scipy.ndimage.affine_transform¶

scipy.ndimage.
affine_transform
(input, matrix, offset=0.0, output_shape=None, output=None, order=3, mode='constant', cval=0.0, prefilter=True)[source]¶ Apply an affine transformation.
Given an output image pixel index vector
o
, the pixel value is determined from the input image at positionnp.dot(matrix, o) + offset
.Parameters:  input : array_like
The input array.
 matrix : ndarray
The inverse coordinate transformation matrix, mapping output coordinates to input coordinates. If
ndim
is the number of dimensions ofinput
, the given matrix must have one of the following shapes:(ndim, ndim)
: the linear transformation matrix for each output coordinate.(ndim,)
: assume that the 2D transformation matrix is diagonal, with the diagonal specified by the given value. A more efficient algorithm is then used that exploits the separability of the problem.(ndim + 1, ndim + 1)
: assume that the transformation is specified using homogeneous coordinates [1]. In this case, any value passed tooffset
is ignored.(ndim, ndim + 1)
: as above, but the bottom row of a homogeneous transformation matrix is always[0, 0, ..., 1]
, and may be omitted.
 offset : float or sequence, optional
The offset into the array where the transform is applied. If a float, offset is the same for each axis. If a sequence, offset should contain one value for each axis.
 output_shape : tuple of ints, optional
Shape tuple.
 output : array or dtype, optional
The array in which to place the output, or the dtype of the returned array. By default an array of the same dtype as input will be created.
 order : int, optional
The order of the spline interpolation, default is 3. The order has to be in the range 05.
 mode : {‘reflect’, ‘constant’, ‘nearest’, ‘mirror’, ‘wrap’}, optional
The mode parameter determines how the input array is extended when the filter overlaps a border. Default is ‘reflect’. Behavior for each valid value is as follows:
 ‘reflect’ (d c b a  a b c d  d c b a)
The input is extended by reflecting about the edge of the last pixel.
 ‘constant’ (k k k k  a b c d  k k k k)
The input is extended by filling all values beyond the edge with the same constant value, defined by the cval parameter.
 ‘nearest’ (a a a a  a b c d  d d d d)
The input is extended by replicating the last pixel.
 ‘mirror’ (d c b  a b c d  c b a)
The input is extended by reflecting about the center of the last pixel.
 ‘wrap’ (a b c d  a b c d  a b c d)
The input is extended by wrapping around to the opposite edge.
 cval : scalar, optional
Value to fill past edges of input if mode is ‘constant’. Default is 0.0.
 prefilter : bool, optional
Determines if the input array is prefiltered with
spline_filter
before interpolation. The default is True, which will create a temporary float64 array of filtered values if order > 1. If setting this to False, the output will be slightly blurred if order > 1, unless the input is prefiltered, i.e. it is the result of callingspline_filter
on the original input.
Returns:  affine_transform : ndarray
The transformed input.
Notes
The given matrix and offset are used to find for each point in the output the corresponding coordinates in the input by an affine transformation. The value of the input at those coordinates is determined by spline interpolation of the requested order. Points outside the boundaries of the input are filled according to the given mode.
Changed in version 0.18.0: Previously, the exact interpretation of the affine transformation depended on whether the matrix was supplied as a onedimensional or twodimensional array. If a onedimensional array was supplied to the matrix parameter, the output pixel value at index
o
was determined from the input image at positionmatrix * (o + offset)
.References
[1] (1, 2) https://en.wikipedia.org/wiki/Homogeneous_coordinates