Том 2

8. . / 2 , .; . ./. 6 , . . ., " . (#$ « % »)

! !

'" = 8 $" / #% # & $# ? &*E#- 8# ?O 8 8# A !# " / # ! 8 ## (#% ? #/ # # ) & % & # , # & $& > # ? . ?O 8> A !# " / # ! 8 ## * #, #8 $C 8 # " A E #/ * "- ? &* % ? &A # 8 " # A !# " / # ! 8 ##. D = " @=# 8 > " # A !# " / # ! 8 ## " $8# "- > ?& > & A# # # , > #8 @ " = "- >/ " — ?& >/ C!! [01].

# , & # &* # # & " # $ - "$&* >8, # ?&-$" >8. &*, #? & ?% &*- 8 # #@, & ""8 # * #% ? # # # ? > ?O , > & # ? #%8 *" % " ! 8# # ?O " # # ? & # > ?O " = " @=#8. <- " & # A !# " / # ! 8 ## # " #, " @ *, 8 * ? & A#? #/ # ? >/ $ # 8$" ## # # # , 8 " = " @=# ?& > 8 > [3]. " # " >8 8 8 " " # 8, ?> $" # * #% ? # ? 8 % #- 8> , "" & # #% ? # $#% # *, > & " $8- =*@ # A & ## & $A >, > # ? $#" # * #-$& # «% #8> » [4].

'& $" & 8 " # #% ? #/ # # " $8 =*@ " A $" & # , ? %# @= A " # A & ## & [2],> # "$# " # , " #% ? # # 8 # ?- > &A # 8 .

D $" & # A !# " / # ! 8 ## $#8 #8 &*-# & " # , # # ?& " , " % # 3D ?O? % 2D #% ? #/, # A 3D-?O # . .

0 +

1.A * ., R + . < ?& 8> # $"$# > % # # "#" 8 #- # # 8# " # #% ? #/ // MediaVision. 2011. R 2. D. 55—64.

2.% . . # A & # & # $#8 # — 8" : %- , 2002.

3.Vianney Munoz-Jimenez, Anissa Mokraoui, Jean Pierre. Astrunc Adaptive hietatchical grid motion estimation algorithms for video coding application at low bit-rate communication // ISSPA 2010.

4.Demaret L., Iske A. Anisotropic Triangulation Methods in Adaptive Image Approximation// http://www.math.uni-hamburg.de/home/iske/papers/a4a6.pdf.

91

7. . < , .; . . . / &: , . . ., . (#$ « % »)

WEB-

'$"& 8 " %# " % # # 8 #-& A#/ " # # >8 ? # 8 "$E % # " # #" # .

'/ ? ""8 # @ " $"> # % ## ? / C& # " / & ? ##, # >8# "& 8#, $"> % ? # $A 88 / " >, $% & @= / $" # #""& # % > !#- %# " # & #/ ?& " # C& # #, $A # $# &- ? > ? ? % $" " A "$ & ? 8 " . / # &* >/ C "$#8 8 ?> * "$ E# 8 A $&*% & / # $# " # A # $ 8 # # A !#%# " A & A .

? $" = $" 8 " % # # &* A web-" , $% A & #" # # " C& # " # " 8 #, $ " #, & " % # # 8 ? , $#" > [1].

""8 # 8>/ web-" $" & " ? / # &* >/ & ? >/ " , $% & @=#/ " % * #% ? # (« #" *») C& # " / " 8> # " % "" # > * # $# % > %& # . >/ 8 8 / " $% & ? * " $ - 8# &@? / "& " # # $# ? " "& @=#8# C& 8 8#: " # # &* >/ $# , %#" , 8$8 , &* 8 # #" #

D. & ? & A # ? A #" # " $# #,$&@" # # #8 @ $# % # #8 / # / " . & " % # $&@" # , # & $# , #"$&*% @ " «A # & #E#».

'" #" > " 8> # % &* > # " 8 %$#" * ? % > " $"& @=#8 >% 8 # C # %8 " *@ 8 #- !# ## C& # " / " 8>. ' " & A## ? "$# @= / ? ""8 # 8 A web-" , #"$&*% " web-& A# LAMP (Linux-Apache-MySQL-PHP), $A 88# # " 8 A "-" = " & " Adobe Flash.

""8 > & $> % ? # #"$&*% #@ %- > C& 8 # &* / C& # " / & ? ## $ - " & @ " "*8 &* >8#, " ? " "8 = # ? / A % # " " 8 " &* / ? > " .

0 +

1. • F .'., Y/ . ., 0 . . '# % # ? / C& # " / & ? ##: > 8 / -8 # " / ! ## M —2012.

92

*. . , .; . ./. 6 , . . ., " . (#$ « % »)

' " = 8 " ' # " , $" # ? ? > " A 8 " # ! 8 ##. U &*E & C / # ! 8 ## $#- # " # , $#8 , # & ! ## # # ! " %#, $ -# # ? "$> " 3G, ' $>E / " #.

? # " # $" " , 8 " ? &*E $"& # " # #"$&*% #@ & > # " ($#8 , YouTube), % # &* / A % & " %# # #@ #= > ( " ). < C 8 & &* > "

# $&*% % # " > $#8 ## " # & C!! # A #"$&*% # & $# > # ? # # #- ! 8 ## [1].

D $& # 8 > #$ ( 8 & # # , 8 &* #- # # # . .) % # & $?& 8 C!! # A $" & # # " # 8 A 8 A "#A & [2].

U>& $#8 8 TT (tensor-train decomposition [3]), #"$&*% 8>/ & $$"#8 ## % (8 A 8 > 8 ""# ), # A 8 #!# # WTT (wavelet tensor-train [4]) & " # #% ? #/. % > $$ - "#8 ## $#8 @ " / / &A ? & 8$A $" & # > ? &*E / %8 " # # & " # > #"& #/.

< % C!! # " * A $, # $ " # " "- 8 >8# 8 8# " # #% ? #/ JPEG # JPEG2000.

< # " $#8 # A $ %8 "& , A ? " # * ? $* ? &*E# ?O 8> # ! 8 ##. $#- 8 , "#" 8> # ?&@ # ( ? " # * &* 8 ? &*E / ?O 8 # # ! 8 ##), " # #% ? #/ >" A %- E # (? &*E 2048 $# " & ), ? " 8# 8 " " #.

0 +

1.A * ., R + . < ?& 8> # $"$# > % # # "#" 8 #- # # 8# " # #% ? #/ // MediaVision. 2011. R 2. D. 55—64.

2.R + . A 8 > 8 A " " > "#" 8> ? ? # "#A & . — .: "! , 2009. — 480 c.

3.Oseledets I. V., tensor-train decomposition // SIAM J. Sci.Comput. 2011.Vol. 33. No. 5. . 2295—2317.

4.Oseledets I. V., Tyrtyshnikov E.E. Algebraic wavelet transform via quantics tensor train decomposition: Preprint 2010-03. M.: INM RAS, 2010.

93

*. . , .; . . . < " ! , . . ., . . . (#$ « % »)

!

& ""# " #/ &A # 8 #%8 # # A "$# & # ?8 # "#& A "! 8 (D ), " >/ $# #$ # # - # $A $"" (<<) / #%8 # &* / $# ( x) #! A #%8 # & "$# & # (x D) $" 8 / # 8#- " / $A E " # ‡ , % " " = 8 ? &*E# " 8- & / x D. >/ $# #$ $# # % # &* >8 8- >8 % 8 $& # % &* #%8 # , > " " #- # 8 C "$& # > $% & / 8 > $#? , $# $ " # #%-% A ?8 #, #% / $#% # &*- " # # A " # # D .

" " # " " $#? , " #"$&*%- " $# #$ ! "# # ? A x [1].

8 *E # 8 # TI " & # ? A I0 " = " & " % " Ÿ $& # $# 8 #" # , >/ ? "$# $>- E # x % # I? — % # ? A #8 !- "# # . C!!# # ˆ = I?/I0 ! "# # & " A& >8 $8 8 A &A # 8 .

&* " * " " A << $# C 8 $& " $ > #@:

TI = {ln[ˆ/(ˆ – 1 + Œ?)] + Ž},

A Œ? — "# &* $A E " * " # 8 8 > &@- # ! "# # ; ¢ — $" 8 # x; = Œ? /‡ .

#? &*E#/ $# " C!! # " # # # " $8 ?&@ " $# #%8 ## ˆ 1,1 2. # % # ˆ# = 2 -=Ÿ # 8, $# ? &*E# % # ˆ $#&* >/ >? $ - & # &* " # 8 # ! "# # $# # #%8 #@ % $A E " # Œ?. % TI $%> , 8# #8 &* 8 " &- # ? A " " "& @ # #8 ! "# #% $" 8 / # 8# " / $A E " #, $# 8 Œ? = ‡ .

#8 ? % 8, &* $& # 8 8 8 # #8 !- "# # $ & #@ = A "#A & << x % A I0, ? "$# 8# #8 &* @ &* " * $A $"" .

0 +

1.!€ B.C. > # " " #%8 # $8 C& # " #$/ $" 8 . – D 8 : D 8 . A ". . -, 2004. – 120 ".

2.0+ *‚ . ., & f. % 8 & A# " # #" # 8#- 88 & # A " # # "#& > "! 8 / " . C A. #- ( ). ., 2010. 66 ". $. ' 20.10.10 R 604-'2010.

94

. . " , ".; . .#. , . . ., . (57 8$ 8 " 7$, 2. " )

&* % > # " / #A @ &* $# - 8 #% ## & A# " # $"" ( <) 8 A# "& $8>E- & " #. & #%8 # # " / $#8 @ " % > 8- > # $#? > ($ $& > , A# " # " # , 8# " # , 8 " > , 8# " # , " # " # , # #%$> # A# ). ' %8 " # $#- 8 # C # 8 $& @ " & A# " #8# ? # 8# < ( #$% , " *, % > ? %$" " * # .) # # 8 # ! 8- # > @=# $8 " > ( & # , $& " *, % " *, C&-$" * # " # # . .) [1].

" ?>/ # " >%> @ 8 >, % @=# E #% "- >/ 8 " / 8 , " >/ % ## #C& # " # " /" 8 / # " # # % E / # $% E / " > $" *@. # & 8 " > "$" ?> $% > $ " / " # & ? > " #C& # " #8# # " 8#, "& " C&$/ " / " % % # 8$& " $?& 8, ? "&- & > ? #8 " *@ " # # $#8 " # [2].

' & $" & % 8 & A# " # #" # #%- " > 8 " > 8 , # % ? A 8# " /- " & #%8 # # " / [3], $% & @=#/ " * $">, " % > " "8 / " " # #$ # " # (8# &* > 8 "& , !$> # .) # & ? # 8# 8$>. < & # &* >/ C!! " #A " #"$&*% # 8 " A # #C& # " / $# 8 " # 8 / # " # # &* A $# #$ % ## # && &* A #%8 # &* A $#? .

0 +

1.A * : "$ $" ?# / '. . •$, .D. < = , . . E #

#. { "">: U 8 - # , 2008. – 1072 ".

2.$) # # / '. . •$, . . # , .'. U %#& # . { "- ">: U 8 – # , 2010. – 152 ".

3.' . 1 ~ 2407993, 27.12.2010. 8 " / "$" ? #%8 # #- " / # " /" & A " = " & # / . . # , . . "$.

95

. . , .; . .#. , . " ". (#$ « % »)

F #%8 # " > $8 # " " 8 A# ?&- " # #. > #%8 # " > ? @ " , $#8 , ?& " # & " C& C A##, A " A& " D 13109 # D 8.655, ? # " "#A & " $> $%# # .

' 8 / " *# ""8 > # #? & $ $& > 8 #%8 # " >: "& # # $" #/ & , $# &* A # A # # "#A & # " A "$&* 8 % .

"& # # $" # & [1] " $#" # & 8 # 8 8 $& >8# $" # 8# "#A & 8 &- A % # . " # " : >" " *, $" % ## # 8- & " # &* " * E 8 8. " #: " # &* " * >"- " >8 A 8 # 8 # ? #8 " * #" &@ # # $" / " " & @= /.

$# &* A # A # # [2] " $#" #- & 8 #, 8 8 $" # 8# # A & "#A & % $ $& A % # . " # " : 8 & # >" "- > A 8 # >/ % &* # " # &* " * #@ $" / " " & @= /. " #: " # &* " * "& / >8 E 8 8 # >" " # &* " * !-C!! .

& % ## 8 , " A "$&* 8 % ?- #8 >$& * $? % # M * ? " #" A "#A- & # $#% " # 8 8 # " @ ? ? % &* . " # " : >" " * $# ? " $A 8 # " #8# # % E 8& >8# "#A & 8# # " # &* " * #@ $" / " " & @= /. " # "# &* @ "& " * % ## # ? #8 " * - # > $ $& A 8 / " #""& 8 A "#A & .

0 +

1.BegovicM.,DjuricP., DunlapS., PhadkeA. Frequency tracking in power networks in the presence of harmonics // IEEE Transactions on Power Delivery. 1993. Vol. 8. R2. P. 480—486.

2.' . ., @+$ . . D$" ? #%8 # $# C& # " # "#A- & " $" / " " & @= / # "# " # &* / ! 8 / # / // %8 #- &* # . 1998. R7. D. 34—39.

96

. .4 , .; . . . : , . . ., . (#$ « % »)

? $" = % ? 8 $# / # A & ## & " # " # " # #% ? #/ # #$"& &* " /.

&* " * ? > $& " $? " 8# " 8 > &- 88 # # > "#" 8 C!! # > &A # 8 " # .

" * " ? " # #% ? # $# " ## # #$ $> % ? * &A # 8, $#% =#/ " A8 #@ "$# / " # [1]. < # % " # A # 8 #% ? # $% & " * % > > ! ## , 8 & E " " # " #"- $&*% # 8 A &* > ! # &* > $? % #/.

" / $& A 8 A &A # 8 # A & ## & " &A # 8 $#" A # . #% $" & A 8 % &@ " " ## $#" A # #% ? ## " $" # 8 " #. ' 8 "& "- "8 # 8>/ &A # 8 $% & $" # * $& # 8 " - % A # " % / A &* / " #.

< & A " &A # 8 $#" A # , & @=#/" >8 % #- # 8 # / &A # 8 C # [2]. $#"> 8 % # $% & " #- %# * #"& & > " ? > #/ " # > ?& " % " "& # 8 #%8 $# &* / ? ? #.

D$" * $" & > 8 $% & = 8 C$ #"- "& #/ $& # * & " # " # " # #% ? #/ % &* >, " #8> " #" # 8# ? > &A # 8 JPEG.

" %%* 12-07-00762.

0 +

1. Ding W. Adaptive Directional Lifting-Based Wavelet Transform for Image Coding// IEEE Transactions on Image Processing. 2007. V.16. R 2. . 416-427

2. Vezien J.M. A Computational Approach to Edge Detection// http://perso.limsi.fr/Individu/vezien/PAPIERS_ACS/canny1986.pdf

97

/. . , .; . . . / " , . . ., . (/7%$, 2. / 3 )

! -

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

0 +

1.( ! & . . & ? # . — .: 8# U ',

2003.

2.(+ ) '. . 8 #% # !#%# " # #""& #/ # C "$#8 : 8$*@ > #%8 # # # &* > $#? > " LabVIEW 7. .: < "", 2005.

98

.'. 1 , ".; . .*. < , . . ., . ( 7%$, 2. )

{#"& E # & A ! > #/ 8 8 8 &* / - 8$%# ## " / ?& " # $% & / # "* ? $8 & > & / " / " " & @= /. $# C 8$" & " %8 >8 $ *, / $8 #% C A ? " #8 & >8 & 8 " "# " . ? #8 >" * # $#8- # * # #/, $% & @=#/ $#% " # " " # .

' " A # # 8 >"$* $ $& # , $# ""8 ## ? E #/ & " " # " > " " & @- =# " 88 "" # ( 8$& " / $& " " #) 8 "- " @=#8# C& 8 8# A ? ? 8# #8 &* >8 E* $# & = / " # . & $& # / " # # ? #8 $? * " %8 > 8?# ## $" # C& 8 ? / " / " " & @= /. ' n-$/ "#" 8 ? n! # 8?# #/. D 8 " # ? #8 $#8 # * " 8 "$ # # .

' & > &> 8 A " &* % $" * A A 8- $& " / $& " " #. C # " ? " / ? >? " 8 & A E A $ " . 8 *E # E A $ " $# # % #- &* 8 #@ 8 # " , " # * , , 8 $8 "$&& # E 8 / % #.

& C A "* 8 ""# " > " " & @=# 8 "#8 &* - 8 % & " #$% >. " # #$% "- " " #"$& # & / (! # " #, x< ). >/ #"$&- # &* E % 8 &* / 8$%# ## # >$& %? &- > E #/ $& A 8 #$% " > " "- & @=# . < "& A " #"$& # % # " , " % &*- > " ?O # @ " . < # C 8 "& # > * ! , $ -" # # & > & 8 8 *" #$% #$ - % . ? $& # &* A $"& &* A %? E #/A # #$% #, $# ? #8 " #, $" # $ "- # # & > & # #$% .

< " & >/ / ? $* E # % # %? &- > & $%> >" @ C!! # " * & "& - "$# / "#88 # / ##.

99

.'. 5 , .; . . . < " ! , . . ., . . . (#$ « % »)

,

D # 8 # 8# " # #%8 #/ ( ), % #"#8 " # - " " Ÿ , >? > & $& # # #%8 8 / !#%#- " / # > (M'), # "#8$> $A $"" (<<) #%- 8 # &* / $# ( x), % @ 8 >, " > :

98 #%8 ##, > #"$&*% @ #%8 # M'$&Ÿ >/ 8 8 8 #, " " * #%8 # C / # > - >/ 8 8 # % # $" / 8 # x (<' x);

9#%8 ## M' $"& &* > 8 8 8 # " Ÿ 8 #% " A #%8 # $/ #" # # x 8 C #8# - 8#. < ? >8 ? % 8 "" # > " $ #$8 &A # 8 ? A #! A $? % # $A $ [1];

9#%8 ## M' # " =# 8 8 [2].

> #"$&*% @ " 8 8 ##, A 8$ " > $ - & " $ $8 $"" " #% " / <' x [2]. 8 > "- # $% #/ A # > " #% "& # 8 > A & >/ $&- / #8, " — $" #8>8 8 8 #%8 #/ #% "& # - $" 8 A A # . C #8# 8 8 8# 8$ #-#%8 " 8 # $ C "$# &* 8 % .

" 8 $> 8 8 8 ## " # " ? #- 8 " * $# &* A % # <' x. # $# / # ! 8 ## <' x ? 8 , " >/ #"$&*% ## $/ # / $#% > <<. &A # 8 % " / ! 8 ?>& #""& - ? [3]. "#8$# " % # # " % # $A " Ÿ , $> # @ % " # Ÿ " " # - " =# " Ÿ .

% 8 $% & / # ?= @ % 8 " * # $ - " ##, $Ÿ8 #"$&*% # $$"#8 ## $#% > " $8 =*@ E # > % " /. #8 ? % 8, Ÿ > &A # 8>% #"#8 ! 8> # %$#"# %> @ " C # & >8#.

0 +

1.! . . &A # 8> #"& A #!! # # % $ - & # . – .: % &*" #/ 8 , 2009. – 144 ".

2.. ., ! }. ., C # . ., } )/ . . " * - > 8 #%8 # 8$>. – .: %- " . 1976. 232 ".

3.!#$* & 8 " E " # # 8# " # #" # #! > 8 8 " 8#$"" >8 $& # 8 / '. . " #/, '. . < !#& , .'. #$ # . // D?. . . 1987. R 151. D. 5—13.

100