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FSL
fslpy
Commits
a5073f9d
Commit
a5073f9d
authored
5 years ago
by
Paul McCarthy
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ENH: transform.decompose accepts 3x3 matrix
parent
077fd7eb
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fsl/utils/transform.py
+11
-6
11 additions, 6 deletions
fsl/utils/transform.py
with
11 additions
and
6 deletions
fsl/utils/transform.py
+
11
−
6
View file @
a5073f9d
...
@@ -178,7 +178,7 @@ def decompose(xform, angles=True):
...
@@ -178,7 +178,7 @@ def decompose(xform, angles=True):
It is assumed that the given transform has no perspective components. Any
It is assumed that the given transform has no perspective components. Any
shears in the affine are discarded.
shears in the affine are discarded.
:arg xform: A ``(4, 4)`` affine transformation matrix.
:arg xform: A
``(3, 3)`` or
``(4, 4)`` affine transformation matrix.
:arg angles: If ``True`` (the default), the rotations are returned
:arg angles: If ``True`` (the default), the rotations are returned
as axis-angles, in radians. Otherwise, the rotation matrix
as axis-angles, in radians. Otherwise, the rotation matrix
...
@@ -187,7 +187,8 @@ def decompose(xform, angles=True):
...
@@ -187,7 +187,8 @@ def decompose(xform, angles=True):
:returns: The following:
:returns: The following:
- A sequence of three scales
- A sequence of three scales
- A sequence of three translations
- A sequence of three translations (all ``0`` if ``xform``
was a ``(3, 3)`` matrix)
- A sequence of three rotations, in radians. Or, if
- A sequence of three rotations, in radians. Or, if
``angles is False``, a rotation matrix.
``angles is False``, a rotation matrix.
"""
"""
...
@@ -198,9 +199,13 @@ def decompose(xform, angles=True):
...
@@ -198,9 +199,13 @@ def decompose(xform, angles=True):
# The next step is to extract the translations. This is trivial;
# The next step is to extract the translations. This is trivial;
# we find t_x = M_{4,1}, t_y = M_{4,2}, and t_z = M_{4,3}. At this
# we find t_x = M_{4,1}, t_y = M_{4,2}, and t_z = M_{4,3}. At this
# point we are left with a 3*3 matrix M' = M_{1..3,1..3}.
# point we are left with a 3*3 matrix M' = M_{1..3,1..3}.
xform
=
xform
.
T
xform
=
xform
.
T
translations
=
xform
[
3
,
:
3
]
xform
=
xform
[:
3
,
:
3
]
if
xform
.
shape
==
(
4
,
4
):
translations
=
xform
[
3
,
:
3
]
xform
=
xform
[:
3
,
:
3
]
else
:
translations
=
np
.
array
([
0
,
0
,
0
])
M1
=
xform
[
0
]
M1
=
xform
[
0
]
M2
=
xform
[
1
]
M2
=
xform
[
1
]
...
@@ -261,7 +266,7 @@ def decompose(xform, angles=True):
...
@@ -261,7 +266,7 @@ def decompose(xform, angles=True):
if
angles
:
rotations
=
rotMatToAxisAngles
(
R
.
T
)
if
angles
:
rotations
=
rotMatToAxisAngles
(
R
.
T
)
else
:
rotations
=
R
.
T
else
:
rotations
=
R
.
T
return
[
sx
,
sy
,
sz
],
translations
,
rotations
return
np
.
array
(
[
sx
,
sy
,
sz
]
)
,
translations
,
rotations
def
rotMatToAffine
(
rotmat
,
origin
=
None
):
def
rotMatToAffine
(
rotmat
,
origin
=
None
):
...
...
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