Refactor image warps

* Fix cval bug in interpolation which was ignored
* Remove fast_homography as standalone function and automatically include
  functionality in warp
* Fix bug in warp_coords for graylevel images
* move warp functions to warp file
This commit is contained in:
Johannes Schönberger
2012-08-27 13:31:33 +02:00
parent 77f1e0ba47
commit a6532a8dae
7 changed files with 245 additions and 214 deletions
+3 -183
View File
@@ -1,30 +1,5 @@
import math
import numpy as np
from scipy import ndimage
from skimage.util import img_as_float
def _stackcopy(a, b):
"""Copy b into each color layer of a, such that::
a[:,:,0] = a[:,:,1] = ... = b
Parameters
----------
a : (M, N) or (M, N, P) ndarray
Target array.
b : (M, N)
Source array.
Notes
-----
Color images are stored as an ``(M, N, 3)`` or ``(M, N, 4)`` arrays.
"""
if a.ndim == 3:
a[:] = b[:, :, np.newaxis]
else:
a[:] = b
class GeometricTransform(object):
@@ -603,7 +578,7 @@ class PolynomialTransform(GeometricTransform):
'then apply the forward transformation.')
TRANSFORMATIONS = {
TRANSFORMS = {
'similarity': SimilarityTransform,
'affine': AffineTransform,
'projective': ProjectiveTransform,
@@ -669,11 +644,11 @@ def estimate_transform(ttype, src, dst, **kwargs):
"""
ttype = ttype.lower()
if ttype not in TRANSFORMATIONS:
if ttype not in TRANSFORMS:
raise ValueError('the transformation type \'%s\' is not'
'implemented' % ttype)
tform = TRANSFORMATIONS[ttype]()
tform = TRANSFORMS[ttype]()
tform.estimate(src, dst, **kwargs)
return tform
@@ -696,158 +671,3 @@ def matrix_transform(coords, matrix):
"""
return ProjectiveTransform(matrix)(coords)
def warp_coords(orows, ocols, bands, coord_transform_fn,
dtype=np.float64):
"""Build the source coordinates for the output pixels of an image warp.
Parameters
----------
orows : int
Number of output rows.
ocols : int
Number of output columns.
bands : int
Number of color bands (aka channels).
coord_transform_fn : callable like GeometricTransform.inverse
Return input coordinates for given output coordinates.
dtype : np.dtype or string
dtype for return value (sane choices: float32 or float64)
Returns
-------
coords : (3, orows, ocols, bands) array of dtype `dtype`
Coordinates for `scipy.ndimage.map_coordinates`, that will yield
an image of shape (orows, ocols, bands) by drawing from source
points according to the `coord_transform_fn`.
Notes
-----
This is a lower-level routine that produces the source coordinates used by
`warp()`.
It is provided separately from `warp` to give additional flexibility to
users who would like, for example, to re-use a particular coordinate
mapping, to use specific dtypes at various points along the the
image-warping process, or to implement different post-processing logic
than `warp` performs after the call to `ndimage.map_coordinates`.
Examples
--------
Produce a coordinate map that Shifts an image to the right:
>>> from skimage import data
>>> from scipy.ndimage import map_coordinates
>>>
>>> def shift_right(xy):
... xy[:, 0] -= 10
... return xy
>>>
>>> coords = warp_coords(30, 30, 3, shift_right)
>>> image = data.lena().astype(np.float32)
>>> warped_image = map_coordinates(image, coords)
"""
coords = np.empty((3, orows, ocols, bands), dtype=dtype)
# Reshape grid coordinates into a (P, 2) array of (x, y) pairs
tf_coords = np.indices((ocols, orows), dtype=dtype).reshape(2, -1).T
# Map each (x, y) pair to the source image according to
# the user-provided mapping
tf_coords = coord_transform_fn(tf_coords)
# Reshape back to a (2, M, N) coordinate grid
tf_coords = tf_coords.T.reshape((-1, ocols, orows)).swapaxes(1, 2)
# Place the y-coordinate mapping
_stackcopy(coords[1, ...], tf_coords[0, ...])
# Place the x-coordinate mapping
_stackcopy(coords[0, ...], tf_coords[1, ...])
# colour-coordinate mapping
coords[2, ...] = range(bands)
return coords
def warp(image, inverse_map=None, map_args={}, output_shape=None, order=1,
mode='constant', cval=0., reverse_map=None):
"""Warp an image according to a given coordinate transformation.
Parameters
----------
image : 2-D array
Input image.
inverse_map : transformation object, callable xy = f(xy, **kwargs)
Inverse coordinate map. A function that transforms a (N, 2) array of
``(x, y)`` coordinates in the *output image* into their corresponding
coordinates in the *source image* (e.g. a transformation object or its
inverse).
map_args : dict, optional
Keyword arguments passed to `inverse_map`.
output_shape : tuple (rows, cols)
Shape of the output image generated.
order : int
Order of splines used in interpolation. See
`scipy.ndimage.map_coordinates` for detail.
mode : string
How to handle values outside the image borders. See
`scipy.ndimage.map_coordinates` for detail.
cval : float
Used in conjunction with mode 'constant', the value outside
the image boundaries.
Examples
--------
Shift an image to the right:
>>> from skimage import data
>>> image = data.camera()
>>>
>>> def shift_right(xy):
... xy[:, 0] -= 10
... return xy
>>>
>>> warp(image, shift_right)
"""
# Backward API compatibility
if reverse_map is not None:
inverse_map = reverse_map
if image.ndim < 2:
raise ValueError("Input must have more than 1 dimension.")
image = np.atleast_3d(img_as_float(image))
ishape = np.array(image.shape)
bands = ishape[2]
if output_shape is None:
output_shape = ishape
rows, cols = output_shape[:2]
def coord_transform_fn(*args):
return inverse_map(*args, **map_args)
coords = warp_coords(rows, cols, bands, coord_transform_fn)
# Prefilter not necessary for order 1 interpolation
prefilter = order > 1
mapped = ndimage.map_coordinates(image, coords, prefilter=prefilter,
mode=mode, order=order, cval=cval)
# The spline filters sometimes return results outside [0, 1],
# so clip to ensure valid data
clipped = np.clip(mapped, 0, 1)
if mode == 'constant' and not (0 <= cval <= 1):
clipped[mapped == cval] = cval
# Remove singleton dim introduced by atleast_3d
return clipped.squeeze()