Files
scikit-image/skimage/transform/_seam_carving.pyx
T
2015-11-11 20:18:00 +05:30

227 lines
8.1 KiB
Cython

# cython: cdivision=True
# cython: boundscheck=False
# cython: nonecheck=False
# cython: wraparound=False
import numpy as np
cimport numpy as cnp
cdef cnp.double_t DBL_MAX = np.finfo(np.double).max
cdef void _preprocess_image(cnp.double_t[:, :, ::1] energy_img,
cnp.double_t[:, ::1] cumulative_img,
cnp.int8_t[:, ::1] track_img,
Py_ssize_t cols) nogil:
""" For each row, compute the lowest seam value for all its columns.
This function updates `cumulative_img` such that `cumulative_img[r, c]`
is the total energy of the lowest energy seam ending at `(r, c)`.
Parameters
----------
energy_img : (M, N, 1) ndarray
Cost array representing the expense to remove each pixel. Seam carving
tries to avoid pixels with high costs.
cumulative_img : (M, N) ndarray
The array to be updated inplace with the total cost of lowest energy
seams.
track_img : (M, N) ndarray
For each pixel, `track_img` stores the relative column offset in
the previous row which has the lowest value in `cumulative_img`. This
helps in in re-tracing the minimum cost seam.
cols : int
Number of columns to process.
"""
cdef Py_ssize_t r, c, offset, c_idx
cdef Py_ssize_t rows = energy_img.shape[0]
cdef cnp.double_t min_cost = DBL_MAX
cdef Py_ssize_t colsm1 = cols - 1
cdef Py_ssize_t rm1
for c in range(cols):
cumulative_img[0, c] = energy_img[0, c, 0]
for r in range(1, rows):
rm1 = r - 1
for c in range(cols):
min_cost = DBL_MAX
for offset in range(-1, 2):
c_idx = c + offset
if (c_idx > colsm1) or (c_idx < 0):
continue
if cumulative_img[rm1, c_idx] < min_cost:
min_cost = cumulative_img[rm1, c_idx]
track_img[r, c] = offset
cumulative_img[r, c] = min_cost + energy_img[r, c, 0]
cdef bint _mark_seam(cnp.int8_t[:, ::1] track_img,
Py_ssize_t start_index,
cnp.uint8_t[:, ::1] seam_map,
Py_ssize_t[::1] seam_buffer) nogil:
""" Re-trace the optimal seam from a given column in the last row.
This function tries to re-track an optimal seam from `start_index` and
tries to mark it in `seam_map`. If this seam intersects with any existing
seam in `seam_map` the function returns `0` without marking anything. Else
it marks the seam in `seam_map` and returns `1`.
track_img : (M, N) ndarray
The array of relative column indices as updated by `_preprocess_image`.
start_index : int
The column number of the bottom most row from where to start re-tracing
the seam.
seam_map : (M, N) ndarray
The array used to mark seams. If a pixel is marked as as seam it is set
to `1`, else `0`.
seam_buffer : (M,) ndarray
Buffer used to store the column indices of the seam currently being
checked. This is preallocated to save time.
Returns
-------
success : int
`1` if seam was marked, `0` is seam intersects and was not marked.
"""
cdef Py_ssize_t rows = track_img.shape[0]
cdef Py_ssize_t[::1] current_seam_indices = seam_buffer
cdef Py_ssize_t row, col
cdef cnp.int8_t offset
cdef Py_ssize_t seams
current_seam_indices[rows - 1] = start_index
for row in range(rows - 2, -1, -1):
col = current_seam_indices[row + 1]
offset = track_img[row, col]
col = col + offset
current_seam_indices[row] = col
if seam_map[row, col]:
return 0
for row in range(rows):
col = current_seam_indices[row]
seam_map[row, col] = 1
return 1
cdef void _remove_seam(cnp.double_t[:, :, ::1] img,
cnp.uint8_t[:, ::1] seam_map, Py_ssize_t cols) nogil:
""" Remove marked seams from an image.
Parameters
----------
img : (M, N, P) ndarray
Input image whose vertical seams are to be removed.
seam_map : (M, N) ndarray
Array with seams to be removed marked by non-zero entries.
cols : int
The number of columns to process.
"""
cdef Py_ssize_t rows = img.shape[0]
cdef Py_ssize_t channels = img.shape[2]
cdef Py_ssize_t r, c, ch, shift
cdef Py_ssize_t c_shift
for r in range(rows):
shift = 0
for c in range(cols):
shift += seam_map[r, c]
c_shift = c + shift
for ch in range(channels):
img[r, c, ch] = img[r, c_shift, ch]
def _seam_carve_v(img, energy_map, iters, border):
""" Carve vertical seams off an image.
Carves out vertical seams from an image while using the given energy map to
decide the importance of each pixel.[1]_
Parameters
----------
img : (M, N) or (M, N, 3) ndarray
Input image whose vertical seams are to be removed.
energy_map : (M, N) ndarray
Cost array denoting importance of each pixel. The algorithm will try to
retain high valued pixels.
iters : int
Number of vertical seams to be removed.
border : int, optional
The number of pixels in the right, left and bottom end of the image
to be excluded from being considered for a seam. This is important as
certain filters just ignore image boundaries and set them to `0`.
By default border is set to `1`.
Returns
-------
image : (M, N - iters, 3) ndarray of float
The cropped image with the vertical seams removed.
References
----------
.. [1] Shai Avidan and Ariel Shamir
"Seam Carving for Content-Aware Image Resizing"
http://www.cs.jhu.edu/~misha/ReadingSeminar/Papers/Avidan07.pdf
"""
# This reference has been kept to be used for the `np.argsort` call
last_row_obj = np.zeros(img.shape[1], dtype=np.float)
cdef cnp.double_t[::1] last_row = last_row_obj
cdef Py_ssize_t[::1] sorted_indices
cdef cnp.uint8_t[:, ::1] seam_map = np.zeros(img.shape[0:2],
dtype=np.uint8)
cdef Py_ssize_t cols = img.shape[1]
cdef Py_ssize_t rows = img.shape[0]
cdef Py_ssize_t seams_left = iters
cdef Py_ssize_t seams_removed
cdef Py_ssize_t seam_idx
cdef Py_ssize_t[::1] seam_buffer = np.zeros(rows, dtype=np.intp)
cdef cnp.double_t[:, :, ::1] image = img
cdef cnp.int8_t[:, ::1] track_img = np.zeros(img.shape[0:2], dtype=np.int8)
cdef cnp.double_t[:, ::1] cumulative_img = np.zeros(img.shape[0:2],
dtype=np.float)
cdef cnp.double_t[:, :, ::1] energy_img
energy_map[:, 0:border] = DBL_MAX
energy_map[:, cols-border:cols] = DBL_MAX
# Filters often let the boundary be `0`. If all the entries in the last
# row of `energy_img` are equal, the minimum value in the penultimate row
# of `cumulative_img` will result in 3 minimum values in its last row.
# Hence, two successive removals will always intersect as the 3 least seams
# will share the same pixels except they will differ in the last row.
energy_map[rows-border:rows, :] = energy_map[rows-2*border:rows-border, :]
energy_map = np.ascontiguousarray(energy_map[:, :, np.newaxis])
energy_img = energy_map
_preprocess_image(energy_img, cumulative_img, track_img, cols)
last_row[...] = cumulative_img[rows - 1, :]
sorted_indices = np.argsort(last_row_obj)
seam_idx = 0
while seams_left > 0:
if _mark_seam(track_img, sorted_indices[seam_idx], seam_map,
seam_buffer):
seams_left -= 1
cols -= 1
seam_idx += 1
else:
seam_idx = 0
_remove_seam(image, seam_map, cols)
_remove_seam(energy_img, seam_map, cols)
seam_map[...] = 0
_preprocess_image(energy_img, cumulative_img, track_img, cols)
last_row[:cols] = cumulative_img[rows - 1, :cols]
sorted_indices = np.argsort(last_row_obj)
_remove_seam(image, seam_map, cols)
return img[:, 0:cols]