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Stephan Hilb
SemiSmoothNewton.jl
Commits
f3c21d63
Commit
f3c21d63
authored
3 years ago
by
Stephan Hilb
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remove old run function
parent
8753ec54
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src/run.jl
+0
-170
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src/run.jl
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and
170 deletions
src/run.jl
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−
170
View file @
f3c21d63
...
...
@@ -264,173 +264,3 @@ function optflow(imgf0, imgf1; name, params...)
println
()
end
end
function
myrun
()
name
=
"test"
mesh
=
init_grid
(
50
)
d
=
2
m
=
2
Vg
=
FeSpace
(
mesh
,
P1
(),
(
1
,))
Vu
=
FeSpace
(
mesh
,
P1
(),
(
m
,))
Vp1
=
FeSpace
(
mesh
,
DP0
(),
(
1
,))
Vp2
=
FeSpace
(
mesh
,
DP1
(),
(
m
,
d
))
# inpainting
mask
=
FeFunction
(
Vg
,
name
=
"mask"
)
g
=
FeFunction
(
Vg
,
name
=
"g"
)
u
=
FeFunction
(
Vu
,
name
=
"u"
)
p1
=
FeFunction
(
Vp1
,
name
=
"p1"
)
p2
=
FeFunction
(
Vp2
,
name
=
"p2"
)
du
=
FeFunction
(
Vu
)
dp1
=
FeFunction
(
Vp1
)
dp2
=
FeFunction
(
Vp2
)
nablau
=
nabla
(
u
)
nabladu
=
nabla
(
du
)
g
.
data
.=
0
u
.
data
.=
0
p1
.
data
.=
0
p2
.
data
.=
0
du
.
data
.=
0
dp1
.
data
.=
0
dp2
.
data
.=
0
alpha1
=
0.
alpha2
=
10.
beta
=
1e-3
lambda
=
0.01
gamma1
=
1e-3
gamma2
=
1e-3
interpolate!
(
g
,
x
->
norm
(
x
-
SA
[
0.5
,
0.5
])
<
0.3
)
interpolate!
(
f0
,
x
->
x
[
1
])
interpolate!
(
f1
,
x
->
x
[
1
]
-
0.01
)
fw
.
data
.=
f1
.
data
g_optflow
(
x
;
u
,
f0
,
fw
,
nablafw
)
=
nablafw
*
u
-
(
fw
-
f0
)
interpolate!
(
g
,
g_optflow
;
u
,
f0
,
fw
,
nablafw
)
#T(data, u) = u
#tdata = u # FIXME
#T(data, u) = iszero(data) ? zero(u) : u
#tdata = mask
T
(
data
,
u
)
=
data
*
u
tdata
=
nabla
(
fw
)
#S(u, nablau) = u
S
(
u
,
nablau
)
=
nablau
function
dp1_update
(
x
;
g
,
u
,
p1
,
du
,
tdata
)
m1
=
max
(
gamma1
,
norm
(
T
(
tdata
,
u
)
-
g
))
cond
=
norm
(
T
(
tdata
,
u
)
-
g
)
>
gamma1
?
dot
(
T
(
tdata
,
u
)
-
g
,
T
(
tdata
,
du
))
/
norm
(
T
(
tdata
,
u
)
-
g
)
^
2
*
p1
:
zero
(
p1
)
return
-
p1
+
alpha1
/
m1
*
(
T
(
tdata
,
u
)
+
T
(
tdata
,
du
)
-
g
)
-
cond
end
function
dp2_update
(
x
;
u
,
nablau
,
p2
,
du
,
nabladu
)
m2
=
max
(
gamma2
,
norm
(
nablau
))
cond
=
norm
(
nablau
)
>
gamma2
?
dot
(
nablau
,
nabladu
)
/
norm
(
nablau
)
^
2
*
p2
:
zero
(
p2
)
return
-
p2
+
lambda
/
m2
*
(
nablau
+
nabladu
)
-
cond
end
function
p1_project!
()
p1
.
space
.
element
::
DP0
p1
.
data
.=
clamp
.
(
p1
.
data
,
-
alpha1
,
alpha1
)
end
function
p2_project!
()
p2
.
space
.
element
::
DP1
p2d
=
reshape
(
p2
.
data
,
m
*
d
*
3
,
:
)
# no copy
for
i
in
axes
(
p2d
,
2
)
p2in
=
norm
(
p2d
[
:
,
i
])
if
p2in
>
lambda
p2d
[
:
,
i
]
.*=
lambda
./
p2in
end
end
end
function
du_a
(
x
,
du
,
nabladu
,
phi
,
nablaphi
;
g
,
u
,
nablau
,
p1
,
p2
,
tdata
)
m1
=
max
(
gamma1
,
norm
(
T
(
tdata
,
u
)
-
g
))
cond1
=
norm
(
T
(
tdata
,
u
)
-
g
)
>
gamma1
?
dot
(
T
(
tdata
,
u
)
-
g
,
T
(
tdata
,
du
))
/
norm
(
T
(
tdata
,
u
)
-
g
)
^
2
*
p1
:
zero
(
p1
)
a1
=
alpha1
/
m1
*
dot
(
T
(
tdata
,
du
),
T
(
tdata
,
phi
))
-
dot
(
cond1
,
T
(
tdata
,
phi
))
m2
=
max
(
gamma2
,
norm
(
nablau
))
cond2
=
norm
(
nablau
)
>
gamma2
?
dot
(
nablau
,
nabladu
)
/
norm
(
nablau
)
^
2
*
p2
:
zero
(
p2
)
a2
=
lambda
/
m2
*
dot
(
nabladu
,
nablaphi
)
-
dot
(
cond2
,
nablaphi
)
aB
=
alpha2
*
dot
(
T
(
tdata
,
du
),
T
(
tdata
,
phi
))
+
beta
*
dot
(
S
(
du
,
nabladu
),
S
(
phi
,
nablaphi
))
return
a1
+
a2
+
aB
end
function
du_l
(
x
,
phi
,
nablaphi
;
g
,
u
,
nablau
,
tdata
)
aB
=
alpha2
*
dot
(
T
(
tdata
,
u
),
T
(
tdata
,
phi
))
+
beta
*
dot
(
S
(
u
,
nablau
),
S
(
phi
,
nablaphi
))
m1
=
max
(
gamma1
,
norm
(
T
(
tdata
,
u
)
-
g
))
p1part
=
alpha1
/
m1
*
dot
(
T
(
tdata
,
u
)
-
g
,
T
(
tdata
,
phi
))
m2
=
max
(
gamma2
,
norm
(
nablau
))
p2part
=
lambda
/
m2
*
dot
(
nablau
,
nablaphi
)
gpart
=
alpha2
*
dot
(
g
,
T
(
tdata
,
phi
))
return
-
aB
-
p1part
-
p2part
+
gpart
end
function
save_step!
(
pvd
,
i
)
vtk
=
vtk_mesh
(
"
$(name)
_
$
(lpad(i, 5, '0')).vtu"
,
mesh
)
vtk_append!
(
vtk
,
g
,
u
,
p1
,
p2
)
vtk_save
(
vtk
)
pvd
[
i
]
=
vtk
end
pvd
=
paraview_collection
(
"
$(name)
.pvd"
)
save_step!
(
pvd
,
0
)
for
i
=
1
:
20
print
(
"[
$
(lpad(i, 3, '0'))] "
)
# solve du
print
(
"assemble ... "
)
A
=
assemble
(
Vu
,
du_a
;
g
,
u
,
nablau
,
p1
,
p2
,
tdata
)
b
=
assemble_rhs
(
Vu
,
du_l
;
g
,
u
,
nablau
,
tdata
)
print
(
"solve ... "
)
du
.
data
.=
A
\
b
# solve dp1, dp2
interpolate!
(
dp1
,
dp1_update
;
g
,
u
,
p1
,
du
,
tdata
)
interpolate!
(
dp2
,
dp2_update
;
u
,
nablau
,
p2
,
du
,
nabladu
)
# newton update
u
.
data
.+=
du
.
data
p1
.
data
.+=
dp1
.
data
p2
.
data
.+=
dp2
.
data
# reproject p1, p2
p1_project!
()
p2_project!
()
print
(
"save ... "
)
save_step!
(
pvd
,
i
)
println
()
end
vtk_save
(
pvd
)
return
end
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