Image Degradation and Restoration Model
Transcript of Image Degradation and Restoration Model
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Bncoj Treajssbgo .Mjorcmctbeg Cgm
Vjsetrctbeg Nemjh
Tb32=4=
Ljfrucry 1 6431
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Aegtjgts
Aegtjgts
B n c o j T r e a j s s b g o . M j o r c m c t b e g C g m V j s e t r c t b e g N e m j h 1
4'3 Bgtremuatbeg ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' '1
4'6 Mjorcmctbeg Nemjh ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' '1
4'1 Vjsterctbeg Nemjh ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' '=
4'= Qenj Zsjluh Cgchysbs ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' '=
4'='3 Vcgmen Treajss Tcssbgo ]`reuo` H]B systjn ' ' ' '=
4'='6 Lrjqujgay mencbg mjsarbptbeg el Vcgmen preajss ' :4'='1 Vjhctbeg fjtwjjg bgput cgm eutput ' ' ' ' ' ' ' ' ' '
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Bncoj Treajssbgo . Mjorcmctbeg Cgm Vjsetrctbeg Nemjh
Bncoj Treajssbgo . MjorcmctbegCgm Vjsetrctbeg Nemjh
4'3 BgtremuatbegBg t`j meaunjgt wj sjt up nemjh%lrcnjweri te mjsarbfj cgmrjprjsjgt `ew bncoj ugmjroejs mbstertbegs%mjorcmctbegs cgm `ew
te rjaevjr t`j erbobgch bncoj lren mjorcmjm bncoj'
4'6 Mjorcmctbeg Nemjh
Aegsbmjr cg bncojl ( x 9 y "
'Hjt t`j bncoj ugmjroe senj mjorcmctbeg'cgm rjsuhtcgt bncoj fj mjsarbfjm fy
o ( x 9 y "
'
]`j mjorcmctbeg ncy fj el lern el netbeg fhurrbgoeut el leauseptbas hbo`t sacttjrbgo jta'
]`j Mjorcmctbeg preajss bs nemjhhjm hbgjcr lbhtjr `( x 9 y "
cgm `( x 9 y "
acg fj achhjm cs mjorcmctbeg lbhtjr%epjrcter'
Gebsj bs nemjhhjm cs cmmbtbvj gebsj cgm bs cmmjm te eutput elmjorcmctbeg lbhtjr'
Gebsj aeuhm chse `cvj fjjg cmmjm ct t`j bgput el mjorcmctbeglbhtjr ' Qbgaj wj crj weribgo wbt` hbgjcr lbhtjr t`j gebsj tjrn wbhhfj cmmbtbvj ct t`j eutput el t`j lbhtjr'
Gebsj bs nemjhhjm cs scnphj lugatbeg el rcgmen preajss' Ct t`jeutput el t`j lbhtjr gebsj preajss ncbgtcbgs bts lern '
]`us gebsj bg mbrjathy bgahumjm ct t`j eutput el t`j mjormc.tbeg lbhtjr'
]`j mjorcmjm cgm gebsy bncoj bs rjprjsjgtjm fyo ( x 9 y "
'
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Bncoj Treajssbgo . Mjorcmctbeg Cgm Vjsetrctbeg Nemjh
4'1 Vjsterctbeg Nemjh]`j efkjatbvj bs te lbgm t`j jstbnctj el erobgch bncoj
l ( x 9 y "
' ]`bsbs mjgetjm fy
l r ( x 9 y "'
]`j mjorcmjm bncojo ( x 9 y "
bs pcssjm t`reuo` t`j rjsterctbeg lbhtjrh ( x 9 y "
w`ba` premuajs t`j jstbnctj el erbobgch sbogchl r ( x 9 y "
'
]`j rjsterctbeg lbhtjr bs mjsbogjm fcsjm eg t`j igewhjmoj cfeutt`j mjorcmctbeg nemjh cgm gebsj nemjh'
]`j jrrer bg jstbnctbeg wbhh fj rjmuajm t`j nerj caaurctjhy wjigew cfeut t`j mjorcmctbeg cgm gebsj er bl cssunjm mjorcmctbeg
cgm gebsj nemjh lbts t`j catuch sajgcrbe fjttjr'
(c" Mjorctbeg cgm Vjsterctbeg Nemjh
4'= Qenj Zsjluh Cgchysbs
4'='3 Vcgmen Treajss Tcssbgo ]`reuo` H]B systjn
Aegsbmjr c H]B lbhtjr` ( t "
'Hjt bgput el H]B systjn fj nemjhhjm cs
_bmj sjgsj.stctbegcry stea`cstba preajss P(t"'_QQ preajss bs aenphjtjhy a`crcatjrbzjm fy bts njcg cgm cute.aerrjhctbegs lugatbeg'
Hjt P(t" fj c wbmj sjgsj stctbegcry preajss cpphbjm ct t`j bgputel H]B lbhtjr'
]`j njcg el preajss P(t" bs mjlbgjm cs jxpjatctbeg el rcgmen
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Bncoj Treajssbgo . Mjorcmctbeg Cgm Vjsetrctbeg Nemjh
vcrbcfhj eftcbgjm fy efsjrvbgo t`j preajss ct senj tbnj ]'
x
( t " > J Y P ( t " ^
]`j Cute.aerrjhctbeg lugatbeg el rcgmen preajssP ( t "
bs mjlbgjm csjxpjatctbeg el premuat el rcgmen vcrbcfhjsP ( t
3
"
P ( t
6
"eftcbgjm fy
efsjrvbgo t`j rcgmen preajss ct tbnjst
3
cgmt
6
cgm mjpjgms eghyeg t`j tbnj mblljrjgaj fjtwjjg efsjrvctbeg tbnjs
t
3
cgmt
6
V
x
( t
3
9 t
6
" > J Y P ( t
3
" P ( t
6
" ^ > V
x
( t
3
t
6
"
Hjt t`j rcgmen preajss bs trcgsnbttjm t`reuo` H]B lbhtjr' ]`jeutput R(t" bs oevjrgjm fy aegvehutbeg epjrctbegs'
]`j eutput el H]B lbhtjr bs obvjg fy
R ( t " >
[
` ( " P ( t " m t
]`j eutputR ( t "
bs chse c _QQ rcgmen preajss a`crcatjrbzjm fy btsnjcg cgm cuteaerrjhctbeg'
]`j njcg cgm cute.aerrjhctbeg elR ( t "
bs rjhctjm teP ( t "
y
( t " >
x
@ ( 4 "
w`jrj@ ( 4 "
bs t`j zjre lrjqujgay MA rjspegsj el t`j systjn'
]`j njcg el rcgmen preajssR ( t "
premuajm ct t`j eutput elH]B systjn bg rjspegsj te
P ( t "catbgo cs bgput preajss bs jquch te
t`j njcg elP ( t "
nuhtbphbjm fy t`j MA rjspegsj el t`j systjn'
]`j cuteaerrjhctbeg el t`j eutput preajss bs rjhctjm te bgput
preajss cs lehhews
V
y
( " >
[ [
` (
3
" ` (
6
" V
x
(
3
)
6
" m
3
m
6
4'='6 Lrjqujgay mencbg mjsarbptbeg el Vcgmen preajss
]`j lrjqujgay mencbg mjsarbptbeg el rcgmen preajss bs mjlbgjmusbgo pewjr spjatrch mjgsbty' Tewjr spjatrch mjgsbty bs mjlbgjm cst`j leurbjr trcgslern el cute.aerrjhctbeg lugatbeg'
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Bncoj Treajssbgo . Mjorcmctbeg Cgm Vjsetrctbeg Nemjh
Aegsbmjr t`j bgput rcgmen preajssP ( t "
HjtQ
x
( l "mjlbgj bts
TQM'
]`j bgput rcgmen preajss bs pcssjm t`reuo` c H]B lbhtjr']`j TQM elt`j eutput preajss bs rjhctjm te TQM el bgput preajss cs lehhews'
Q
y
( l " > k @ ( l " k
6
Q
x
( l "
4'='1 Vjhctbeg fjtwjjg bgput cgm eutput
Gew wj `cvj twe rcgmen preajssjsP ( t "
cgmR ( t "
' Vjhctbeg fjtwjjgt`j twe rcgmen preajss acg fj mjlbgjm usbgo aress aerrjhctbeg cgmaress.spjatrch mjgsbty'
V
x y
( t 9 u " > J Y P ( t " R ( u " ^
V
x y
( " > V
y x
( "
Bt bs t`j jxpjatjm vchujs el premuat el rcgmen vcrbcfhj P cgm R
efsjrvjm ct efsjrvctbeg tbnjs t cgm u'
Q
x y
( l " > Q
y x
( l " > Q
x y
( l "
Bl t`j stctbegcry rcgmen preajssjs crj ugaerrjhctjm t`jg aressaerrjhctbeg bs zjre'
4'='= Qenj Nerj Zsjluh cgchysbs
Q
o o
( w
x
9 w
y
" > k @ ( w
x
9 w
y
" k
6
Q
l l
( w
x
9 w
y
"
Q
l o
( w
x
9 w
y
" > @
( w
x
9 w
y
" Q
l l
( w
x
9 w
y
"
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Bncoj Treajssbgo . Mjorcmctbeg Cgm Vjsetrctbeg Nemjh
Q
o l
( w
x
9 w
y
" > @ ( w
x
9 w
y
" Q
l l
( w
x
9 w
y
"
Q
o o
( w
x
9 w
y
" > k @ ( w
x
9 w
y
" k
6
Q
l l
( w
x
9 w
y
" ) Q
g g
( w
x
9 w
y
"
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Fbfhbeorcp`y
Fbfhbeorcp`yY 3 ^ C m m b g o Q c h t c g m T j p p j r G e b s j t e B n c o j '
u r h
; ` t t p ; % % c g o j h k e ` g s y ' f h e o s p e t '
b g % 6 4 3 3 % 3 4 % c m m . s c h t . c g m . p j p p j r . g e b s j . t e . b n c o j ' ` t n h '
Y 6 ^ V c l c j h A ' O e g z c h j z c g m V b a ` c r m J ' _ e e m s ' M b o b t c h B n c o j T r e a j s s b g o ( 1 r m J m b t b e g " '
Z p p j r Q c m m h j V b v j r ( G K ( Z Q C ; T r j g t b a j . @ c h h ( B g a ' ( 6 4 4 < ' b s f g
; 4 3 1 3 < 0 ? 6 0 P '
Y 1 ^ Q b n e g @ c y i b g ' A e n n u g b a c t b e g Q y s t j n s ' : t ` ' _ b h j y T u f h b s ` b g o ( 6 4 4 2 ' b s f g
; 4 = ? 3 < 2 ? 2 4 ? (
2 ? 0 4 = ? 3 < 2 ? 2 4 2 '
Y = ^ G u n j r b a c h ] e u r e l Q b o g c h T r e a j s s b g o 'u r h
; ` t t p ; % % w w w ' n c t ` w e r i s ' b g %
n c t h c f a j g t r c h % l b h j j x a ` c g o j % 2 : : = . c . g u n j r b a c h . t e u r . e l . s b o g c h .
p r e a j s s b g o '
Y : ^ _ b i b p j m b c 'u r h
; ` t t p ; % % j g ' w b i b p j m b c ' e r o % w b i b % B n c o j U g e b s j '
0 | 0
http://en.wikipedia.org/wiki/Image_noisehttp://www.mathworks.in/matlabcentral/fileexchange/9554-a-numerical-tour-of-signal-processinghttp://www.mathworks.in/matlabcentral/fileexchange/9554-a-numerical-tour-of-signal-processinghttp://www.mathworks.in/matlabcentral/fileexchange/9554-a-numerical-tour-of-signal-processinghttp://angeljohnsy.blogspot.in/2011/10/add-salt-and-pepper-noise-to-image.htmlhttp://angeljohnsy.blogspot.in/2011/10/add-salt-and-pepper-noise-to-image.html