Fix inconsistencies in examples and many more improvements

This commit is contained in:
Johannes Schönberger
2013-04-27 16:47:33 +02:00
parent 41007b417b
commit d0ee6ade61
40 changed files with 138 additions and 132 deletions
@@ -3,7 +3,7 @@
Comparing edge-based segmentation and region-based segmentation
===============================================================
In this example, we will see how to segment objects from a background. We use
In this example, we will see how to segment objects from a background. We use
the ``coins`` image from ``skimage.data``, which shows several coins outlined
against a darker background.
"""
@@ -108,9 +108,8 @@ closed are not filled correctly, as is the case for one unfilled coin above.
Region-based segmentation
=========================
We therefore try a region-based method using the
watershed transform. First, we find an elevation map using the Sobel gradient of the
image.
We therefore try a region-based method using the watershed transform. First, we
find an elevation map using the Sobel gradient of the image.
"""
@@ -142,7 +141,8 @@ plt.title('markers')
"""
.. image:: PLOT2RST.current_figure
Finally, we use the watershed transform to fill regions of the elevation map starting from the markers determined above:
Finally, we use the watershed transform to fill regions of the elevation map
starting from the markers determined above:
"""
segmentation = morphology.watershed(elevation_map, markers)
@@ -155,8 +155,8 @@ plt.title('segmentation')
"""
.. image:: PLOT2RST.current_figure
This last method works even better, and the coins can be segmented and
labeled individually.
This last method works even better, and the coins can be segmented and labeled
individually.
"""
+3 -1
View File
@@ -13,12 +13,15 @@ thresholding on the gradient magnitude.
The Canny has three adjustable parameters: the width of the Gaussian (the
noisier the image, the greater the width), and the low and high threshold for
the hysteresis thresholding.
"""
import numpy as np
import matplotlib.pyplot as plt
from scipy import ndimage
from skimage import filter
# Generate noisy image of a square
im = np.zeros((128, 128))
im[32:-32, 32:-32] = 1
@@ -52,6 +55,5 @@ plt.title('Canny filter, $\sigma=3$', fontsize=20)
plt.subplots_adjust(wspace=0.02, hspace=0.02, top=0.9,
bottom=0.02, left=0.02, right=0.98)
plt.show()
@@ -29,8 +29,6 @@ original picture in order to detect centers outside the frame.
Its size is extended by two times the larger radius.
"""
import numpy as np
import matplotlib.pyplot as plt
@@ -39,6 +37,7 @@ from skimage.transform import hough_circle
from skimage.feature import peak_local_max
from skimage.draw import circle_perimeter
# Load picture and detect edges
image = data.coins()[0:95, 70:370]
edges = filter.canny(image, sigma=3, low_threshold=10, high_threshold=50)
+2 -3
View File
@@ -15,12 +15,12 @@ Cubes: A High Resolution 3D Surface Construction Algorithm. Computer Graphics
(SIGGRAPH 87 Proceedings) 21(4) July 1987, p. 163-170).
"""
import numpy as np
import matplotlib.pyplot as plt
from skimage import data
from skimage import measure
import numpy as np
import matplotlib.pyplot as plt
# Construct some test data
x, y = np.ogrid[-np.pi:np.pi:100j, -np.pi:np.pi:100j]
@@ -39,4 +39,3 @@ plt.axis('image')
plt.xticks([])
plt.yticks([])
plt.show()
+1 -1
View File
@@ -13,12 +13,12 @@ A good overview of the algorithm is given on `Steve Eddin's blog
<http://blogs.mathworks.com/steve/2011/10/04/binary-image-convex-hull-algorithm-notes/>`__.
"""
import numpy as np
import matplotlib.pyplot as plt
from skimage.morphology import convex_hull_image
image = np.array(
[[0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 0, 0, 0, 0],
+1 -1
View File
@@ -10,7 +10,6 @@ position of corners.
.. [2] http://en.wikipedia.org/wiki/Interest_point_detection
"""
from matplotlib import pyplot as plt
from skimage import data
@@ -18,6 +17,7 @@ from skimage.feature import corner_harris, corner_subpix, corner_peaks
from skimage.transform import warp, AffineTransform
from skimage.draw import ellipse
tform = AffineTransform(scale=(1.3, 1.1), rotation=1, shear=0.7,
translation=(210, 50))
image = warp(data.checkerboard(), tform.inverse, output_shape=(350, 350))
-1
View File
@@ -11,7 +11,6 @@ representations.
In this example a limited number of DAISY descriptors are extracted at a large
scale for illustrative purposes.
"""
from skimage.feature import daisy
from skimage import data
import matplotlib.pyplot as plt
+1 -1
View File
@@ -25,13 +25,13 @@ A bilateral filter is an edge-preserving and noise reducing filter. It averages
pixels based on their spatial closeness and radiometric similarity.
"""
import numpy as np
import matplotlib.pyplot as plt
from skimage import data, color, img_as_float
from skimage.filter import denoise_tv_chambolle, denoise_bilateral
lena = img_as_float(data.lena())
lena = lena[220:300, 220:320]
+1
View File
@@ -13,6 +13,7 @@ import matplotlib.pyplot as plt
from skimage.data import camera
from skimage.filter import roberts, sobel
image = camera()
edge_roberts = roberts(image)
edge_sobel = sobel(image)
+10 -10
View File
@@ -1,22 +1,23 @@
"""
===================
=======
Entropy
===================
=======
"""
from skimage import data
from skimage.filter.rank import entropy
from skimage.morphology import disk
import numpy as np
import matplotlib.pyplot as plt
from skimage import data
from skimage.filter.rank import entropy
from skimage.morphology import disk
# defining a 8- and a 16-bit test images
a8 = data.camera()
a16 = data.camera().astype(np.uint16)*4
a16 = a8.astype(np.uint16) * 4
ent8 = entropy(a8,disk(5)) # pixel value contain 10x the local entropy
ent16 = entropy(a16,disk(5)) # pixel value contain 1000x the local entropy
ent8 = entropy(a8, disk(5)) # pixel value contain 10x the local entropy
ent16 = entropy(a16, disk(5)) # pixel value contain 1000x the local entropy
# display results
plt.figure(figsize=(10, 10))
@@ -41,4 +42,3 @@ plt.imshow(ent16, cmap=plt.cm.jet)
plt.xlabel('entropy*1000')
plt.colorbar()
plt.show()
+2 -3
View File
@@ -17,13 +17,12 @@ that fall within the 2nd and 98th percentiles [2]_.
.. [2] http://homepages.inf.ed.ac.uk/rbf/HIPR2/stretch.htm
"""
import matplotlib.pyplot as plt
import numpy as np
from skimage import data, img_as_float
from skimage import exposure
import matplotlib.pyplot as plt
import numpy as np
def plot_img_and_hist(img, axes, bins=256):
"""Plot an image along with its histogram and cumulative histogram.
+1 -1
View File
@@ -12,11 +12,11 @@ kernels. The mean and variance of the filtered images are then used as features
for classification, which is based on the least squared error for simplicity.
"""
import matplotlib
import matplotlib.pyplot as plt
import numpy as np
from scipy import ndimage as nd
from skimage import data
from skimage.util import img_as_float
from skimage.filter import gabor_kernel
-1
View File
@@ -35,7 +35,6 @@ is not rocket science.
Interaction, and Functional Architecture in the Cat's Visual Cortex,
J. Physiol. 160 pp. 106-154 1962
"""
import numpy as np
from scipy.cluster.vq import kmeans2
from scipy import ndimage as ndi
+2 -1
View File
@@ -19,10 +19,11 @@ this example) would be to train a classifier, such as logistic
regression, to label image patches from new images.
"""
import matplotlib.pyplot as plt
from skimage.feature import greycomatrix, greycoprops
from skimage import data
import matplotlib.pyplot as plt
PATCH_SIZE = 21
+4 -3
View File
@@ -1,4 +1,4 @@
r'''
"""
===============================
Histogram of Oriented Gradients
===============================
@@ -77,12 +77,13 @@ References
.. [2] David G. Lowe, "Distinctive image features from scale-invariant
keypoints," International Journal of Computer Vision, 60, 2 (2004),
pp. 91-110.
'''
"""
import matplotlib.pyplot as plt
from skimage.feature import hog
from skimage import data, color, exposure
import matplotlib.pyplot as plt
image = color.rgb2gray(data.lena())
+1
View File
@@ -10,6 +10,7 @@ image represent the maximum and minimum possible values of the reconstructed
image.
We start with an image containing both peaks and holes:
"""
import matplotlib.pyplot as plt
+31 -34
View File
@@ -1,50 +1,47 @@
'''
"""
===============
Hough transform
===============
The Hough transform in its simplest form is a `method to detect
straight lines <http://en.wikipedia.org/wiki/Hough_transform>`__.
The Hough transform in its simplest form is a `method to detect straight lines
<http://en.wikipedia.org/wiki/Hough_transform>`__.
In the following example, we construct an image with a line
intersection. We then use the Hough transform to explore a parameter
space for straight lines that may run through the image.
In the following example, we construct an image with a line intersection. We
then use the Hough transform to explore a parameter space for straight lines
that may run through the image.
Algorithm overview
------------------
Usually, lines are parameterised as :math:`y = mx + c`, with a
gradient :math:`m` and y-intercept `c`. However, this would mean that
:math:`m` goes to infinity for vertical lines. Instead, we therefore
construct a segment perpendicular to the line, leading to the origin.
The line is represented by the length of that segment, :math:`r`, and
the angle it makes with the x-axis, :math:`\theta`.
Usually, lines are parameterised as :math:`y = mx + c`, with a gradient
:math:`m` and y-intercept `c`. However, this would mean that :math:`m` goes to
infinity for vertical lines. Instead, we therefore construct a segment
perpendicular to the line, leading to the origin. The line is represented by the
length of that segment, :math:`r`, and the angle it makes with the x-axis,
:math:`\theta`.
The Hough transform constructs a histogram array representing the
parameter space (i.e., an :math:`M \times N` matrix, for :math:`M`
different values of the radius and :math:`N` different values of
:math:`\theta`). For each parameter combination, :math:`r` and
:math:`\theta`, we then find the number of non-zero pixels in the
input image that would fall close to the corresponding line, and
The Hough transform constructs a histogram array representing the parameter
space (i.e., an :math:`M \times N` matrix, for :math:`M` different values of the
radius and :math:`N` different values of :math:`\theta`). For each parameter
combination, :math:`r` and :math:`\theta`, we then find the number of non-zero
pixels in the input image that would fall close to the corresponding line, and
increment the array at position :math:`(r, \theta)` appropriately.
We can think of each non-zero pixel "voting" for potential line
candidates. The local maxima in the resulting histogram indicates the
parameters of the most probably lines. In our example, the maxima
occur at 45 and 135 degrees, corresponding to the normal vector
angles of each line.
We can think of each non-zero pixel "voting" for potential line candidates. The
local maxima in the resulting histogram indicates the parameters of the most
probably lines. In our example, the maxima occur at 45 and 135 degrees,
corresponding to the normal vector angles of each line.
Another approach is the Progressive Probabilistic Hough Transform
[1]_. It is based on the assumption that using a random subset of
voting points give a good approximation to the actual result, and that
lines can be extracted during the voting process by walking along
connected components. This returns the beginning and end of each
line segment, which is useful.
Another approach is the Progressive Probabilistic Hough Transform [1]_. It is
based on the assumption that using a random subset of voting points give a good
approximation to the actual result, and that lines can be extracted during the
voting process by walking along connected components. This returns the beginning
and end of each line segment, which is useful.
The function `probabilistic_hough` has three parameters: a general
threshold that is applied to the Hough accumulator, a minimum line
length and the line gap that influences line merging. In the example
below, we find lines longer than 10 with a gap less than 3 pixels.
The function `probabilistic_hough` has three parameters: a general threshold
that is applied to the Hough accumulator, a minimum line length and the line gap
that influences line merging. In the example below, we find lines longer than 10
with a gap less than 3 pixels.
References
----------
@@ -57,7 +54,7 @@ References
Detect Lines and Curves in Pictures," Comm. ACM, Vol. 15,
pp. 11-15 (January, 1972)
'''
"""
from skimage.transform import (hough_line, hough_line_peaks,
probabilistic_hough_line)
+4 -3
View File
@@ -3,9 +3,9 @@
Immunohistochemical staining colors separation
==============================================
In this example we separate the immunohistochemical (IHC) staining
from the hematoxylin counterstaining. The separation is achieved with the
method described in [1]_, known as "color deconvolution".
In this example we separate the immunohistochemical (IHC) staining from the
hematoxylin counterstaining. The separation is achieved with the method
described in [1]_, known as "color deconvolution".
The IHC staining expression of the FHL2 protein is here revealed with
Diaminobenzidine (DAB) which gives a brown color.
@@ -15,6 +15,7 @@ Diaminobenzidine (DAB) which gives a brown color.
staining by color deconvolution.," Analytical and quantitative
cytology and histology / the International Academy of Cytology [and]
American Society of Cytology, vol. 23, no. 4, pp. 291-9, Aug. 2001.
"""
import matplotlib.pyplot as plt
+2 -2
View File
@@ -8,8 +8,8 @@ segmentations. The `skimage.segmentation.join_segmentations` function
computes the join of two segmentations, in which a pixel is placed in
the same segment if and only if it is in the same segment in _both_
segmentations.
"""
"""
import numpy as np
from scipy import ndimage as nd
import matplotlib.pyplot as plt
@@ -18,9 +18,9 @@ import matplotlib as mpl
from skimage.filter import sobel
from skimage.segmentation import slic, join_segmentations
from skimage.morphology import watershed
from skimage import data
coins = data.coins()
# make segmentation using edge-detection and watershed
-1
View File
@@ -12,7 +12,6 @@ steps are applied:
4. Measure image regions to filter small objects
"""
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.patches as mpatches
+1 -1
View File
@@ -7,8 +7,8 @@ In this example, we will see how to classify textures based on LBP (Local
Binary Pattern). The histogram of the LBP result is a good measure to classify
textures. For simplicity the histogram distributions are then tested against
each other using the Kullback-Leibler-Divergence.
"""
"""
import numpy as np
import matplotlib
import matplotlib.pyplot as plt
+13 -7
View File
@@ -1,14 +1,20 @@
"""
===============================
============================
Local Histogram Equalization
===============================
============================
This examples enhances an image with low contrast, using a method called
*local histogram equalization*, which "spreads out the most frequent intensity
values" in an image .
The equalized image [1]_ has a roughly linear cumulative distribution function for each pixel neighborhood.
The local version [2]_ of the histogram equalization emphasized every local graylevel variations.
This examples enhances an image with low contrast, using a method called *local
histogram equalization*, which spreads out the most frequent intensity values in
an image.
The equalized image [1]_ has a roughly linear cumulative distribution function
for each pixel neighborhood.
The local version [2]_ of the histogram equalization emphasized every local
graylevel variations.
References
----------
.. [1] http://en.wikipedia.org/wiki/Histogram_equalization
.. [2] http://en.wikipedia.org/wiki/Adaptive_histogram_equalization
+10 -8
View File
@@ -1,14 +1,16 @@
"""
=====================
====================
Local Otsu Threshold
=====================
This example shows how Otsu's threshold [1]_ method can be applied locally.
For each pixel, an "optimal" threshold is determined by maximizing the variance between two classes of pixels
of the local neighborhood defined by a structuring element.
====================
This example shows how Otsu's threshold [1]_ method can be applied locally. For
each pixel, an "optimal" threshold is determined by maximizing the variance
between two classes of pixels of the local neighborhood defined by a structuring
element.
The example compares the local threshold with the global threshold.
.. note: local threshold is much slower than global one.
.. note: local is much slower than global thresholding
.. [1] http://en.wikipedia.org/wiki/Otsu's_method
@@ -42,8 +44,8 @@ plt.xlabel('local Otsu ($radius=%d$)' % radius)
plt.colorbar()
plt.subplot(2, 2, 3)
plt.imshow(p8 >= loc_otsu, cmap=plt.cm.gray)
plt.xlabel('original>=local Otsu' % t_glob_otsu)
plt.xlabel('original >= local Otsu' % t_glob_otsu)
plt.subplot(2, 2, 4)
plt.imshow(glob_otsu, cmap=plt.cm.gray)
plt.xlabel('global Otsu ($t=%d$)' % t_glob_otsu)
plt.xlabel('global Otsu ($t = %d$)' % t_glob_otsu)
plt.show()
+2 -2
View File
@@ -1,7 +1,7 @@
"""
================================
===============================
Markers for watershed transform
================================
===============================
The watershed is a classical algorithm used for **segmentation**, that
is, for separating different objects in an image.
+5 -7
View File
@@ -3,7 +3,7 @@
Medial axis skeletonization
===========================
The medial axis of an object is the set of all points having more than one
The medial axis of an object is the set of all points having more than one
closest point on the object's boundary. It is often called the **topological
skeleton**, because it is a 1-pixel wide skeleton of the object, with the same
connectivity as the original object.
@@ -15,11 +15,11 @@ argument ``return_distance=True``), it is possible to compute the distance to
the background for all points of the medial axis with this function. This gives
an estimate of the local width of the objects.
For a skeleton with fewer branches, there exists another skeletonization
For a skeleton with fewer branches, there exists another skeletonization
algorithm in ``skimage``: ``skimage.morphology.skeletonize``, that computes
a skeleton by iterative morphological thinnings.
"""
"""
import numpy as np
from scipy import ndimage
from skimage.morphology import medial_axis
@@ -33,7 +33,7 @@ def microstructure(l=256):
Parameters
----------
l: int, optional
l: int, optional
linear size of the returned image
"""
@@ -64,7 +64,5 @@ plt.imshow(dist_on_skel, cmap=plt.cm.spectral, interpolation='nearest')
plt.contour(data, [0.5], colors='w')
plt.axis('off')
plt.subplots_adjust(hspace=0.01, wspace=0.01, top=1, bottom=0, left=0,
right=1)
plt.subplots_adjust(hspace=0.01, wspace=0.01, top=1, bottom=0, left=0, right=1)
plt.show()
-2
View File
@@ -14,7 +14,6 @@ the intra-class variance.
.. [1] http://en.wikipedia.org/wiki/Otsu's_method
"""
import matplotlib.pyplot as plt
from skimage.data import camera
@@ -42,4 +41,3 @@ plt.title('Thresholded')
plt.axis('off')
plt.show()
+2 -3
View File
@@ -1,7 +1,7 @@
"""
===============================================================================
====================
Finding local maxima
===============================================================================
====================
The ``peak_local_max`` function returns the coordinates of local peaks (maxima)
in an image. A maximum filter is used for finding local maxima. This operation
@@ -47,4 +47,3 @@ plt.subplots_adjust(wspace=0.02, hspace=0.02, top=0.9,
bottom=0.02, left=0.02, right=0.98)
plt.show()
+1 -1
View File
@@ -4,8 +4,8 @@ Piecewise Affine Transformation
===============================
This example shows how to use the Piecewise Affine Transformation.
"""
"""
import numpy as np
import matplotlib.pyplot as plt
from skimage.transform import PiecewiseAffineTransform, warp
+1 -1
View File
@@ -5,8 +5,8 @@ Approximate and subdivide polygons
This example shows how to approximate (Douglas-Peucker algorithm) and subdivide
(B-Splines) polygonal chains.
"""
"""
import numpy as np
import matplotlib.pyplot as plt
from skimage.draw import ellipse
-1
View File
@@ -9,7 +9,6 @@ implement algorithms for denoising, texture discrimination, and scale- invariant
detection.
"""
import numpy as np
import matplotlib.pyplot as plt
@@ -18,13 +18,14 @@ values, and use the random walker for the segmentation.
.. [1] *Random walks for image segmentation*, Leo Grady, IEEE Trans. Pattern
Anal. Mach. Intell. 2006 Nov; 28(11):1768-83
"""
"""
import numpy as np
from scipy import ndimage
from skimage.segmentation import random_walker
import matplotlib.pyplot as plt
from skimage.segmentation import random_walker
def microstructure(l=256):
"""
+3 -2
View File
@@ -11,14 +11,15 @@ First we try reconstruction by dilation starting at the edges of the image. We
initialize a seed image to the minimum intensity of the image, and set its
border to be the pixel values in the original image. These maximal pixels will
get dilated in order to reconstruct the background image.
"""
import numpy as np
from scipy.ndimage import gaussian_filter
import matplotlib.pyplot as plt
from skimage import data
from skimage import img_as_float
from skimage.morphology import reconstruction
from scipy.ndimage import gaussian_filter
import matplotlib.pyplot as plt
# Convert to float: Important for subtraction later which won't work with uint8
image = img_as_float(data.coins())
+1 -1
View File
@@ -4,8 +4,8 @@ Measure region properties
=========================
This example shows how to measure properties of labelled image regions.
"""
"""
import math
import matplotlib.pyplot as plt
import numpy as np
+2 -2
View File
@@ -4,17 +4,17 @@ Fill shapes
===========
This example shows how to fill several different shapes:
* line
* polygon
* circle
* ellipse
"""
import numpy as np
import matplotlib.pyplot as plt
from skimage.draw import line, polygon, circle, circle_perimeter, ellipse
import numpy as np
img = np.zeros((500, 500, 3), 'uint8')
+4 -2
View File
@@ -30,9 +30,11 @@ image[10:-10, -100:-10] = 1
# foreground object 2
rs, cs = draw.bresenham(250, 150, 10, 280)
for i in range(10): image[rs+i, cs] = 1
for i in range(10):
image[rs + i, cs] = 1
rs, cs = draw.bresenham(10, 150, 250, 280)
for i in range(20): image[rs+i, cs] = 1
for i in range(20):
image[rs + i, cs] = 1
# foreground object 3
ir, ic = np.indices(image.shape)
+4 -4
View File
@@ -1,4 +1,4 @@
'''
"""
===========================
Structural similarity index
===========================
@@ -20,12 +20,13 @@ but with very different mean structural similarity indices.
Transactions on Image Processing, vol. 13, no. 4, pp. 600-612,
Apr. 2004.
'''
"""
import numpy as np
import matplotlib.pyplot as plt
from skimage import data, color, io, exposure, img_as_float
from skimage.measure import structural_similarity as ssim
import numpy as np
img = img_as_float(data.camera())
rows, cols = img.shape
@@ -39,7 +40,6 @@ def mse(x, y):
img_noise = img + noise
img_const = img + abs(noise)
import matplotlib.pyplot as plt
f, (ax0, ax1, ax2) = plt.subplots(1, 3)
mse_none = mse(img, img)
+5 -4
View File
@@ -8,7 +8,7 @@ effect. This example describes the implementation of this transform in
``skimage``, as well as the underlying warp mechanism.
Image warping
`````````````
-------------
When applying a geometric transformation on an image, we typically make use of
a reverse mapping, i.e., for each pixel in the output image, we compute its
corresponding position in the input. The reason is that, if we were to do it
@@ -19,7 +19,7 @@ image, and even if that position is non-integer, we may use interpolation to
compute the corresponding image value.
Performing a reverse mapping
````````````````````````````
----------------------------
To perform a geometric warp in ``skimage``, you simply need to provide the
reverse mapping to the ``skimage.transform.warp`` function. E.g., consider the
case where we would like to shift an image 50 pixels to the left. The reverse
@@ -35,7 +35,7 @@ The corresponding call to warp is::
warp(image, shift_left)
The swirl transformation
````````````````````````
------------------------
Consider the coordinate :math:`(x, y)` in the output image. The reverse
mapping for the swirl transformation first computes, relative to a center
:math:`(x_0, y_0)`, its polar coordinates,
@@ -63,12 +63,13 @@ the swirl extent in pixels, and ``rotation`` adds a rotation angle. The
transformation of ``radius`` into :math:`r` is to ensure that the
transformation decays to :math:`\approx 1/1000^{\mathsf{th}}` within the
specified radius.
"""
import matplotlib.pyplot as plt
from skimage import data
from skimage.transform import swirl
import matplotlib.pyplot as plt
image = data.checkerboard()
swirled = swirl(image, rotation=0, strength=10, radius=120, order=2)
+3 -2
View File
@@ -17,13 +17,15 @@ the template.
.. [1] J. P. Lewis, "Fast Normalized Cross-Correlation", Industrial Light and
Magic.
"""
"""
import numpy as np
import matplotlib.pyplot as plt
from skimage import data
from skimage.feature import match_template
image = data.coins()
coin = image[170:220, 75:130]
@@ -53,4 +55,3 @@ ax3.autoscale(False)
ax3.plot(x, y, 'o', markeredgecolor='r', markerfacecolor='none', markersize=10)
plt.show()
+1 -1
View File
@@ -12,8 +12,8 @@ blocks. Then, on each block, we either pool the mean, the max or the
median value of that block. The results are displayed altogether, along
with a spline interpolation of order 3 rescaling of the original `lena`
image.
"""
"""
import numpy as np
from scipy import ndimage as ndi
from matplotlib import pyplot as plt
+3 -3
View File
@@ -24,13 +24,14 @@ See Wikipedia_ for more details on the algorithm.
.. _Wikipedia: http://en.wikipedia.org/wiki/Watershed_(image_processing)
"""
import numpy as np
import matplotlib.pyplot as plt
from scipy import ndimage
from skimage.morphology import watershed
from skimage.feature import peak_local_max
# Generate an initial image with two overlapping circles
x, y = np.indices((80, 80))
x1, y1, x2, y2 = 28, 28, 44, 52
@@ -41,7 +42,6 @@ image = np.logical_or(mask_circle1, mask_circle2)
# Now we want to separate the two objects in image
# Generate the markers as local maxima of the distance to the background
from scipy import ndimage
distance = ndimage.distance_transform_edt(image)
local_maxi = peak_local_max(distance, indices=False, footprint=np.ones((3, 3)),
labels=image)