http://sntbul.bmstu.ru/doc/586612.html УДК 57.087, 004.93

!"# 57.087, 004.93
$%&'%()*+%,%-%.*/01)2),%32)'/*4%,)(1%'5671/8,379+):/*)0,1%,/&)('%671/8;
.'7.%'%*)0,+')0/
!"#$"%&#"'( !)*)+ !"#$%&"
'()%$*( «+%$,'--"%.&,/%!',%0,&)-*1(2,-&&3%0"%.&-4-5,,»
6-!!,7809:;::;805<0+-!'=(80+>?@0,1<0A<B<0C(#1(&(
,-$(."' *./., !"#$%&"
'()%$*( «+%$,'--"%.&,/%!',%0,&)-*1(2,-&&3%0"%.&-4-5,,»
6-!!,7809:;::;805<0+-!'=(80+>?@0,1<0A<B<0C(#1(&(
A(#/&3D0*#'-=-$,"%4EF0G(1-*-$-= H<I<, '<"<&<80$-2%&"
6-!!,7809:;::;805<0+-!'=(80+>?@0,1<0A<B<0C(#1(&(
A(#/&3D0'-&!#4E"(&"F0H*"J.-=( K<H., (!!,!"%&"
6-!!,7809:;::;805<0+-!'=(80+>?@0,1<0A<B<0C(#1(&(
pvi@bmstu.ru
!"#$#%&'(#)* +$+"#,* (-./#* 0/"0&1'0* $&.12&3"&3.)* %+'145* 6#+7$.'1#(#*
,+8."&/+$#)* /* './-&3&$$.)* 3&6#9#$&:* ;+$$<)* +$+"#,* =.,/."0&1* /<0/#14* $+"#%#&*
.1(".$&$#)* .'$./$<>* =.(+,+1&"&)* (-./#* .1* $.-3+"4$<>* ,$+%&$#)?* '.=.'1+/"&$#&*
(.1.-<>*'*("#$#%&'(.)*(+-1#$.)*6+51*=-&6'1+/"&$#&*.*10@&'1#*,+8."&/+$#0:
A+@$<3 =.(+,+1&"&3 (-./#* 0/"0&1'0* "&)(.9#1+-$+0* B.-3C"+?* .1-+@+5D+0*
=-.9&$1$.&* '..1$.E&$#&* /#6./* "&)(.9#1./: ;"0 &&* .=-&6&"&$#0* /* $+'1.0D&&* /-&30*
'CD&'1/C&1* $&'(."4(.* 3&1.6#(?* =-&#3CD&'1/+* #* $&6.'1+1(#* F1#>* 3&1.6#(* .=#'+$<* /*G1].
H+#8."&&* =&-'=&(1#/$.)* #* -+,/#/+5D&)'0* 3&1.6#(.)* 0/"0&1'0* +/1.3+1#,#-./+$$<)*
3#(-.'(.=#%&'(#)* +$+"#,* G1I?* =.,/."05D#)* .9&$#14* 3.-B.".7#%&'(#&* .'.8&$$.'1#*
("&1.(*#*=-./&'1#*#>*("+''#B#(+9#5:*J$+"#,*=.*6+$$.)*3&1.6#(&*3.@&1*=-./.6#14'0*$+*
8."4E.)*/<8.-(&?*%1.*.8&'=&%#/+&1*1-&8C&3C5*'1+1#'1#%&'(C5*=.7-&E$.'14*G2].
J/1.3+1#,#-./+$$.&*.=-&6&"&$#&*"&)(.9#1+-$.)*B.-3C"<**=-&6=."+7+&1*-&E&$#&*
,+6+%* .8$+-C@&$#&* .8"+'1&)?* '.6&-@+D#>* "&)(.9#1<?* '&73&$1+9## .8$+-C@&$$<>*
"&)(.9#1./* #* ("+''#B#(+9##* G3, 4]. A* 6+$$.)* '1+14&* -+''3.1-&$. -&E&$#&* ,+6+%#*
.8$+-C@&$#0*"&)(.9#1./*$+*#,.8-+@&$#0>*=-&=+-+1./*(-./#.
K&-&6*
=-./&6&$#&3*
3#(-.'(.=#%&'(.7.*
#''"&6./+$#0*
=-&=+-+1<*
(-./#*
.(-+E#/+51'0* =.* 3&1.6C* L.3+$./'(.7.-M#3,<:* K.'"&* .(-+'(#* 06-+* "&)(.9#1./*
=-#.8-&1+51* B#."&1./<)* .11&$.(?* %1.* .1"#%+&1* #>* .1* B.$+ #* F-#1-#1./?* #3&5D#>*
@&"1./+1<)* #* -.,./+1.-8C-<)* .11&$(#:* N'.8&$$.'1# .(-+'(#* 3+,(./ =.,/."051* -&E#14
http://sntbul.bmstu.ru/doc/586612.html
,+6+%C .8$+-C@&$#0* "&)(.9#1./ $+* #,.8-+@&$#0>* =-&=+-+1./* (-./# =.* 9/&1./<3*
=-#,$+(+3.
N6$.)* #,* .'$./$<>* >+-+(1&-#'1#(* 9#B-./.7.* -+'1-./.7.* #,.8-+@&$#0* 0/"0&1'0*
9/&1:* ;"0* =&-&6+%#* 9/&1+* /* (.3=451&-$<>* '#'1&3+>* &3C* /* '..1/&1'1/#&* $&.8>.6#3.*
=.'1+/#14* (+(.&-"#8.* %#'"./.& ,$+%&$#&:* A* $+'1.0D&&* /-&30* 6"0* =-&6'1+/"&$#0* 9/&1+*
'CD&'1/C&1*$&'(."4(.*3.6&"&)?*(+@6+0*#,*(.1.-<>*#3&&1*'/.)*9/&1./.)*.>/+1 [5].
;"0* /<8.-+* 3.6&"#* =-&6'1+/"&$#0* 9/&1+* $+* #,.8-+@&$#0>* 3+,(./* (-./#?*
.8&'=&%#/+5D&)* -&E&$#&* ,+6+%#* .8$+-C@&$#0* "&)(.9#1./?* / -+8.1&* 8<".* =-./&6&$.*
'-+/$#1&"4$.&* #''"&6./+$#&* (+$+"./ '"&6C5D#>* 9/&1./<>* =-.'1-+$'1/: RGB, YCbCr,
YIQ, CMY, HSV, HSI, Lab (-#':1).
L#': 1. K."C1.$./<&*#,.8-+@&$#0 "&)(.9#1+*/*3+,(&*(-./# =.*(+$+"+3 -+,"#%$<>*9/&1./<>*
=-.'1-+$'1/
A* (+%&'1/&* (."#%&'1/&$$.)* >+-+(1&-#'1#(#* 6"0* '-+/$&$#0* 9/&1./<>* (+$+"./*
#'=."4,./+"+'4*/&-.01$.'14*.E#8(#*=.-.7./.)*("+''#B#(+9##*=#('&"&)?*=-#$+6"&@+D#>*
.8"+'1#*"&)(.9#1+*#*.8"+'1#*B.$+*$+*#,.8-+@&$#0>?*=.'1-.&$$<>*/*6+$$<>*(+$+"+>.
Q-+/$#1&"4$.&*#''"&6./+$#& =-./.6#".'4*$+*/<8.-(&*#,*STTT*#,.8-+@&$#)*=."&)*
,-&$#0?*,+-&7#'1-#-./+$$<>*'*C/&"#%&$#03#*3#(-..82&(1#/+*3#(-.'(.=+ 40x #*STTx. ;"0*
$+>.@6&$#0* /&-.01$.'1#* .E#8(#* =.-.7./.)* ("+''#B#(+9##* '1-.#"#'4* 7#'1.7-+33<*
,$+%&$#)* (+@6.)* -+''3+1-#/+&3.)* 9/&1./.)* (..-6#$+1<* 6"0* -+,3&%&$$<>* /-C%$C5*
O.".6&@$<)*$+C%$.-1&>$#%&'(#)*/&'1$#(*PQRR-51038
.8"+'1&)* "&)(.9#1./* #* B.$+* (-#': U+V: ;"0* .=-&6&"&$#0 -+/$./&-.01$.)* .E#8(#*
("+''#B#(+9## =#('&"&)*#,.8-+@&$#0*=.*=.'1-.&$$<3*7#'1.7-+33+3*8<"#*#'=."4,./+$<*
(C3C"01#/$<&*(-#/<&*W-#': U8V:*;"0*7#'1.7-+33<?*-+'=.".@&$$.)*=-+/&&?*'C33#-./+$#&
=-./.6#1'0* '"&/+* $+=-+/.?* 6"0* 7#'1.7-+33<* "&/&&*– 'C33#-./+$#&* '=-+/+* $+"&/.:* X.%(+*
=&-&'&%&$#0 =."C%&$$<>* (-#/<>* '..1/&1'1/C&1* -+/$./&-.01$.)* .E#8(& ("+''#B#(+9##*
=#('&"&).
L#': 2. Y''"&6./+$#&*9/&1./<>*(+$+"./*$+*=-#3&-&*(+$+"+*Q 9/&1./.)*'>&3<*Z[Q:
+V 7#'1.7-+33<*=.*(+$+"C*Q; 8V (C3C"01#/$<&*(-#/<&*=.*(+$+"C*\
K.*-&,C"41+1+3*=-./&6&$$.7.*#''"&6./+$#0*C'1+$./"&$.?*%1.*/&-.01$.'1#*.E#8(#*
("+''#B#(+9##* 3&$&&* S] % #3&51* '"&6C5D#&* (+$+"<^* (+$+"* _* WSaturationV* '>&3* HSI #*
HSV?*(+$+"<*`*#*a*'>&3<*b`a?*(+$+"*\*WQuadratureV*'>&3<*YIQ.
A*,+/#'#3.'1#*.1*(+%&'1/+ .(-+'(#*3+,(+?*.'/&D&$#0*#*$+'1-.&(*9#B-./.)*(+3&-<*
=.".@&$#& 1.%(#* =&-&'&%&$#0* (C3C"01#/$<>* (-#/<>* /+-4#-C&1'0 (+(* .1* 3+,(+* (* 3+,(C?*
1+(*# /*=-.9&''&*#''"&6./+$#0*.6$.7.*3+,(+:
;"0* .=-&6&"&$#0* (+$+"+?* $+#3&$&&* %C/'1/#1&"4$.7.* (* #,3&$&$#03* /$&E$#>*
B+(1.-./?* 8<".* =-./&6&$.* #''"&6./+$#&* #,3&$&$#0
=.-.7+?* '..1/&1'1/C5D&7.*
-+/$./&-.01$.)* .E#8(&* ("+''#B#(+9##* =#('&"&), $+* -+,"#%$<>* 3+,(+>* (-./#* 6"0*
.1.8-+$$<>*-+$&&*(+$+"./:*A*#''"&6./+$##*C%+'1/./+"#*#,.8-+@&$#0*'&3#*3+,(./*(-./#*
=.* R]* #,.8-+@&$#)* $+* (+@6.3* C/&"#%&$##: N'$./$.) (-#1&-#) /<8.-+* (+$+"+* –
3#$#3+"4$<)* -+,8-.'* ,$+%&$#)* =.-.7./* /* -+3(+>* .6$.7.* =-&=+-+1+* (-./#* =-#* C'"./##*
3+"<>* (."&8+$#)* 0-(.'1$<>* >+-+(1&-#'1#(* #,.8-+@&$#): Y''"&6./+$#0* =-./.6#"#'4 $+*
#,.8-+@&$#0>* =-&=+-+1./* (-./#* '* /<6&"&$$<3#* /-C%$C5* .8"+'103#?* '.6&-@+D#3#*
"&)(.9#1<:
http://sntbul.bmstu.ru/doc/586612.html
H+#"C%E#&* -&,C"41+1<* 8<"#* =."C%&$<* 6"0* (/+6-+1C-$.7.* (+$+"+* 9/&1./.7.*
=-.'1-+$'1/+*Z[\?*6"0*6+$$.7.*(+$+"+*8<"*-+,-+8.1+$*+6+=1#/$<)*+"7.-#13*.8$+-C@&$#0*
"&)(.9#1./*$+*#,.8-+@&$#0>*=-&=+-+1./*(-./#:
L+$&&?*6"0*9&"&)*#''"&6./+$#0?*-+''3+1-#/+"#'4*7#'1.7-+33<*#,.8-+@&$#)*=."&)*
,-&$#0?* '.6&-@+D#> "&)(.9#1<:* A* =-.9&''&* +/1.3+1#,#-./+$$.7.* 3#(-.'(.=#%&'(.7.*
#''"&6./+$#0* $&.8>.6#3.* +$+"#,#-./+14* #,.8-+@&$#0* =-&=+-+1./* (-./#?* $+* (.1.-<>*
"&)(.9#1<* 3.7C1* .1'C1'1/./+14:* L+,"#%#0
3&@6C* 7#'1.7-+33.)* #,.8-+@&$#0?*
'.6&-@+D&7.* "&)(.9#1<?* #* 7#'1.7-+33.)* #,.8-+@&$#0* 8&,* "&)(.9#1./* =-#/&6&$<* $+*
-#': c?*6"0*C6.8'1/+*7#'1.7-+33<*$.-3#-./+$<*$+*3+('#3+"4$.&*,$+%&$#&:
L#': 3:*A#6<*7#'1.7-+33*#,.8-+@&$#)*=."&)*,-&$#0^*+V '*"&)(.9#1+3#; 8V 8&, "&)(.9#1./
d%#1</+0* /.,3.@$.'14* #,3&$&$#0* /#6+* 7#'1.7-+33<* /* ,+/#'#3.'1#* .1* (+%&'1/+*
.(-+'(# 3+,(+ #*.'/&D&$$.'1#*=."0*,-&$#0*/*3.3&$1*-&7#'1-+9##?*8<"#*'B.-3C"#-./+$<
'"&6C5D#&*1-&8./+$#0 (*+"7.-#13C*.8$+-C@&$#0*"&)(.9#1./:
! +"7.-#13*$&*6."@&$*,+/#'&14*.1*+8'."51$<>*/&"#%#$ #$1&$'#/$.'1#*=#('&"&)*
#,.8-+@&$#0;
! 6"0* (+@6.7.* #,.8-+@&$#0* 6."@&$* .=-&6&"014'0* '/.)* =.-.7* .8$+-C@&$#0*
"&)(.9#1./e
! +"7.-#13* 6."@&$ =-+/#"4$.* #$1&-=-&1#-./+14* #,.8-+@&$#0?* $+* (.1.-<>*
"&)(.9#1<*.1'C1'1/C51;
! /-&30* .8$+-C@&$#0* "&)(.9#1./* $+* .6$.3* #,.8-+@&$##* 6."@$.* ,+$#3+14* $&*
8."&&* S '&(:?* =.'(."4(C* 6+"&&* '"&6C51* 6.'1+1.%$.* =-.6."@#1&"4$<&* =.*
/-&3&$#* F1+=<* '&73&$1+9##* #* ("+''#B#(+9##:* f1.* .,$+%+&1?* %1.* +"7.-#13*
6."@&$*8<14*3+('#3+"4$.*=-.'1*#*$&*6."@&$*'.6&-@+14*.=&-+9#)?*1-&8C5D#>*
8."4E#>*/-&3&$$<>*,+1-+1:
O.".6&@$<)*$+C%$.-1&>$#%&'(#)*/&'1$#(*PQRR-51038
L&+"#,+9#0* +6+=1#/$.7.* +"7.-#13+?* C%#1</+5D&7.* C(+,+$$<&* 1-&8./+$#0?*
=-&6=."+7+&1*1-#*F1+=+^*=&-/<)*– .=-&6&"&$#&*.=.-$.)*1.%(#*7#'1.7-+33< #,.8-+@&$#0*
/*/<8-+$$.3*9/&1./.3*(+$+"&*WQ)e*/1.-.)*– .=-&6&"&$#&*=.-.7+*.8$+-C@&$#0*"&)(.9#1./
#* =.'1-.&$#&* 8#$+-$.)* 3+'(#* #,.8-+@&$#0?* 1-&1#)* – 3.-B.".7#%&'(#)* +$+"#,*
=."C%&$$.)* 3+'(#* #* /<6&"&$#&* .8"+'1&)?* '.6&-@+D#>* "&)(.9#1<:* g'"#* #,.8-+@&$#&* $&*
'.6&-@#1*"&)(.9#1./?*+$+"#,*=-&(-+D+&1'0*=.'"&*/1.-.7.*F1+=+:
N=.-$+0* 1.%(+* $+>.6#1'0* =.* $.-3#-./+$$.)* $+* 3+('#3+"4$.&* ,$+%&$#&*
7#'1.7-+33&* #,.8-+@&$#0
#* .=-&6&"0&1'0* (+(* =&-/+0* 1.%(+
$+* '=+6&* =#(+?*
'..1/&1'1/C5D&7.* F-#1-.9#1+3?* #3&5D+0* ,$+%&$#&* 3&$4E&* T,2 .1* 3+('#3+"4$.7.*
,$+%&$#0* 7#'1.7-+33<* W-#': h+V: ;+"&&* =.#'(* =.-.7+* .8$+-C@&$#0* /&6&1'0* =.* .1-&,(C*
=&-/.)* =-.#,/.6$.)* 7#'1.7-+33<?* "&@+D&3C =-+/&&* $+)6&$$.)* .=.-$.)* 1.%(# W-#': h8V.
K.-.7.3* .8$+-C@&$#0* '%#1+&1'0* =&-/.&* ,$+%&$#&* =.* (+$+"C* \?* (.1.-.3C* '..1/&1'1/C&1*
'(.-.'14* #,3&$&$#0* 7#'1.7-+33<* -+/$+0* -0,001, 1:&:* '(.-.'14* =-#8"#,#1&"4$.* -+/$+0*
$C"5:
L#': 4:*N=-&6&"&$#&*=.-.7+*.8$+-C@&$#0*"&)(.9#1./*6"0*(+$+"+*\*9/&1./.)*'>&3<*Z[\^
+V 7#'1.7-+33+*#,.8-+@&$#0*=.*(+$+"C*\e 8V =&-/+0*=-.#,/.6$+0*7#'1.7-+33<*=.*(+$+"C*\e
i*– .=.-$+0*1.%(+ 7#'1.7-+33<; j*– =.-.7*.8$+-C@&$#0
K.'1-.&$#&* 8#$+-$.)* 3+'(#* #,.8-+@&$#0* /<=."$0&1'0* =.* '"&6C5D&3C* =-+/#"C^*
=#('&"03* '.* ,$+%&$#&3?* =-&/<E+5D#3 =.-.7./.&? =-#'/+#/+&1'0* ".7#%&'(+0* &6#$#9+
W8&"<&* =#('&"#V?* 3&$4E&* =.-.7+* .8$+-C@&$#0* – ".7#%&'(#)* $."4 W%&-$<&* =#('&"#V.
K."C%&$$+0* 3+'(+* 0/"0&1'0* =&-/#%$.)?* 6+"&&* '* $&&* C6+"051'0* '/0,$<&* .8"+'1#?* $&*
=.=+6+5D#&* /* 6#+=+,.$* 6.=C'1#3<>* ,$+%&$#)* =".D+6#* "&)(.9#1+* W-#': 5). g'"#* $+*
-&,C"41#-C5D&)* 3+'(& $&* .'1+&1'0* '/0,$<>* .8"+'1&)?* +$+"#,* =-&(-+D+&1'0?* #$+%&*
+"7.-#13*=&-&>.6#1*(*1-&14&3C*F1+=C*– 3.-B.".7#%&'(.3C +$+"#,C:
http://sntbul.bmstu.ru/doc/586612.html
L#': ]:*f1+=<*+$+"#,+ 3+'(#*#,.8-+@&$#0
k&"45* 3.-B.".7#%&'(.7.* +$+"#,+* 0/"0&1'0* .82&6#$&$#0* .8"+'1&)?* '.6&-@+D#>*
06-+* .6$.7.* "&)(.9#1+?* #* #'("5%&$#&* #,* +$+"#,+* $&(+%&'1/&$$<>* "&)(.9#1./:* ;"0*
-&E&$#0* F1#>* ,+6+%* .=-&6&"051'0* =.".@&$#0* '/0,$<>* .8"+'1&)e* 8"#,(.* -+'=.".@&$$<&*
.8"+'1#* .82&6#$051'0?* +* .8"+'1#?* 7-+$#%+D#&* '* (-+&3* #,.8-+@&$#0?* #* .8"+'1#* '*
'..1$.E&$#&3* '1.-.$?* /<>.60D#3* ,+* -+3(#* 6#+=+,.$+* .1* T?]* 6.* U?T?* #'("5%+51'0* #,*
-&,C"41+1./*.8$+-C@&$#0:
N=#'+$$<)* +6+=1#/$<)* +"7.-#13* .8$+-C@&$#0* "&)(.9#1./* -&+"#,./+$* /* '-&6&*
lmnbmo:* p<".* =-./&6&$.* 1&'1#-./+$#& +"7.-#13+* $+* /<8.-(&* #,* STTT* #,.8-+@&$#)
=."&)* ,-&$#0?* ,+-&7#'1-#-./+$$<>* '* C/&"#%&$#03#* 3#(-..82&(1#/+* 3#(-.'(.=+ 40> #*
100>?* .1"#%$<>* .1* #,.8-+@&$#)?* #'=."4,./+$$<>* -+$&& $+* F1+=&* #''"&6./+$#0* 9/&1./<>*
=-.'1-+$'1/: L&,C"41+1<*#''"&6./+$#0*=-#/&6&$<*/*1+8"#9&:
L&,C"41+1<*1&'1#-./+$#0*+6+=1#/$.7.*+"7.-#13+
d/&"#%&$#& 3#(-..82&(1#/+
40>
100>
q#'".*#,.8-+@&$#)*/*/<8.-(&?*E1:
500
500
A&-.01$.'14*.8$+-C@&$#0 "&)(.9#1./, %
99,9
98,9
A&-.01$.'14 =-.=C'(+ "&)(.9#1./, %
0,1
1,1
A&-.01$.'14*".@$.7. .8$+-C@&$#0*"&)(.9#1./, %
7,4
3,1
1-.38.9#1./?*r
2,1
0,2
F-#1-.9#1./?*r
0,0
0,7
=./-&@6&$$<>*"&)(.9#1./?*r
2,4
1,1
+-1&B+(1./?*r
2,9
1,1
/*1.3*%#'"& =.*=-#%#$&*.8$+-C@&$#0:
Q-&6$&&*/-&30*+$+"#,+ .6$.7.*#,.8-+@&$#0?*'
O.".6&@$<)*$+C%$.-1&>$#%&'(#)*/&'1$#(*PQRR-51038
0,35
Q-&6$&&* /-&30* +$+"#,+* .6$.7.* #,.8-+@&$#0* C6./"&1/.-0&1* /-&3&$$<3*
1-&8./+$#03?*=-&620/"0&3<3*(*,+6+%&*.8$+-C@&$#0*"&)(.9#1./:
A&-.01$.'14*=-.=C'(+* "&)(.9#1./*$&,$+%#1&"4$+*#*.8C'"./"&$+ 3.-B.".7#%&'(.)*
=.'1.8-+8.1(.): A* /&-.01$.'14* ".@$.7. .8$+-C@&$#0 "&)(.9#1./* /$.'#1* /("+6*
.8$+-C@&$#&*7-C==*1-.38.9#1./?*=".D+64*(.1.-<>*'./=+6+&1*'*=".D+645*"&)(.9#1./?*+*
1+(@&* .8$+-C@&$#&* B-+73&$1./ =./-&@6&$$<> "&)(.9#1./?* (.1.-<&* #'("5%+51'0* #,*
+$+"#,+* $+*'"&6C5D&3* =.'"&* .8$+-C@&$#0*F1+=&* '&73&$1+9##:* NE#8.%$.* .8$+-C@&$$<&*
+-1&B+(1<*.8C'"./"&$<*(+%&'1/.3*=-#7.1./"&$#0*3+,(./*#*=-&6'1+/"051*'.8.)?*7"+/$<3*
.8-+,.3?*(+="#*(-+'(#?*(.1.-<&*1+(@&*8C6C1*.1'&0$<*$+*F1+=&*'&73&$1+9##:
H+*.6$.3*#,*+$+"#,#-C&3<>*/*=-.9&''&*1&'1#-./+$#0*#,.8-+@&$##*8<"#*.E#8.%$.
.8$+-C@&$<* F-#1-.9#1<:* M#'1.7-+33+* F1.7.* #,.8-+@&$#0* =.* (+$+"C* \* 9/&1./.7.*
=-.'1-+$'1/+*Z[\*#*-&,C"41+1*-+8.1<*+"7.-#13+*=-&6'1+/"&$< $+*-#': s:*H+*7#'1.7-+33&*
.13&%&$+*.=.-$+0*1.%(+*#*=.-.7*.8$+-C@&$#0?*$+)6&$$<& 6"0*6+$$.7.*#,.8-+@&$#0:
L#': 6. L&,C"41+1*-+8.1<*+"7.-#13+*$+*#,.8-+@&$##?*,+-&7#'1-#-./+$$.3*$+*7-+$#9&*
3+,(+*(-./#^*+V*7#'1.7-+33+*#,.8-+@&$#0e*8V*#,.8-+@&$#&*'*/<6&"&$$<3#*.8"+'103#*
=-&6=.".@#1&"4$.7.*$+>.@6&$#0*"&)(.9#1+;
i*– .=.-$+0*1.%(+*7#'1.7-+33<e*j*– =.-.7*.8$+-C@&$#0
K-&6'1+/"&$$+0* 7#'1.7-+33+* #3&&1* 1-#* =#(+?* 9&$1-+"4$<)* =#(* '..1/&1'1/C&1*
F-#1-.9#1+3:*K.'(."4(C*#,.8-+@&$#&*8<".*,+-&7#'1-#-./+$.*$+*7-+$#9&*3+,(+*(-./#?*=#(*
F-#1-.9#1./*#3&&1*,$+%&$#& =.*.'#*.-6#$+1, ,$+%#1&"4$.*3&$4E&&*//.6#3.7. $+*=&-/.3*
F1+=&* +"7.-#13+ .=.-$.7.* ,$+%&$#0?* '.'1+/"05D&7.* UT r* .1* 3+('#3C3+* 7#'1.7-+33<:*
K.F1.3C*=.-.7*.8$+-C@&$#0*-+'=."+7+&1'0*$+*"&/.3*'=+6&*=#(+*F-#1-.9#1./:
http://sntbul.bmstu.ru/doc/586612.html
A.,$#(+5D+0*.E#8(+*/*-+8.1&*+"7.-#13+ $&*3.@&1*8<14*C'1-+$&$+*=C1&3*//&6&$#0*
3&$4E&7.* .=.-$.7.* ,$+%&$#0?* 1+(* (+(* /* 1+(.3* '"C%+&* /.,-+'1+&1* -#'(* =-.=C'(+*
"&)(.9#1./.
X+(#3* .8-+,.3, -+,-+8.1+$* #* =-.1&'1#-./+$* +6+=1#/$<)* +"7.-#13* .8$+-C@&$#0*
"&)(.9#1./* $+* #,.8-+@&$#0>* 3+,(./* (-./#?* .8&'=&%#/+5D#)* /<'.(#&* /&-.01$.'1$<&* #*
/-&3&$$<&* >+-+(1&-#'1#(#* #* /.,3.@$.'14* -+8.1<* '* #,.8-+@&$#03#* 3+,(./* (-./#?*
.1"#%+5D#3#'0* =.* '/.#3* 9/&1.0-(.'1$<3* >+-+(1&-#'1#(+3:* L+,/#1#&3* 6+$$.7.*
+"7.-#13+* 8C6&1* 0/"014'0* F1+=* =-&6/+-#1&"4$.)* .9&$(#* %#'"+* F-#1-.9#1./* $+*
#,.8-+@&$##* #* -+,-+8.1(+* 3.6#B#(+9##* +"7.-#13+* .8$+-C@&$#0* "&)(.9#1./* $+* (-+0>*
3+,(+:
<./=)+,3/*7'%*5'>
1. Q-+/$&$#&*
>+-+(1&-#'1#(*
3#(-.'(.=#%&'(#>*
=-.1.%$<>?*
+/1.3+1#%&'(#>*
3#(-.'(.=#%&'(#>*
3&1.6#(*
9#1.+$+"#,+
J:J: K+-=+-+?* J:O: K01$#9(#)?* p:t: Q.(."#$'(#)
/#,C+"4$<>*
/
#*
A:Q: O&6./<),
uu* !"#$#%&'(+0* "+8.-+1.-$+0*
6#+7$.'1#(+:*– 2008. – v12. – Q:cc-36.
2. Q+3.-.6./ J:A:* J/1.3+1#,+9#0* 3.-B.".7#%&'(.7.* +$+"#,+* 3&6#(.-8#.".7#%&'(#>*
=-&=+-+1./*uu*p#.3&6#9#$'(#&*1&>$.".7##*#*-+6#.F"&(1-.$#(+:*– 2003. – v9. – Q:1117.
3. w1+6&"43+$$ x:A:?* Q=#-#6.$./ Y:H:* O&1.6* .=-&6&"&$#0* B.-3C"<* 8&".)* (-./#*
// H+C(+*#*.8-+,./+$#&:*– 2012. – v10. – Q:UcS-240.
4. Q+3.-.6./ J:A:* J/1.3+1#,#-./+$$<)* 3.-B.".7#%&'(#)* +$+"#,* 9#1.".7#%&'(#>*
=-&=+-+1./*uu*p#.3&6#9#$'(#&*1&>$.".7##*#*-+6#.F"&(1-.$#(+. – 2009. – vST:*– Q:c]40.
5. w#BB3+$ P:;@: K+1.B#,#.".7#0*(-./#:*– QK8^*H&/'(#)*6#+"&(1? 2000. – 448 ':
6. k/&1./<&* 3.6&"#:* Q+3.C%#1&"4* =.* Adobe Photoshop 7.0. URL. http://www.fotosib.net
(6+1+*.8-+D&$#0^*ST:TU:UTSc).
7. p<(./ L:g:* J6+=1#/$<&* +"7.-#13<* .8$+-C@&$#0* .82&(1./* =.* 9/&1./<3* =-#,$+(+3* uu*
L+6#.1&>$#(+:*– 2012. – vR:*– Q:yR-103.
8. X&.-#0* /&-.01$.'1&)^* C%&8$#(* 6"0* /1C,./* u* J:A. K&%#$(#$?* N:Y: X&'(#$?*
M:O: k/&1(./+* #* 6-:e* =.6* -&6:* A:Q: t+-C8#$+:?* J:K: !-#D&$(.* – 4-&* #,6:* – O:^* OMXd*
#3: H:f: p+C3+$+?*UTTs:*– 455 ':
9. M.$'+"&' L:?*AC6' L:?*f66#$' Q:*k#B-./+0*.8-+8.1(+*#,.8-+@&$#)*/*'-&6&*MATLAB. –
O:^*X&>$.'B&-+?*UTTc:*– 616 ':
O.".6&@$<)*$+C%$.-1&>$#%&'(#)*/&'1$#(*PQRR-51038