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Merge pull request #937 from sciunto/doc

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Fix typo in SimilarityTransform docstring
This commit is contained in:
Stefan van der Walt
2014-03-16 21:51:21 +02:00
parent 3102dcad8d 11725c9396
commit aaa2257345
1 changed files with 10 additions and 10 deletions
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skimage/transform/_geometric.py
+10 -10
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@@ -489,11 +489,11 @@ class PiecewiseAffineTransform(GeometricTransform):
class SimilarityTransform(ProjectiveTransform):
"""2D similarity transformation of the form::
X = a0*x - b0*y + a1 =
= m*x*cos(rotation) + m*y*sin(rotation) + a1
X = a0 * x - b0 * y + a1 =
= m * x * cos(rotation) - m * y * sin(rotation) + a1
Y = b0*x + a0*y + b1 =
= m*x*sin(rotation) + m*y*cos(rotation) + b1
Y = b0 * x + a0 * y + b1 =
= m * x * sin(rotation) + m * y * cos(rotation) + b1
where ``m`` is a zoom factor and the homogeneous transformation matrix is::
@@ -560,13 +560,13 @@ class SimilarityTransform(ProjectiveTransform):
The transformation is defined as::
X = a0*x - b0*y + a1
Y = b0*x + a0*y + b1
X = a0 * x - b0 * y + a1
Y = b0 * x + a0 * y + b1
These equations can be transformed to the following form::
0 = a0*x - b0*y + a1 - X
0 = b0*x + a0*y + b1 - Y
0 = a0 * x - b0 * y + a1 - X
0 = b0 * x + a0 * y + b1 - Y
which exist for each set of corresponding points, so we have a set of
N * 2 equations. The coefficients appear linearly so we can write
@@ -615,8 +615,8 @@ class SimilarityTransform(ProjectiveTransform):
a0, a1, b0, b1 = - V[-1, :-1] / V[-1, -1]
self.params = np.array([[a0, -b0, a1],
[b0, a0, b1],
[ 0, 0, 1]])
[b0, a0, b1],
[ 0, 0, 1]])
@property
def scale(self):