We explore methods of signal filtering using solutions of diffusion-type nonlinear and nonlocal model equations as filter kernels. Basic feature of the considered filtering is replacement of commonly used Gaussian filter by a filter based on solutions of diffusion-type equations.
REFERENCES
1.
B. G.
Ageev
, Yu. V.
Kistenev
, E. P.
Krasnozhenov
, O. Yu.
Nikiforova
, E. S.
Nikotin
, G. S.
Nikotina
, Yu. N.
Ponomarev
, V. A.
Fokin
, Atmospheric and oceanic optics
21
(12
), 969
–974
(2008
).2.
E. B.
Bukreeva
, A. A.
Bulanova
, Yu. V.
Kistenev
, D. A.
Kuzmin
, S. A.
Tuzikov
, E. L.
Yumov
“Aanalysis of the absorption spectra of gas emission of patients with lung cancer and chronic obstructive pulmonary disease by laser optoacoustic spectroscopy
”, Proceedings of SPIE
(Russian Foundation for Basic Research, Russian Academy of Sciences, U.S. Civ. Res. Dev. Found. Indep., States Former Soviet Union (CRDF), SPIE Student Chapter
, 2013
), pp. 86990K
.3.
B. G.
Ageev
, Yu. V.
Kistenev
, O. Yu.
Nikiforova
, E. S.
Nikotin
, G. S.
Nikotina
, V. A.
Fokin
, Atmospheric and oceanic optics
23
(07
), 570
–579
(2010
).4.
D. A.
Vrazhnov
, A. V.
Shapovalov
, V. V.
Nikolaev
, Computer Research and Modeling
2
(4
), 369
–376
(2010
).5.
A. Yu.
Trifonov
, A. V.
Shapovalov
, Russian Physics Journal
52
(9
), 899
–911
(2009
).6.
M.
Lysaker
, A.
Lundervold
, Tai
Xue-Cheng
, IEEE Transactions on image processing
12
(12
), 1579
–1590
(2003
).7.
W.
Yingmei
, F.
Shujun
, L.
Wanlong
, Z.
Caiming
, Journal of Computational Design and Engineering
2
(2
), 113
–118
(2015
).8.
T.
Lindeberg
, International Journal of Computer Vision
30
(2
), 79
–116
(1998
).9.
P. J.
Olver
Application of Lie Groups to Differential Equations, Graduate Texts in Mathematics
(Springer– Verlag
, New York
, 1986
)10.
G. W.
Bluman
, A. F.
Cheviakov
and S. C.
Anco
Applications of Symmetry Methods to Partial Differential Equations, Applied Mathematical Sciences
(Springer
, New York
, 2010
).11.
C.
Tomasi
, R.
Manduchi
, “Computer Vision
”, Sixth International Conference
(1998
), pp. 839
–846
This content is only available via PDF.
© 2015 AIP Publishing LLC.
2015
AIP Publishing LLC
You do not currently have access to this content.