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scikit-image/skimage/transform/_warps.py
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2013-06-12 22:08:43 +02:00

286 lines
8.9 KiB
Python

import numpy as np
from scipy import ndimage
from ._geometric import warp, SimilarityTransform, AffineTransform
def resize(image, output_shape, order=1, mode='constant', cval=0.):
"""Resize image to match a certain size.
Parameters
----------
image : ndarray
Input image.
output_shape : tuple or ndarray
Size of the generated output image `(rows, cols[, dim])`. If `dim` is
not provided, the number of channels is preserved. In case the number
of input channels does not equal the number of output channels a
3-dimensional interpolation is applied.
Returns
-------
resized : ndarray
Resized version of the input.
Other parameters
----------------
order : int, optional
The order of the spline interpolation, default is 3. The order has to
be in the range 0-5.
mode : string, optional
Points outside the boundaries of the input are filled according
to the given mode ('constant', 'nearest', 'reflect' or 'wrap').
cval : float, optional
Used in conjunction with mode 'constant', the value outside
the image boundaries.
Examples
--------
>>> from skimage import data
>>> from skimage.transform import resize
>>> image = data.camera()
>>> resize(image, (100, 100)).shape
(100, 100)
"""
rows, cols = output_shape[0], output_shape[1]
orig_rows, orig_cols = image.shape[0], image.shape[1]
row_scale = float(orig_rows) / rows
col_scale = float(orig_cols) / cols
# 3-dimensional interpolation
if len(output_shape) == 3 and (image.ndim == 2
or output_shape[2] != image.shape[2]):
dim = output_shape[2]
orig_dim = 1 if image.ndim == 2 else image.shape[2]
dim_scale = float(orig_dim) / dim
map_rows, map_cols, map_dims = np.mgrid[:rows, :cols, :dim]
map_rows = row_scale * (map_rows + 0.5) - 0.5
map_cols = col_scale * (map_cols + 0.5) - 0.5
map_dims = dim_scale * (map_dims + 0.5) - 0.5
coord_map = np.array([map_rows, map_cols, map_dims])
out = ndimage.map_coordinates(image, coord_map, order=order, mode=mode,
cval=cval)
else: # 2-dimensional interpolation
# 3 control points necessary to estimate exact AffineTransform
src_corners = np.array([[1, 1], [1, rows], [cols, rows]]) - 1
dst_corners = np.zeros(src_corners.shape, dtype=np.double)
# take into account that 0th pixel is at position (0.5, 0.5)
dst_corners[:, 0] = col_scale * (src_corners[:, 0] + 0.5) - 0.5
dst_corners[:, 1] = row_scale * (src_corners[:, 1] + 0.5) - 0.5
tform = AffineTransform()
tform.estimate(src_corners, dst_corners)
out = warp(image, tform, output_shape=output_shape, order=order,
mode=mode, cval=cval)
return out
def rescale(image, scale, order=1, mode='constant', cval=0.):
"""Scale image by a certain factor.
Parameters
----------
image : ndarray
Input image.
scale : {float, tuple of floats}
Scale factors. Separate scale factors can be defined as
`(row_scale, col_scale)`.
Returns
-------
scaled : ndarray
Scaled version of the input.
Other parameters
----------------
order : int, optional
The order of the spline interpolation, default is 3. The order has to
be in the range 0-5.
mode : string, optional
Points outside the boundaries of the input are filled according
to the given mode ('constant', 'nearest', 'reflect' or 'wrap').
cval : float, optional
Used in conjunction with mode 'constant', the value outside
the image boundaries.
Examples
--------
>>> from skimage import data
>>> from skimage.transform import rescale
>>> image = data.camera()
>>> rescale(image, 0.1).shape
(51, 51)
>>> rescale(image, 0.5).shape
(256, 256)
"""
try:
row_scale, col_scale = scale
except TypeError:
row_scale = col_scale = scale
orig_rows, orig_cols = image.shape[0], image.shape[1]
rows = np.round(row_scale * orig_rows)
cols = np.round(col_scale * orig_cols)
output_shape = (rows, cols)
return resize(image, output_shape, order=order, mode=mode, cval=cval)
def rotate(image, angle, resize=False, order=1, mode='constant', cval=0.):
"""Rotate image by a certain angle around its center.
Parameters
----------
image : ndarray
Input image.
angle : float
Rotation angle in degrees in counter-clockwise direction.
resize : bool, optional
Determine whether the shape of the output image will be automatically
calculated, so the complete rotated image exactly fits. Default is
False.
Returns
-------
rotated : ndarray
Rotated version of the input.
Other parameters
----------------
order : int, optional
The order of the spline interpolation, default is 3. The order has to
be in the range 0-5.
mode : string, optional
Points outside the boundaries of the input are filled according
to the given mode ('constant', 'nearest', 'reflect' or 'wrap').
cval : float, optional
Used in conjunction with mode 'constant', the value outside
the image boundaries.
Examples
--------
>>> from skimage import data
>>> from skimage.transform import rotate
>>> image = data.camera()
>>> rotate(image, 2).shape
(512, 512)
>>> rotate(image, 2, resize=True).shape
(530, 530)
>>> rotate(image, 90, resize=True).shape
(512, 512)
"""
rows, cols = image.shape[0], image.shape[1]
# rotation around center
translation = np.array((cols, rows)) / 2. - 0.5
tform1 = SimilarityTransform(translation=-translation)
tform2 = SimilarityTransform(rotation=np.deg2rad(angle))
tform3 = SimilarityTransform(translation=translation)
tform = tform1 + tform2 + tform3
output_shape = None
if resize:
# determine shape of output image
corners = np.array([[1, 1], [1, rows], [cols, rows], [cols, 1]])
corners = tform(corners - 1)
minc = corners[:, 0].min()
minr = corners[:, 1].min()
maxc = corners[:, 0].max()
maxr = corners[:, 1].max()
out_rows = maxr - minr + 1
out_cols = maxc - minc + 1
output_shape = np.ceil((out_rows, out_cols))
# fit output image in new shape
translation = ((cols - out_cols) / 2., (rows - out_rows) / 2.)
tform4 = SimilarityTransform(translation=translation)
tform = tform4 + tform
return warp(image, tform, output_shape=output_shape, order=order,
mode=mode, cval=cval)
def _swirl_mapping(xy, center, rotation, strength, radius):
x, y = xy.T
x0, y0 = center
rho = np.sqrt((x - x0) ** 2 + (y - y0) ** 2)
# Ensure that the transformation decays to approximately 1/1000-th
# within the specified radius.
radius = radius / 5 * np.log(2)
theta = rotation + strength * \
np.exp(-rho / radius) + \
np.arctan2(y - y0, x - x0)
xy[..., 0] = x0 + rho * np.cos(theta)
xy[..., 1] = y0 + rho * np.sin(theta)
return xy
def swirl(image, center=None, strength=1, radius=100, rotation=0,
output_shape=None, order=1, mode='constant', cval=0):
"""Perform a swirl transformation.
Parameters
----------
image : ndarray
Input image.
center : (x,y) tuple or (2,) ndarray, optional
Center coordinate of transformation.
strength : float, optional
The amount of swirling applied.
radius : float, optional
The extent of the swirl in pixels. The effect dies out
rapidly beyond `radius`.
rotation : float, optional
Additional rotation applied to the image.
Returns
-------
swirled : ndarray
Swirled version of the input.
Other parameters
----------------
output_shape : tuple (rows, cols), optional
Shape of the output image generated. By default the shape of the input
image is preserved.
order : int, optional
The order of the spline interpolation, default is 3. The order has to
be in the range 0-5.
mode : string, optional
Points outside the boundaries of the input are filled according
to the given mode ('constant', 'nearest', 'reflect' or 'wrap').
cval : float, optional
Used in conjunction with mode 'constant', the value outside
the image boundaries.
"""
if center is None:
center = np.array(image.shape)[:2] / 2
warp_args = {'center': center,
'rotation': rotation,
'strength': strength,
'radius': radius}
return warp(image, _swirl_mapping, map_args=warp_args,
output_shape=output_shape,
order=order, mode=mode, cval=cval)