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Hurstel
CGoGN
Commits
487e70fc
Commit
487e70fc
authored
Mar 22, 2012
by
julien
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calcul ei
parent
056eeaea
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include/Algo/Geometry/feature.h
include/Algo/Geometry/feature.h
+87
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include/Algo/Geometry/feature.hpp
include/Algo/Geometry/feature.hpp
+422
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include/Algo/Geometry/feature.h
0 → 100644
View file @
487e70fc
/*******************************************************************************
* CGoGN: Combinatorial and Geometric modeling with Generic N-dimensional Maps *
* version 0.1 *
* Copyright (C) 2009-2011, IGG Team, LSIIT, University of Strasbourg *
* *
* This library is free software; you can redistribute it and/or modify it *
* under the terms of the GNU Lesser General Public License as published by the *
* Free Software Foundation; either version 2.1 of the License, or (at your *
* option) any later version. *
* *
* This library is distributed in the hope that it will be useful, but WITHOUT *
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or *
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License *
* for more details. *
* *
* You should have received a copy of the GNU Lesser General Public License *
* along with this library; if not, write to the Free Software Foundation, *
* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. *
* *
* Web site: http://cgogn.u-strasbg.fr/ *
* Contact information: cgogn@unistra.fr *
* *
*******************************************************************************/
#ifndef __ALGO_GEOMETRY_FEATURE_H__
#define __ALGO_GEOMETRY_FEATURE_H__
namespace
CGoGN
{
namespace
Algo
{
namespace
Geometry
{
template
<
typename
PFP
>
void
featureEdgeDetection
(
typename
PFP
::
MAP
&
map
,
const
typename
PFP
::
TVEC3
&
position
,
CellMarker
&
featureEdge
)
;
template
<
typename
PFP
>
void
computeArea
(
typename
PFP
::
MAP
&
map
,
const
typename
PFP
::
TVEC3
&
position
,
typename
PFP
::
TREAL
&
area
,
const
FunctorSelect
&
select
=
allDarts
,
unsigned
int
thread
=
0
)
;
template
<
typename
PFP
>
void
computeFaceGradient
(
typename
PFP
::
MAP
&
map
,
const
typename
PFP
::
TVEC3
&
position
,
typename
PFP
::
TVEC3
&
face_gradient
,
const
typename
PFP
::
TVEC3
&
face_normal
,
const
typename
PFP
::
TREAL
&
kmax
,
const
typename
PFP
::
TREAL
&
area
,
const
FunctorSelect
&
select
=
allDarts
,
unsigned
int
thread
=
0
)
;
template
<
typename
PFP
>
void
computeGradient
(
typename
PFP
::
MAP
&
map
,
const
typename
PFP
::
TVEC3
&
position
,
typename
PFP
::
TVEC3
&
gradient
,
typename
PFP
::
TVEC3
&
face_gradient
,
const
typename
PFP
::
TREAL
&
area
,
const
FunctorSelect
&
select
=
allDarts
,
unsigned
int
thread
=
0
)
;
template
<
typename
PFP
>
void
computeTriangleType
(
typename
PFP
::
MAP
&
map
,
const
typename
PFP
::
TVEC3
&
position
,
CellMarker
&
regularMarker
,
const
FunctorSelect
&
select
=
allDarts
,
unsigned
int
thread
=
0
)
;
template
<
typename
PFP
>
void
computeCurvatureSign
(
typename
PFP
::
MAP
&
map
,
const
typename
PFP
::
TVEC3
&
position
,
CellMarker
&
regularMarker
,
typename
PFP
::
TVEC3
&
faceGradient
,
const
typename
PFP
::
TREAL
&
area
,
const
typename
PFP
::
TREAL
&
k
,
const
FunctorSelect
&
select
=
allDarts
,
unsigned
int
thread
=
0
)
;
template
<
typename
PFP
>
std
::
vector
<
typename
PFP
::
VEC3
>
occludingContoursDetection
(
typename
PFP
::
MAP
&
map
,
const
typename
PFP
::
VEC3
&
cameraPosition
,
const
typename
PFP
::
TVEC3
&
position
,
const
typename
PFP
::
TVEC3
&
normal
)
;
template
<
typename
PFP
>
typename
PFP
::
TREAL
faceArea
(
typename
PFP
::
MAP
&
map
,
Dart
d
,
const
typename
PFP
::
TVEC3
&
position
)
;
template
<
typename
PFP
>
typename
PFP
::
VEC3
faceGradient
(
typename
PFP
::
MAP
&
map
,
Dart
d
,
const
typename
PFP
::
TVEC3
&
position
,
const
typename
PFP
::
TVEC3
&
face_normal
,
const
typename
PFP
::
TREAL
&
kmax
,
const
typename
PFP
::
TREAL
&
area
)
;
template
<
typename
PFP
>
bool
triangleType
(
typename
PFP
::
MAP
&
map
,
Dart
d
,
const
typename
PFP
::
TVEC3
&
position
)
;
template
<
typename
PFP
>
bool
isInSameOctant
(
const
typename
PFP
::
VEC3
&
pos1
,
const
typename
PFP
::
VEC3
&
pos2
)
;
template
<
typename
PFP
>
void
curvatureSign
(
typename
PFP
::
MAP
&
map
,
Dart
d
,
const
typename
PFP
::
TVEC3
&
position
,
CellMarker
&
regularMarker
,
typename
PFP
::
TREAL
&
k
,
typename
PFP
::
TVEC3
&
faceGradient
,
typename
PFP
::
TREAL
&
area
)
;
template
<
typename
PFP
>
typename
PFP
::
REAL
extremality
(
typename
PFP
::
MAP
&
map
,
Dart
d
,
const
typename
PFP
::
TVEC3
&
position
,
typename
PFP
::
TREAL
&
k
,
typename
PFP
::
TVEC3
&
faceGradient
,
typename
PFP
::
TREAL
&
area
)
;
template
<
typename
PFP
>
typename
PFP
::
TVEC3
vertexGradient
(
typename
PFP
::
MAP
&
map
,
Dart
d
,
const
typename
PFP
::
TVEC3
&
position
,
const
typename
PFP
::
TVEC3
&
face_gradient
,
const
typename
PFP
::
TREAL
&
area
)
;
}
// namespace Geometry
}
// namespace Algo
}
// namespace CGoGN
#include "Algo/Geometry/feature.hpp"
#endif
include/Algo/Geometry/feature.hpp
0 → 100644
View file @
487e70fc
/*******************************************************************************
* CGoGN: Combinatorial and Geometric modeling with Generic N-dimensional Maps *
* version 0.1 *
* Copyright (C) 2009-2011, IGG Team, LSIIT, University of Strasbourg *
* *
* This library is free software; you can redistribute it and/or modify it *
* under the terms of the GNU Lesser General Public License as published by the *
* Free Software Foundation; either version 2.1 of the License, or (at your *
* option) any later version. *
* *
* This library is distributed in the hope that it will be useful, but WITHOUT *
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or *
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License *
* for more details. *
* *
* You should have received a copy of the GNU Lesser General Public License *
* along with this library; if not, write to the Free Software Foundation, *
* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. *
* *
* Web site: http://cgogn.u-strasbg.fr/ *
* Contact information: cgogn@unistra.fr *
* *
*******************************************************************************/
#include "Geometry/basic.h"
#include "Algo/Geometry/normal.h"
#include "Topology/generic/traversorCell.h"
namespace
CGoGN
{
namespace
Algo
{
namespace
Geometry
{
template
<
typename
PFP
>
void
featureEdgeDetection
(
typename
PFP
::
MAP
&
map
,
typename
PFP
::
TVEC3
&
position
,
CellMarker
&
featureEdge
)
{
typedef
typename
PFP
::
VEC3
VEC3
;
typedef
typename
PFP
::
REAL
REAL
;
featureEdge
.
unmarkAll
()
;
AttributeHandler
<
VEC3
>
fNormal
=
map
.
template
getAttribute
<
VEC3
>(
FACE
,
"normal"
)
;
if
(
!
fNormal
.
isValid
())
fNormal
=
map
.
template
addAttribute
<
VEC3
>(
FACE
,
"normal"
)
;
Algo
::
Geometry
::
computeNormalFaces
<
PFP
>
(
map
,
position
,
fNormal
)
;
TraversorE
<
typename
PFP
::
MAP
>
t
(
map
)
;
for
(
Dart
d
=
t
.
begin
();
d
!=
t
.
end
();
d
=
t
.
next
())
{
if
(
!
map
.
isBoundaryEdge
(
d
)
&&
Geom
::
angle
(
fNormal
[
d
],
fNormal
[
map
.
phi2
(
d
)])
>
M_PI
/
REAL
(
6
))
featureEdge
.
mark
(
d
)
;
}
// map.template removeAttribute<VEC3>(fNormal) ;
}
template
<
typename
PFP
>
void
computeArea
(
typename
PFP
::
MAP
&
map
,
const
typename
PFP
::
TVEC3
&
position
,
typename
PFP
::
TREAL
&
area
,
const
FunctorSelect
&
select
=
allDarts
,
unsigned
int
thread
=
0
)
{
TraversorF
<
typename
PFP
::
MAP
>
trav
(
map
,
select
,
thread
);
for
(
Dart
d
=
trav
.
begin
();
d
!=
trav
.
end
();
d
=
trav
.
next
())
area
[
d
]
=
faceArea
<
PFP
>
(
map
,
d
,
position
)[
1
]
;
}
template
<
typename
PFP
>
void
computeFaceGradient
(
typename
PFP
::
MAP
&
map
,
const
typename
PFP
::
TVEC3
&
position
,
typename
PFP
::
TVEC3
&
face_gradient
,
const
typename
PFP
::
TVEC3
&
face_normal
,
const
typename
PFP
::
TREAL
&
kmax
,
const
typename
PFP
::
TREAL
&
area
,
const
FunctorSelect
&
select
=
allDarts
,
unsigned
int
thread
=
0
)
{
TraversorF
<
typename
PFP
::
MAP
>
trav
(
map
,
select
,
thread
);
for
(
Dart
d
=
trav
.
begin
();
d
!=
trav
.
end
();
d
=
trav
.
next
())
face_gradient
[
d
]
=
faceGradient
<
PFP
>
(
map
,
d
,
position
,
face_normal
,
kmax
,
area
)
;
}
template
<
typename
PFP
>
void
computeGradient
(
typename
PFP
::
MAP
&
map
,
const
typename
PFP
::
TVEC3
&
position
,
typename
PFP
::
TVEC3
&
gradient
,
typename
PFP
::
TVEC3
&
face_gradient
,
const
typename
PFP
::
TREAL
&
area
,
const
FunctorSelect
&
select
=
allDarts
,
unsigned
int
thread
=
0
)
{
TraversorV
<
typename
PFP
::
MAP
>
trav
(
map
,
select
,
thread
);
for
(
Dart
d
=
trav
.
begin
();
d
!=
trav
.
end
();
d
=
trav
.
next
())
gradient
[
d
]
=
vertexGradient
<
PFP
>
(
map
,
d
,
position
,
face_gradient
,
area
)
;
}
template
<
typename
PFP
>
void
computeTriangleType
(
typename
PFP
::
MAP
&
map
,
const
typename
PFP
::
TVEC3
&
position
,
CellMarker
&
regularMarker
,
const
FunctorSelect
&
select
=
allDarts
,
unsigned
int
thread
=
0
)
{
TraversorF
<
typename
PFP
::
MAP
>
trav
(
map
,
select
,
thread
);
for
(
Dart
d
=
trav
.
begin
();
d
!=
trav
.
end
();
d
=
trav
.
next
())
if
(
triangleType
<
PFP
>
(
map
,
d
,
position
))
regularMarker
.
mark
(
d
)
;
}
template
<
typename
PFP
>
void
computeCurvatureSign
(
typename
PFP
::
MAP
&
map
,
const
typename
PFP
::
TVEC3
&
position
,
CellMarker
&
regularMarker
,
typename
PFP
::
TVEC3
&
faceGradient
,
const
typename
PFP
::
TREAL
&
area
,
const
typename
PFP
::
TREAL
&
k
,
const
FunctorSelect
&
select
=
allDarts
,
unsigned
int
thread
=
0
)
{
/*CellMarker mv(map, VERTEX, thread);
TraversorV<typename PFP::MAP> trav(map, select, thread);
for (Dart d = trav.begin(); d != trav.end(); d = trav.next())
{
if (!mv.isMarked(d))
{
curvatureSign<PFP>(map, d, position, triangle_type, k) ;
}
}*/
TraversorF
<
typename
PFP
::
MAP
>
trav
(
map
,
select
,
thread
);
for
(
Dart
d
=
trav
.
begin
();
d
!=
trav
.
end
();
d
=
trav
.
next
())
{
if
(
regularMarker
.
isMarked
(
d
))
{
curvatureSign
<
PFP
>
(
map
,
d
,
position
,
regularMarker
,
k
,
faceGradient
,
area
)
;
}
}
}
template
<
typename
PFP
>
std
::
vector
<
typename
PFP
::
VEC3
>
occludingContoursDetection
(
typename
PFP
::
MAP
&
map
,
const
typename
PFP
::
VEC3
&
cameraPosition
,
const
typename
PFP
::
TVEC3
&
position
,
const
typename
PFP
::
TVEC3
&
normal
)
{
typedef
typename
PFP
::
VEC3
VEC3
;
typedef
typename
PFP
::
REAL
REAL
;
std
::
vector
<
VEC3
>
occludingContours
;
TraversorF
<
typename
PFP
::
MAP
>
t
(
map
)
;
for
(
Dart
d
=
t
.
begin
();
d
!=
t
.
end
();
d
=
t
.
next
())
{
VEC3
p1
=
position
[
d
]
;
VEC3
p2
=
position
[
map
.
phi1
(
d
)]
;
VEC3
p3
=
position
[
map
.
phi_1
(
d
)]
;
REAL
dp1
=
(
p1
-
cameraPosition
)
*
normal
[
d
]
;
REAL
dp2
=
(
p2
-
cameraPosition
)
*
normal
[
map
.
phi1
(
d
)]
;
REAL
dp3
=
(
p3
-
cameraPosition
)
*
normal
[
map
.
phi_1
(
d
)]
;
if
(
dp1
<
0
&&
dp2
>
0
)
{
REAL
alpha
=
-
dp1
/
(
-
dp1
+
dp2
)
;
occludingContours
.
push_back
(
alpha
*
p1
+
(
1
-
alpha
)
*
p2
)
;
}
if
(
dp2
<
0
&&
dp1
>
0
)
{
REAL
alpha
=
dp1
/
(
dp1
-
dp2
)
;
occludingContours
.
push_back
(
alpha
*
p1
+
(
1
-
alpha
)
*
p2
)
;
}
if
(
dp1
<
0
&&
dp3
>
0
)
{
REAL
alpha
=
-
dp1
/
(
-
dp1
+
dp3
)
;
occludingContours
.
push_back
(
alpha
*
p1
+
(
1
-
alpha
)
*
p3
)
;
}
if
(
dp3
<
0
&&
dp1
>
0
)
{
REAL
alpha
=
dp1
/
(
dp1
-
dp3
)
;
occludingContours
.
push_back
(
alpha
*
p1
+
(
1
-
alpha
)
*
p3
)
;
}
if
(
dp2
<
0
&&
dp3
>
0
)
{
REAL
alpha
=
-
dp2
/
(
-
dp2
+
dp3
)
;
occludingContours
.
push_back
(
alpha
*
p2
+
(
1
-
alpha
)
*
p3
)
;
}
if
(
dp3
<
0
&&
dp2
>
0
)
{
REAL
alpha
=
dp2
/
(
dp2
-
dp3
)
;
occludingContours
.
push_back
(
alpha
*
p2
+
(
1
-
alpha
)
*
p3
)
;
}
}
return
occludingContours
;
}
template
<
typename
PFP
>
float
faceArea
(
typename
PFP
::
MAP
&
map
,
Dart
d
,
const
typename
PFP
::
TVEC3
&
position
)
{
typedef
typename
PFP
::
REAL
REAL
;
typedef
typename
PFP
::
VEC3
VEC3
;
float
A
[
1
]
;
VEC3
pos1
(
0
)
;
VEC3
pos2
(
0
)
;
VEC3
pos3
(
0
)
;
Traversor2FV
<
typename
PFP
::
MAP
>
t
(
map
,
d
)
;
Dart
it
=
t
.
begin
()
;
pos1
+=
position
[
it
]
;
it
=
t
.
next
;
pos2
+=
position
[
it
]
;
it
=
t
.
next
;
pos3
+=
position
[
it
]
;
A
=
1
/
2
*
abs
(
(
(
pos2
.
x
-
pos1
.
x
)
*
(
pos3
.
y
-
pos1
.
y
)
)
-
(
(
pos3
.
x
-
pos1
.
x
)
*
(
pos2
.
y
-
pos1
.
y
)
)
)
;
return
A
;
}
template
<
typename
PFP
>
typename
PFP
::
VEC3
faceGradient
(
typename
PFP
::
MAP
&
map
,
Dart
d
,
const
typename
PFP
::
TVEC3
&
position
,
const
typename
PFP
::
TVEC3
&
face_normal
,
const
typename
PFP
::
TREAL
&
kmax
,
const
typename
PFP
::
TREAL
&
area
)
{
typedef
typename
PFP
::
REAL
REAL
;
typedef
typename
PFP
::
VEC3
VEC3
;
VEC3
G
(
0
)
;
VEC3
pos1
(
0
)
;
VEC3
pos2
(
0
)
;
VEC3
pos3
(
0
)
;
VEC3
n
=
face_normal
[
d
]
;
REAL
k1
;
REAL
k2
;
REAL
k3
;
REAL
a
=
area
[
d
]
;
Traversor2FV
<
typename
PFP
::
MAP
>
t
(
map
,
d
)
;
Dart
it
=
t
.
begin
()
;
pos1
+=
position
[
it
]
;
k1
=
kmax
[
it
]
;
it
=
t
.
next
()
;
pos2
+=
position
[
it
]
;
k2
=
kmax
[
it
]
;
it
=
t
.
next
()
;
pos3
+=
position
[
it
]
;
k3
=
kmax
[
it
]
;
G
+=
k1
*
(
(
n
^
(
pos3
-
pos2
)
)
/
(
2
*
a
)
)
+
k2
*
(
(
n
^
(
pos1
-
pos3
)
)
/
(
2
*
a
)
)
+
k3
*
(
(
n
^
(
pos2
-
pos1
)
)
/
(
2
*
a
)
)
;
G
.
normalize
()
;
return
G
;
}
template
<
typename
PFP
>
bool
triangleType
(
typename
PFP
::
MAP
&
map
,
Dart
d
,
const
typename
PFP
::
TVEC3
&
position
)
{
typedef
typename
PFP
::
REAL
REAL
;
typedef
typename
PFP
::
VEC3
VEC3
;
VEC3
pos1
(
0
)
;
VEC3
pos2
(
0
)
;
VEC3
pos3
(
0
)
;
Traversor2FV
<
typename
PFP
::
MAP
>
t
(
map
,
d
)
;
Dart
it
=
t
.
begin
()
;
pos1
+=
position
[
it
]
;
it
=
t
.
next
()
;
pos2
+=
position
[
it
]
;
it
=
t
.
next
()
;
pos3
+=
position
[
it
]
;
if
(
isInSameOctant
<
PFP
>
(
pos1
,
pos2
)
&&
isInSameOctant
<
PFP
>
(
pos1
,
pos3
)
)
{
//regular triangle
return
true
;
}
else
{
//singular triangle
return
false
;
}
}
template
<
typename
PFP
>
bool
isInSameOctant
(
const
typename
PFP
::
VEC3
&
pos1
,
const
typename
PFP
::
VEC3
&
pos2
)
{
return
(
(
pos1
[
0
]
>
0
&&
pos1
[
1
]
>
0
&&
pos1
[
2
]
>
0
&&
//one of the eight octant
(
(
pos2
[
0
]
>
0
&&
pos2
[
1
]
>
0
&&
pos2
[
2
]
>
0
)
or
//one choice of sign
(
pos2
[
0
]
<
0
&&
pos2
[
1
]
<
0
&&
pos2
[
2
]
<
0
)
)
)
or
//the other choice
(
pos1
[
0
]
>
0
&&
pos1
[
1
]
>
0
&&
pos1
[
2
]
<
0
&&
(
(
pos2
[
0
]
>
0
&&
pos2
[
1
]
>
0
&&
pos2
[
2
]
<
0
)
or
(
pos2
[
0
]
<
0
&&
pos2
[
1
]
<
0
&&
pos2
[
2
]
>
0
)
)
)
or
(
pos1
[
0
]
>
0
&&
pos1
[
1
]
<
0
&&
pos1
[
2
]
>
0
&&
(
(
pos2
[
0
]
>
0
&&
pos2
[
1
]
<
0
&&
pos2
[
2
]
>
0
)
or
(
pos2
[
0
]
<
0
&&
pos2
[
1
]
>
0
&&
pos2
[
2
]
<
0
)
)
)
or
(
pos1
[
0
]
>
0
&&
pos1
[
1
]
<
0
&&
pos1
[
2
]
<
0
&&
(
(
pos2
[
0
]
>
0
&&
pos2
[
1
]
<
0
&&
pos2
[
2
]
<
0
)
or
(
pos2
[
0
]
<
0
&&
pos2
[
1
]
>
0
&&
pos2
[
2
]
>
0
)
)
)
or
(
pos1
[
0
]
<
0
&&
pos1
[
1
]
>
0
&&
pos1
[
2
]
>
0
&&
(
(
pos2
[
0
]
<
0
&&
pos2
[
1
]
>
0
&&
pos2
[
2
]
>
0
)
or
(
pos2
[
0
]
>
0
&&
pos2
[
1
]
<
0
&&
pos2
[
2
]
<
0
)
)
)
or
(
pos1
[
0
]
<
0
&&
pos1
[
1
]
>
0
&&
pos1
[
2
]
<
0
&&
(
(
pos2
[
0
]
<
0
&&
pos2
[
1
]
>
0
&&
pos2
[
2
]
<
0
)
or
(
pos2
[
0
]
>
0
&&
pos2
[
1
]
<
0
&&
pos2
[
2
]
>
0
)
)
)
or
(
pos1
[
0
]
<
0
&&
pos1
[
1
]
<
0
&&
pos1
[
2
]
>
0
&&
(
(
pos2
[
0
]
<
0
&&
pos2
[
1
]
<
0
&&
pos2
[
2
]
>
0
)
or
(
pos2
[
0
]
>
0
&&
pos2
[
1
]
>
0
&&
pos2
[
2
]
<
0
)
)
)
or
(
pos1
[
0
]
<
0
&&
pos1
[
1
]
<
0
&&
pos1
[
2
]
<
0
&&
(
(
pos2
[
0
]
<
0
&&
pos2
[
1
]
<
0
&&
pos2
[
2
]
<
0
)
or
(
pos2
[
0
]
>
0
&&
pos2
[
1
]
>
0
&&
pos2
[
2
]
>
0
)
)
)
)
;
}
template
<
typename
PFP
>
void
curvatureSign
(
typename
PFP
::
MAP
&
map
,
Dart
d
,
const
typename
PFP
::
TVEC3
&
position
,
CellMarker
&
regularMarker
,
typename
PFP
::
TREAL
&
k
,
typename
PFP
::
TVEC3
&
faceGradient
,
typename
PFP
::
TREAL
&
area
)
{
/*sommetTraité = true ;*/
/*Traversor2VE<typename PFP::MAP> trav2(map, d) ;
for (Dart d2 = trav2.begin(); d2 != trav2.end(); d2 = trav2.next())
{
if (arrete non traité true)
{
if((k[d] * k[d2]) <= 0)
{
k[d2] *= -1 ;
}
}
}*/
/* Choix du signe */
typedef
typename
PFP
::
REAL
REAL
;
typedef
typename
PFP
::
VEC3
VEC3
;
VEC3
pos1
(
0
)
;
VEC3
pos2
(
0
)
;
VEC3
pos3
(
0
)
;
Traversor2FV
<
typename
PFP
::
MAP
>
t
(
map
,
d
)
;
Dart
it
=
t
.
begin
()
;
pos1
+=
position
[
it
]
;
it
=
t
.
next
()
;
pos2
+=
position
[
it
]
;
it
=
t
.
next
()
;
pos3
+=
position
[
it
]
;
if
((
k
[
pos1
]
^
k
[
pos2
])
<=
0
)
{
k
[
pos2
]
*=
-
1
;
}
if
((
k
[
pos1
]
^
k
[
pos3
])
<=
0
)
{
k
[
pos3
]
*=
-
1
;
}
/* Calcul coefficient extremalite */
REAL
e1
,
e2
,
e3
;
e1
=
extremality
<
PFP
>
(
map
,
d
,
position
,
k
,
faceGradient
,
area
)
;
e2
=
extremality
<
PFP
>
(
map
,
d
,
position
,
k
,
faceGradient
,
area
)
;
e3
=
extremality
<
PFP
>
(
map
,
d
,
position
,
k
,
faceGradient
,
area
)
;
/* Stockage des zeros */
if
(
(
e1
<
0
and
e2
>
0
)
or
(
e1
>
0
and
e2
<
0
)
)
{
REAL
alpha
=
abs
(
e1
)
/
(
abs
(
e1
)
+
abs
(
e2
)
)
;
std
::
cout
<<
"alpha : "
<<
alpha
<<
"
\n
"
;
}
if
(
(
e1
<
0
and
e3
>
0
)
or
(
e1
>
0
and
e3
<
0
)
)
{
}
if
(
(
e2
<
0
and
e3
>
0
)
or
(
e2
>
0
and
e3
<
0
)
)
{
}
}
template
<
typename
PFP
>
typename
PFP
::
REAL
extremality
(
typename
PFP
::
MAP
&
map
,
Dart
d
,
const
typename
PFP
::
TVEC3
&
position
,
typename
PFP
::
TREAL
&
k
,
typename
PFP
::
TVEC3
&
faceGradient
,
typename
PFP
::
TREAL
&
area
)
{
typedef
typename
PFP
::
REAL
REAL
;
REAL
a
,
e
;
Traversor2VF
<
typename
PFP
::
MAP
>
trav
(
map
,
d
)
;
for
(
Dart
d2
=
trav
.
begin
();
d2
!=
trav
.
end
();
d2
=
trav
.
next
())
{
a
+=
area
[
d2
]
;
e
+=
area
[
d2
]
*
(
faceGradient
[
d2
]
^
k
[
d
]
)
;
}
return
(
e
/
a
)
;
}
template
<
typename
PFP
>
typename
PFP
::
TVEC3
vertexGradient
(
typename
PFP
::
MAP
&
map
,
Dart
d
,
const
typename
PFP
::
TVEC3
&
position
,
const
typename
PFP
::
TVEC3
&
face_gradient
,
const
typename
PFP
::
TREAL
&
area
)
{
typedef
typename
PFP
::
REAL
REAL
;
typedef
typename
PFP
::
VEC3
VEC3
;
VEC3
G
(
0
)
;
REAL
A
=
0
;
Traversor2VF
<
typename
PFP
::
MAP
>
t
(
map
,
d
)
;
for
(
Dart
d
=
t
.
begin
();
d
!=
t
.
end
();
d
=
t
.
next
())
{
G
+=
area
[
d
]
*
face_gradient
[
d
]
;
A
+=
area
[
d
]
;
}
G
=
G
/
A
;
G
.
normalize
()
;
return
G
;
}
}
// namespace Geometry
}
// namespace Algo
}
// namespace CGoGN
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