toroidal gaussian filters for detection and extraction of ... - Google Sites

0 downloads 146 Views 249KB Size Report
Screening mammography, which is x4ray imaging of the breast, is ... of quadrature filters and have the advantage that th
!"#"$%&' (&)**$&+ ,$'!-#* ,"# %-!-.!$"+ &+% -/!#&.!$"+ ", 0#"0-#!$-* ", *0$.)'&!-% 1&**-* Mehul P. Sampat1 , Alan C. Bovik1 , Mia K. Markey1 , Gary :. Whitman2 , Tanya W. Stephens2 !"# $%&'#()&*+ ,- !#./) /* 01)*&%2 01)*&%2 !3 454672 $80 !"# $%&'#()&*+ ,- !#./) 9: ;: 0%#( =#%*#(2 ?,1)*,%2 !3 44@A@2 $80 1

2

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`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a/1))&/%EG," /(# *"# >,)&%# 8I Sfcosine (r, θ; r0 , σ, ω)T /%< *"# )&%# 8I Sfsine (r, θ; r0 , σ, ω)T: !"#)# >,GF,%#%*) /(# )",C% &% I&H: 6 /%< /(# #%*(/D G/)) (#H&,%) ,- 89 ,% *"# >,GFD#*# G/GG,H(/G: B# /D), (&J# *"# G#*",* *"# F(,F#(*&#) ,- 89 -(,G (#H&,%) ,- &%*#(#)* SXWL)T >,%*/&%&%H 89:

S6T

!"# &G/H#) -,( *"&) )*1D+ /'/&D/JD# /)#): Q/>" >/)# >,%)&)*) ,- -,1( G/GG,H(/G)d / == /%< 9VW '&#C ,- #/>" J(#/)*: !"# ,1*E D&%#) ,- *"# /J%,(G/D&*&#) /(# )*,(#< &% e>"/&% >," &G/H#: !"# '/D1# ,- N C/) '/(&#< -(,G 1 *, 25: I,( #/>" '/D1# ,- N 2 *"# )#%)&*&'&*+ /%< *"# %1GJ#( ,- IcL C#(# FD,**#< *, ,J*/&% *"# IXW= >1('#: !, #'/D1/*# *"# F#(-,(G/%># ,- *"# >#%*(/D G/)) (#H&,% *&,% /DH,(&*"G2 / )#* ,- &G/H#) >,%)&)*&%H ,- MN &G/H#) ,89 C/) 1)#/% J# ,J*/&%#< &% O6@2 66P:

S/T =,)&%# 8I

SJT 8&%# 8I

,89. 3: Q./GFD# ,- / 8F&>1D/*&,% !D*#( S8ITd I&H1(#) S/T /%< SJT )",C *"# *C, U1/,GF,%#%*) ,- *"# 8I2 %/G#D+2 *"# >,)&%# 8I /%< *"# )&%# 8I2 (#)F#>*&'#D+:

:.3. %;?@8AD@=E=C BF A@BA=@ GH @;I8BJB98> !"# F"+)&>/D F(,F#(*&#) ,- 89 G#/)1(#< J+ *"# (/#%*(/D G/)) (#H&,%2 *"# %1GJ#( ,- )F&>1D#) /%< *"# D#%H*" /%< C&/D *#)* -,( #U1&'/D#%># C/) /FFD&#< /%< &* C/) )",C% *"/* *"# G#/)1(#G#%*) ,- *"# *C, (/" /(# G/(K#< J+ >,%'#(H&%H D&%#) ,( )F&>1D/*&,%): I,( *"# *&,% ,- *"# >#%*(/D G/)) (#H&,% ,- 89 /%< *, #.*(/>*

!!"#"$%(

Filter output at center of image

*"# &%-,(G/*&,% /J,1* *"# >#%*(/D G/)) (#H&,% ,- / 89 C# 1)# *"# !()* #%*#( ,- *"# 89: !"1)2 )1)F&>&,1) (#H&,%) >/% J# &#: K. #-*)'!*

:.K. -L>,1%*) -,( *"# #.F#>*#< '/(&/J&D&*+2 J/)#< ,% ,1( K%,CD##%*(/D G/)) (#H&,% /(# F(#E )#%*#< &% *"# -,(G ,- / IXW= >1('#: !"&) &) )",C% &% I&H: M: 0 )#%)&*&'&*+ ,- _@[ C/) />"&#'#< /* 7@ IcL: I,( *"# #.*(/>E *&,% ,- *"# F/(/G#*#() ,- *"# >#%*(/D G/)) (#H&,%2 / )*/*&)*&>/D *#)* ,- #U1&'/D#%># C/) 1)#< *, >,GF/(# *"# (#)1D*) ,- *"# /DE H,(&*"G /%< *"# G#/)1(#G#%*) G/,GE F/(#< *"#G *, *"# F"+)&>/D G#/)1(#G#%*) G/#%*(/D G/)) (#H&,%) ,- )F&>1D/*#< G/))#):

!!"#"$%$

δ @:7@ j abB G#/% @:7N j abB G#/% @:A@ j abB G#/%

FE'/D1# @:@7M @:@@N @:@@6

O]P 9: V: a&H#(2 e=,GF1*#(E/&/ c(#))2 7%< # %/((,CJ/%< !D*#(: !"1) *"#)# !D*#() /(# G,(# )F#>&!> &% *"#&( (#)F,%)# /%< (#)F,%< )*(,%HD+ *, G/))#) ,- / F/(*&>1D/( )&Z#: 0D),2 *"# ;,a !D*#() /(# %,* C#DD )1&*#< -,( *"# #.*(/>*&,% ,- F(,F#(*&#) ,- G/))#) J#>/1)# ,- *"#&( D/>K ,)F#>&!>&*+: L% >,%>D1)&,%2 C# "/'# )",C% *"/* *"# H/1))&/% *,(,&/% J# 1)#< -,( *"# *&,% ,- *"# >#%*(/D G/)) (#H&,% ,- 89: B# /D), )",C *"/* *"#)# !D*#() >/% J# 1)#< *, #.*(/>* F"+)&>/D F(,F#(*&#) ,- 89 />>1(/*#D+2 C&*",1* )#HG#%*/*&,%: O. #-,-#-+.-* O6P e=/%>#( -/>*) k !H1(#) 7@@N2f American Cancer Society2 7@@N: O7P 0G#(&>/% =,DD#H# ,- X//% =,DD#H# ,- X/# ,- )>(##%&%H G/GG,H(/F"+ /G,%H C,G#% C&*" /%< C&*",1* / !()*E 7@@@:

O_P !: B: I(##( /%< 9: b: $D&))#+2 e8>(##%&%H G/GG,HE (/F"+ C&*" >,GF1*#(E/&*&'# )*1,GG1%&*+ J(#/)* >#%*#(2f Radiology2 ',D: 77@2 FF: 456\45]2 7@@6: O6@P 9: c: 8/GF/* /%< 0: =: `,'&K2 e;#*#>*&,% ,- )F&>1D/*#< D#)&,%) &% G/GG,H(/G)2f &% Engineering in Medicine and Biology Society, 2003. Proceedings of the 25th Annual International Conference of the IEEE2 7@@A2 ',D: 62 FF: 56@\56A l,D:6: O66P 9: c: 8/GF/*2 a: b: B"&*G/%2 9: m: 9/(K#+2 /%< 0: =: `,'&K2 eQ'&# J/)#< *&,% ,- )F&>1D/*#< D#)&,%) /%< /(>"&*#>*1(/D 1D/*#< D#)&,%) ,% G/GG,H(/F"+2f &% Medical Imaging Perception Conference2 7@@N: O6MP B: Q: c,D/K,C)K&2 ;: 0: =,1(%,+#(2 8: m: X,H#()2 9: c: ;#8&G&,2 ;: B: X1>K2 b: B: ?,--G#&)*#(2 /%< X: 0: X/&%#)2 e=,GF1*#(E/&/%>#( *&,% /%< *,() *"/* &%"1#%># *"#Gd /% /%/D+)&) ,- 74257N F/*&#%* #'/DE 1/*&,%):2f Radiology2 ',D: 77N2 %,: 62 FF: 6]N\4N2 W>* 7@@7: ONP X: Q: `&(#2 /%< `: =: n/%K/)K/)2 e0%/D+E )&) ,- >/%>#() G&))#< /* )>(##%&%H G/GG,H(/F"+:2f Radiology2 ',D: 65M2 %,: A2 FF: ]6A\42 8#F 6__7:

!!"#"$%+

Suggest Documents