9FB "- $.
pr ep
rin
t
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
pr ep
rin
t
9F@ "- $.
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
9FF "- $.
rin
t
pr ep
* F " " 7
2 3
.
;! # ) ) ))/*
D
A 0 # % 7 P 9 ( ( ( 0
# % 7 &
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
+1
2
#0
t
2 # ) ) ))
pr ep
rin
. G
# % 1
.
P # %
9 # % P # % ( #C9%
.
D 0 #' % 7 P 9 ( ( ( 0 ' P # ( ( ( % P # % $ P 9 (( C
, C9
C $ , C9 D
, C9
1 #:? %
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
2
# ) ) "))
+2
#:? ;? %
NB:O 6
, ' . ,
pr ep
rin
t
D
.
# P 9 ( ( ( 0% PQ 6 23 # %
# , C;#%% , C;#% # # % # % 6 # , C>%%
, C;#% 7 0 , C; &
G
, V 9 P 9 ( ( ( 0
9 V P
7 G
#% G
= P # % 4 ;# % ' # % 4 ;# % (
=
G
#% = #% P =
#%
Modeling and Inverse Problems in Image Analysis
P
#%(
B. Chalmond
Preprint Springer AMS 155
13
2
#0
u
u
1
1
#%
-. =* $
) 7 )
pr ep
2 -. "
#%
rin
t
u
t 2
))
#% #%
P #%
P #%
#%
, C:
,
P
#% V (
5 + F . ' + F P Q +
! P # %
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
2
# ) ) "))
1
rin
t
#%
#%
-.
-.
pr ep
2$ -.
-
P # V % ! +( ! 0P = V
$ V 23 2 3 !
6 .7 ' -
8 7
P # $ % + F $ #, C>% 1
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
1
2
#0
c
t
b
u2 a u1
s
xs
s+
s
t
s-
rin
2% ! )
pr ep
+
P P # $ % ! +
$ # = $ $ " = ! ! PQ ! W
$ P = ! + = 7
#*9% ! P # % ! P # % P 0 = P 0 = "! ! " " Æ ,
-
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
2
#*;%
# ) ) "))
1$
! - $ * Æ
&
&" &" P & #*9% #*;% 6
rin
P
t
A .
2. 3 2
3
&" 1 # % P # % W # %
# % W
# %(
pr ep
- . H ½N$ 0P =OPQ
, CB 7 1 .
# % P
$ $
W $ $
(
# % P #9 % ?
?
-
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
2
#0
t
1%
rin
2& = 7
# %
P
(
pr ep
. # % P 2#V V %(
2#V V % + G
# % # % N9;> ;=O > ##:9@% @C% ! 2
2#V V % P ># % W ># %
#% ># % P #% 2( #%
>
2 +
9 9 2#V V % P # % # % W W ( ; ;
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
2
#6 # #
1&
;$ & %
pr ep
0 $66
rin
t
. ' /
# " * ;% # % / # P % N P P O # %( 1 ! + ) ! P # % ;Æ W 9 #;Æ W 9% ' #;Æ W 9% P # % . #*9% #*;% / # U % P # ) # % %( 5 H/
7 #% 9 #% ' #% 9 #% ! < #%
- , #% #% " 6
. '
5 ( 9 N 1 ( 9=9
#( :;9%
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
23
3
! + Æ W + P + < + &
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
3
Æ
W
Æ
W
Æ
W
Æ
Æ
W
Æ
W
Æ
W
Æ
Æ
W
Æ
W
Æ
W
Æ
W
Æ
W
Æ
@
W W W
3 #
W W W
8
W W W
-
?
2
W W
Æ ? Æ
Æ
/
?
E/
?
.
rin
t
& P = ( ( ( ;BB & P = 9 9 !
P = 7 2 3 2 7 3 P 9 ! #@% 7 #?% ! , 9=9
pr ep
/ ) ! + # % * @ # P % /
# % P
# % P # % W # %
# %
# % P
9
; H
G
! * @ # e% P # e % W # H % e P # ( ( ( % P H ( e e 7 e &
# e %
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
2
3
Æ
Æ
W
W !
W
W
W
W
Æ
Æ
W
Æ ) ! +
W Æ
!
W
W
) ! +
#%
#%
3 # -. 5
-. 5
rin
t
+ , 9=; & , 9=;#%
7 6 4? W ? ( ;
Æ ,
# e
%P
W
W
(
2#
P
rin
t
1 NO
# e % P W #9=:%
?
9 W
? 0 (
pr ep
7 ' ? NC=O
9 -#% P #9=>% 9 W $ , ( ;; #;9F% 7 -#% = ' 5 . -#% P &
" 1
, + + #B% B P = ( ( ( > + #B%
! ) B B 9
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
3
,66
0
A
? #B % ? #B %
P
#B%
9
P ;#
#? #B %
W
B %
?
#B%
#B%%
2&
+ #B % # ) # %%
#B% P ? #B%
#B% P ; ? #B%(
& %
= P =
(
P
1
W
1
3
W ;
3
t
rin
PQ $ W $ P $ W $ $ $ $ P $ #% / 9 '/A =(9 A
:; ' :; , 7
1 7
Modeling and Inverse Problems in Image Analysis
B. Chalmond
Preprint Springer AMS 155
3
,66
0
0 +
P
P
#> #B % > #B %%
#B%
$
#=% > #=%
2+
A
> #B %
W $
+ #B % ) # %
#B%
(
#=% W H ?
9 W >$ #=% $ P W? H
?
(
rin
t
G
D D ) ( #9=@%
pr ep
( P W G
/ + #=% # G
/ ? #Q% P O 5 ? W ? #Q%% R
P
$
#9=F%
; 9 R > #=% P ; W H 9 W > $
#9= #=% >
1
R
3 ! " (
#R > #=%% . $ $ R P $ $ 1 3 > #=% P + #=% R (
"
Modeling and Inverse Problems in Image Analysis
! "
B. Chalmond
Preprint Springer AMS 155
21
3
#9=F% #9= #=%#9 % ( = 9 5 #(