonlocal bounded variation (NLBV) techniques
to decompose an image intensity into the illumination and reflectance components.
By considering spatial smoothness of the illumination component and nonlocal total variation (NLTV)
of the reflectance component in the decomposition framework, an energy functional is constructed.
We establish the theoretical results of the space of NLBV functions such as
lower semicontinuity, approximation and compactness.
These essential properties of NLBV functions are important tools to show
the existence of solution of the proposed energy functional.
Experimental results on both grey-level and color images are shown to illustrate the usefulness of the nonlocal total variation
image decomposition model,
and demonstrate the performance of the proposed method is better than the other testing methods.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2014.1326nm},
url = {http://global-sci.org/intro/article_detail/nmtma/5878.html}
}