Stabilization of median smoother via variational approach

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F18%3A43915673" target="_blank" >RIV/60461373:22340/18:43915673 - isvavai.cz</a>
Result on the web
<a href="https://www.spiedigitallibrary.org/conference-proceedings-of-spie/10752/107522O/Stabilization-of-median-smoother-via-variational-approach/10.1117/12.2321226.short?SSO=1" target="_blank" >https://www.spiedigitallibrary.org/conference-proceedings-of-spie/10752/107522O/Stabilization-of-median-smoother-via-variational-approach/10.1117/12.2321226.short?SSO=1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1117/12.2321226" target="_blank" >10.1117/12.2321226</a>

Result language
angličtina
Original language name
Stabilization of median smoother via variational approach
Original language description
Traditional median smoother for 2D images is insensitive to impulse noise but generates flat areas as unwanted artifacts. The proposed approach to overcome this issue is based on the minimization of the regularized form of total variation functional. At first the continuous functional is defined for n-dimensional signal in an integral form with regularization term. The continuous functional is converted to the discrete form using equidistant spatial sampling in point grid of pixels, voxels or other elements. This approach is suitable for traditional signal and image processing. The total variance is then converted to the sum of absolute intensity differences as a minimization criterion. The functional convexity guarantees the existence of global minimum and absence of local extremes. Resulting non-linear filter iteratively calculates local medians using red-black method of Successive Over/Under Relaxation (SOR) scheme. The optimal value of the relaxation parameter is also subject to our study. The sensitivity to regularization parameter enables to design high-pass and nonlinear band-pass filters as the difference between the image and low-pass smoother or as the difference between two different low-pass smoothers, respectively. Various median based approaches are compared in the paper.
Czech name
—
Czech description
—

Project
<a href="/en/project/GA17-05840S" target="_blank" >GA17-05840S: Multicriteria Optimization of Shift-Variant Imaging System Models</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of SPIE Volume 10752 Applications of Digital Image Processing XLI
ISBN
978-1-5106-2076-6
ISSN
0277-786X
e-ISSN
1996-756X
Number of pages
6
Pages from-to
"107522O-1"-"107522O-6"
Publisher name
SPIE Society of Photo-Optical Instrumentation Engineers
Place of publication
Washington
Event location
San Diego
Event date
Aug 20, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000450861700089

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