L. Yaroslavsky. Selected Topics in Image Processing Part 1. Imaging transforms in digital computers
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1 L. Yolv. Selecte Topc Imge Poceg Pt. Imgg tom gtl compte Lecte. Covolto tegl gtl lte.. Imgg tom pcple o te cete epeetto Te cotec pcple te mtl coepoece pcple etwee coto gtl tomto. ( M mpto: gl cete epeetto tog t mplg { [ ( ] } ( ecotcto ( ( cto { [ ]} ( ( ( ( ( ( ( ( ( ( (.. Covolto tegl gtl covolto Covolto tegl: ( ( { } - cete PSF o te gtl lte Ovell PSF o te gtl lte: ovll ( [ ] ( ( ( Ovell Feq. Repoe o te gtl lte: H ( p ( ep[ ( p ] H ovll p CFR_ F p Φ Φ p SV ovll ovll ( p Coto eqec epoe o te gtl lte: CFR _ F( p ep( p ( ( ( ep( Φ Φ ep ( p ep p ( ( ( ep( p ( p c[ ( p ] ep[ ( ( p ] SV Teoem. Gve gl mplg ecotcto evce te me o gl mple ovell eqec epoe o te gtl lte p ( p ep CFR _ F p ( p completel eteme coecet { } o te gtl lte cete Feqec Repoe FR (SFT o te lte PSF: o t coto eqec epoe ( ep Teoem. Coecet o cete Feqec Repoe o te gtl lte e mple o t Coto Feqec Repoe CFR_F te wt mplg tevl Teoem 3 CFR_F o te gtl lte cete c-tepolte cto o t mple
2 L. Yolv. Selecte Topc Imge Poceg gtl gl gtl gl cetzto qtzto gtl gl tomto Recotcto o te coto gl Eqvlet coto tomto Coto pt gl Coto otpt gl Cotec mtl coepoece pcple etwee coto gtl gl tomto ect mgg: m me evce A wooct Alect üe owg te eltop etwee te lgt tto o oject mge ple (opte om R. Bcewell Two-meol mgg Petce Hll It. 995 Ojectve le Oject ( Imge Oject ple ( Imge ple ( ( ( PSF ( Scemtc gm o optc o potogpc TV cme
3 ect mgg ml gom Compo ee o ect Aot potoecepto (6% coe 94% o Hm ee
4 Tom mgg wve popgto Hge-Feel pcple. Pot pe cto o ee pce wve popgto ep Kco-Rleg- Sommeel tegl tom ep α e zoe ppomto: >> Feel tegl tom: α ep C. Hge (69-95 tc pct A. J. Feel ( Fec pct R R A ep R ( ep co ep θ Ipt ple Otpt ple θ
5 cete epeetto o covolto tegl gtl lte tt coepo to covolto tegl: [ ] [ ] [ ] Ame [ ] : Ovell coto PSF o te gtl lte: [ ] [ ]
6 ( ( ovll [ ] ( ( ( ( ( Ovell coto eqec epoe o gtl lte: H ( p ovll ( ep[ ( p ] ovll ( [ ] ( ( ( [ ] ( ep ( p ep ( [ ] [ ] ( ( ( ep ( p [ ( { [ p ]} ( ( ep p ep( ep [ ( p ] ep( p ep SV p CFR _ F p Φ p Φ [ ] ( ( p ( ep( p ep( ep( wee ( ( p Φ eqec epoe o te gl ecotcto evce: ( ( ep ( ep( Φ Φ eqec epoe o te gl mplg evce: ( p Φ ( ( ep( p ( p ep p CFR _ F coto eqec epoe o te gtl lte: SV CFR _ F ( p ep[ ( p ] ( p ep( p Flte pce-vce tem. Coto eqec epoe o te gtl lte: CFR _ F ( p ep( p Let cete gl mple let { } cete PSF { } o te gtl lte: Te e cete Foe Tom coecet o ( ep
7 CFR _ F ( p ep( p ( p ( ep ep ep ( p ep ep ( p ep ( p ( ( p ep ep p ( p [( ] p ep ep ( p gve: Selecto p ep _ CFR F p Flte pce-vce tem: [ ] [ ( ] ep p SV p ep p ep[ ( p ] [ ( p ] ep[ ( ( p ] p wee [ ] ( p ( p [ ( p ] ep[ ( ( p ] c c ( Sc(p*./(*(p*/ v Sc(p*K./(p*K ep( p.8.6 Sc.4. Sc / -:.:
8 PSFzeo(64 PSF(:5 FRep ep g lt(psf4.8.6 Sgl e { } omlze eqec Coto eqec epoe t mple (me ccle o gtl lte tt compte gl locl me ove 5/64 o gl ze CFR_F(p Φ ( ( Φ ( (-p SV(-p
9 ( Φ ( ( Φ ( p CFR ( p ep( p Be p lm SV lm c SV(-p Flte pce vce octe wt te tee o te me o gl mple We te me o gl mple te to t lte ecomg pce vt: ( p [ ( p ] δ ( p Ovell eqec epoe o gtl lte
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